Upper bound estimate for the norm of repeated de la Vallée Poussin operators

Authors: Rovenska, Olga

Source: Journal of Mathematical Inequalities. :297-303

Subject Terms: Linear operator approximation theory, repeated de la Vallée Poussin means, operator norm, Trigonometric approximation, upper bound estimation, Approximation by operators (in particular, by integral operators), Lebesgue constant

File Description: application/xml

Access URL: https://zbmath.org/8032788
https://doi.org/10.7153/jmi-2025-19-20

A new class of gamma-type operator and its improvement: theory and numerical experiments

Authors: Hassan Khosravian-Arab, Mehdi Dehghan

Source: Computational and Applied Mathematics. 44

Subject Terms: Linear operator approximation theory, Weierstrass' theorem, Approximations and expansions, Algorithms for approximation of functions, Numerical integration, positive linear operator, Voronovskaja's asymptotic formula, Korovkin theorem, Linear operator methods in interpolation, moment and extension problems, uniform convergence, second-order approximation

File Description: application/xml

Access URL: https://zbmath.org/8034210
https://doi.org/10.1007/s40314-025-03174-2

On the Regularization by Durrmeyer-Sampling Type Operators in $$L^p$$-Spaces via a Distributional Approach: On the regularization by Durrmeyer-sampling type operators in \(L^p\)-spaces via a distributional approach

Authors: Danilo Costarelli, Michele Piconi, Gianluca Vinti

Source: Journal of Fourier Analysis and Applications. 31

Subject Terms: Linear operator approximation theory, Signal theory (characterization, reconstruction, filtering, etc.), Approximation by operators (in particular, by integral operators), Durrmeyer-sampling operators, Rate of convergence, degree of approximation, regularization properties, Bernstein classes, Distribution theory, Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.), bandlimited kernel, Bandlimited kernel, Linear operators on function spaces (general), distribution theory, Regularization properties

File Description: application/xml

Access URL: https://hdl.handle.net/11391/1601654
https://doi.org/10.1007/s00041-024-10121-y

On approximation properties of some non-positive Bernstein-Durrmeyer type operators

Authors: Vasian Bianca Ioana

Source: Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, Vol 31, Iss 1, Pp 251-269 (2023)

Subject Terms: Linear operator approximation theory, primary 47a58, 41a25, Rate of convergence, degree of approximation, Norms (inequalities, more than one norm, etc.) of linear operators, non-positive operators, secondary 47a30, 41a10, linear operators, Approximation by polynomials, bernstein-durrmeyer type operators, QA1-939, quantitative results, approximation by operators, Bernstein-Durrmeyer type operators, Mathematics

File Description: application/xml

Access URL: https://zbmath.org/8036475
https://doi.org/10.2478/auom-2023-0014
https://doaj.org/article/e17ed30ed6c1458fb95ffcc52febb17d

Convergence of Iterates of Normal Operators in L2 Spases: Convergence of iterates of normal operators in \(L^2\) spases

Authors: Mustafayev, H.

Source: Azerbaijan Journal of Mathematics. :181

Subject Terms: Linear operator approximation theory, Hermitian and normal operators (spectral measures, functional calculus, etc.), norm convergence, almost everywhere convergence, \(L^2\)-space, normal operator, Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)

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Access URL: https://zbmath.org/7920841

Some estimates for resolvent operators under the discretization by finite element method

Authors: Figueroa-López, R., Lozada-Cruz, G.

Contributors: Universidade Estadual Paulista (UNESP)

Source: Repositório Institucional da UNESP
Universidade Estadual Paulista (UNESP)
instacron:UNESP

Subject Terms: Resolvent operator approximation, Linear operator approximation theory, Finite elements method, Parabolic equations, Initial-boundary value problems for second-order parabolic equations, parabolic equations, resolvent operator approximation, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, finite elements method, 14. Life underwater, 0101 mathematics, 15. Life on land, 01 natural sciences

File Description: application/xml

Access URL: https://repositorio.unesp.br/bitstream/11449/168037/1/2-s2.0-84942117927.pdf
https://zbmath.org/6497591
https://doi.org/10.1007/s40314-014-0168-1
https://repositorio.unesp.br/handle/11449/168037
https://link.springer.com/article/10.1007/s40314-014-0168-1
https://link.springer.com/content/pdf/10.1007%2Fs40314-014-0168-1.pdf
https://link.springer.com/article/10.1007/s40314-014-0168-1/fulltext.html

Almost periodic Sturm-Liouville operators with Cantor homogeneous spectrum

Authors: Sodin, Mikhail, Yuditskii, Peter

Source: Algebraic and Geometric Methods in Mathematical Physics ISBN: 9789048146635

Subject Terms: Linear operator approximation theory, Weyl functions, almost periodic, General theory of ordinary differential operators, Classical almost periodic functions, mean periodic functions, 01 natural sciences, Article, Weyl theory and its generalizations for ordinary differential equations, homogeneous spectrum, Sturm-Liouville theory, 510.mathematics, Almost and pseudo-almost periodic solutions to ordinary differential equations, Abel map, Spectrum, resolvent, 0101 mathematics

File Description: application/xml; image/jpeg; application/pdf

Access URL: https://rd.springer.com/chapter/10.1007/978-94-017-0693-3_30
https://link.springer.com/chapter/10.1007/978-94-017-0693-3_30
https://link.springer.com/10.1007/978-94-017-0693-3_30
https://eudml.org/doc/140386

Self-commutator approximants

Authors: Philip Maher

Source: Proceedings of the American Mathematical Society. 134:157-165

Subject Terms: Linear operator approximation theory, Linear operators belonging to operator ideals (nuclear, \(p\)-summing, in the Schatten-von Neumann classes, etc.), self-adjointness, approximation by commutators: Heisenberg uncertainty principle, normality, Commutators, derivations, elementary operators, etc, self-commutators, Norms (inequalities, more than one norm, etc.) of linear operators, Schatten--von Neumann class, 0101 mathematics, Subnormal operators, hyponormal operators, etc, 01 natural sciences

File Description: application/xml

Access URL: https://www.ams.org/proc/2006-134-01/S0002-9939-05-07871-8/S0002-9939-05-07871-8.pdf
https://www.ams.org/proc/2006-134-01/S0002-9939-05-07871-8/S0002-9939-05-07871-8.pdf
https://eprints.mdx.ac.uk/636/
https://dialnet.unirioja.es/servlet/articulo?codigo=1396935
https://www.ams.org/journals/proc/2006-134-01/S0002-9939-05-07871-8/home.html

Optimal commuting approximation of Hermitian operators

Authors: TICOZZI, FRANCESCO

Source: Linear Algebra and its Applications. 400:319-325

Subject Terms: Linear operators belonging to operator ideals (nuclear, \(p\)-summing, in the Schatten-von Neumann classes, etc.), Linear operator approximation theory, Numerical Analysis, Algebra and Number Theory, Quantum information, Applications of operator theory in the physical sciences, quantum information theory, compact Hermitian operator, Hilbert--Schmidt class, 01 natural sciences, Sylvester equation, approximation problems, optimal decomposition, commuting decomposition, Discrete Mathematics and Combinatorics, Geometry and Topology, 0101 mathematics, Approximation problems, density matrix

File Description: application/xml; application/pdf

Access URL: https://www.research.unipd.it/handle/11577/1431703
https://www.sciencedirect.com/science/article/pii/S002437950400518X
https://core.ac.uk/display/53401787
https://www.openaccessrepository.it/record/173570

Approximation and then-Berezin transform of operators on the Bergman space: Approximation and the \(n\)-Berezin transform of operators on the Bergman space

Authors: Suarez, Fernando Daniel

Source: CONICET Digital (CONICET)
Consejo Nacional de Investigaciones Científicas y Técnicas

Subject Terms: Linear operator approximation theory, BEREZIN TRANSFORMS, Linear operators in algebras, TOEPLITZ OPERATORS, 01 natural sciences, Toeplitz algebra, Algebras of specific types of operators (Toeplitz, integral, pseudodifferential, etc.), Berezin transform, Toeplitz operator, Toeplitz operators, Hankel operators, Wiener-Hopf operators, Bergman space, 0101 mathematics, Hilbert spaces of continuous, differentiable or analytic functions, BERGMAN SPACE

File Description: application/xml; application/pdf

Access URL: https://ri.conicet.gov.ar/bitstream/11336/108528/2/CONICET_Digital_Nro.f71245b5-037e-4af9-8be8-83d82b9cf658_A.pdf
https://ri.conicet.gov.ar/handle/11336/108528
https://www.degruyter.com/document/doi/10.1515/crll.2005.2005.581.175/html
https://notablesdelaciencia.conicet.gov.ar/handle/11336/108528
https://ri.conicet.gov.ar/bitstream/11336/108528/2/CONICET_Digital_Nro.f71245b5-037e-4af9-8be8-83d82b9cf658_A.pdf
http://hdl.handle.net/11336/108528

ALGEBRAS DENSE IN $L^2$ SPACES: AN OPERATOR APPROACH: Algebras dense in \(L^2\) spaces: an operator approach

Authors: Wojtylak, Michał

Source: Glasgow Mathematical Journal. 47:155-165

Subject Terms: Linear operator approximation theory, Linear symmetric and selfadjoint operators (unbounded), Abstract approximation theory (approximation in normed linear spaces and other abstract spaces), unbounded operator, Hermitian and normal operators (spectral measures, functional calculus, etc.), 0101 mathematics, Hilbert spaces of continuous, differentiable or analytic functions, approximation, 01 natural sciences, \(L^2\) space, finite measure space

File Description: application/xml

Access URL: https://www.cambridge.org/core/services/aop-cambridge-core/content/view/22F5719A47B312CA7889235D019743D8/S0017089504002216a.pdf/div-class-title-algebras-dense-in-l-2-spaces-an-operator-approach-div.pdf
http://www.journals.cambridge.org/abstract_S0017089504002216
https://ruj.uj.edu.pl/xmlui/handle/item/82042

Algorithms for approximation of invariant measures for IFS

Authors: Anders Öberg

Source: manuscripta mathematica. 116:31-55

Subject Terms: Linear operator approximation theory, Ulam algorithm, Ergodic theorems, spectral theory, Markov operators, invariant measures, recursive algorithm, Functional analytic techniques in dynamical systems, zeta functions, (Ruelle-Frobenius) transfer operators, etc, 0103 physical sciences, Computational methods for ergodic theory (approximation of invariant measures, computation of Lyapunov exponents, entropy, etc.), iterated function systems, 0101 mathematics, 01 natural sciences

File Description: application/xml

Access URL: https://zbmath.org/2236885
https://doi.org/10.1007/s00229-004-0515-4
http://uu.diva-portal.org/smash/record.jsf?pid=diva2:105759
https://rd.springer.com/article/10.1007/s00229-004-0515-4
https://link.springer.com/article/10.1007%2Fs00229-004-0515-4
https://link.springer.com/content/pdf/10.1007%2Fs00229-004-0515-4.pdf
http://www.diva-portal.org/smash/record.jsf?pid=diva2:105759

The Quasiapproximate $(\mathcal{U} + \mathcal{K})$ ?Invariants of Essentially Normal Operators: The quasiapproximate \((\mathcal U + \mathcal K)\)-invariants of essentially normal operators

Authors: Jue Xian Li, You Qing Ji

Source: Integral Equations and Operator Theory. 50:255-278

Subject Terms: Linear operator approximation theory, Structure theory of linear operators, Hilbert space, Cowen-Douglas operator, quasiapproximate \((\mathcal U + \mathcal K)\)-equivalence, 01 natural sciences, General theory of linear operators, essentially normal operator, Bergmann operator, unilateral weighted operator, Hermitian and normal operators (spectral measures, functional calculus, etc.), Spectrum, resolvent, 0101 mathematics, Subnormal operators, hyponormal operators, etc

File Description: application/xml

Access URL: https://zbmath.org/2138206
https://doi.org/10.1007/s00020-003-1226-z
https://zbmath.org/1789723
https://link.springer.com/article/10.1007/s00020-003-1226-z

On polynomial approximation of the inverseof an operator: On polynomial approximation of the inverse of an operator

Authors: Avraham Feintuch

Source: Linear Algebra and its Applications. 389:323-328

Subject Terms: Linear operator approximation theory, Numerical Analysis, Algebra and Number Theory, Hilbert space, General (adjoints, conjugates, products, inverses, domains, ranges, etc.), resolvent, Invertible operator, 01 natural sciences, Invariant subspace, Abstract approximation theory (approximation in normed linear spaces and other abstract spaces), Approximation by polynomials, invariant subspace, Discrete Mathematics and Combinatorics, invertible operator, inverse operator, Geometry and Topology, 0101 mathematics, Resolvent

File Description: application/xml

Access URL: https://core.ac.uk/display/82051614
https://www.sciencedirect.com/science/article/pii/S0024379504001557

DISCRETE APPROXIMATION OF NON-COMPACT OPERATORS DESCRIBING CONTINUUM-OF-ALLELES MODELS: Discrete approximation of non-compact operators describing continuum-of-alleles models

Authors: Oliver Redner

Source: Proceedings of the Edinburgh Mathematical Society. 47:449-472

Subject Terms: Linear operator approximation theory, Eigenvalue problems for integral equations, non-compact operators, Applications of operator theory in chemistry and life sciences, 45C05, 47A58, 47B34, Numerical methods for integral equations, multiplication operators, 01 natural sciences, mutation-selection models, Mathematics - Spectral Theory, FOS: Mathematics, discretization, Genetics and epigenetics, Kernel operators, continuum-of-alleles models, 0101 mathematics, Spectral Theory (math.SP), kernel operators

File Description: application/xml

Access URL: https://www.cambridge.org/core/services/aop-cambridge-core/content/view/0C841B93ED852FA12720803B31618300/S0013091503000476a.pdf/div-class-title-discrete-approximation-of-non-compact-operators-describing-continuum-of-alleles-models-div.pdf
http://arxiv.org/abs/math/0301024
https://zbmath.org/2135020
https://doi.org/10.1017/s0013091503000476
https://www.arxiv-vanity.com/papers/math/0301024/
http://ui.adsabs.harvard.edu/abs/2003math......1024R/abstract
https://arxiv.org/pdf/math/0301024
https://www.cambridge.org/core/services/aop-cambridge-core/content/view/0C841B93ED852FA12720803B31618300/S0013091503000476a.pdf/div-class-title-discrete-approximation-of-non-compact-operators-describing-continuum-of-alleles-models-div.pdf
https://www.cambridge.org/core/journals/proceedings-of-the-edinburgh-mathematical-society/article/discrete-approximation-of-noncompact-operators-describing-continuumofalleles-models/0C841B93ED852FA12720803B31618300
https://arxiv.org/abs/math/0301024
https://arxiv.org/pdf/math/0301024v2

R-bounded approximating sequences and applications to semigroups

Authors: Nigel J. Kalton, Tamara Kucherenko, M. Hoffmann

Source: Journal of Mathematical Analysis and Applications. 294:373-386

Subject Terms: Linear operator approximation theory, strongly continuous semigroups, One-parameter semigroups and linear evolution equations, approximation property, Applied Mathematics, Approximation property, R-boundedness, 0101 mathematics, Strongly continuous semigroups, 01 natural sciences, Analysis

File Description: application/xml

Access URL: https://zbmath.org/2085961
https://doi.org/10.1016/j.jmaa.2003.10.048
https://www.sciencedirect.com/science/article/abs/pii/S0022247X04001726
https://core.ac.uk/display/81136889
https://www.sciencedirect.com/science/article/pii/S0022247X04001726
http://kaltonmemorial.missouri.edu/docs/jmaa2004.pdf

Codimension-one minimal projections onto Haar subspaces

Authors: Lewicki, Grzegorz, Prophet, Michael

Source: Journal of Approximation Theory. 127:198-206

Subject Terms: Linear operator approximation theory, interpolating projection, Mathematics(all), Numerical Analysis, Minimal projection, Interpolating projection, Haar subspace, Applied Mathematics, minimal projection, 0101 mathematics, 01 natural sciences, Interpolation in approximation theory, Analysis

File Description: application/xml

Access URL: https://zbmath.org/2086006
https://doi.org/10.1016/j.jat.2004.03.002
https://scholarworks.uni.edu/facpub/3167/
https://www.sciencedirect.com/science/article/pii/S0021904504000395
https://core.ac.uk/display/82511660
https://dialnet.unirioja.es/servlet/articulo?codigo=869508
https://www.sciencedirect.com/science/article/abs/pii/S0021904504000395
https://dblp.uni-trier.de/db/journals/jat/jat127.html#LewickiP04
https://ruj.uj.edu.pl/xmlui/handle/item/82469

Estimates of Interpolation Accuracy of Polynomial and Integral Functionals in L 2(0,1): Estimates of interpolation accuracy of polynomial and integral functionals in \(L_2(0,1)\)

Authors: V. V. Khlobystov, E. F. Kashpur

Source: Cybernetics and Systems Analysis. 40:75-80

Subject Terms: Linear operator approximation theory, function space, accuracy, Equations involving nonlinear operators (general), 0211 other engineering and technologies, measure, 02 engineering and technology, nonlinear system, operator interpolation, 01 natural sciences, Numerical interpolation, 0101 mathematics, Linear operator methods in interpolation, moment and extension problems, Interpolation in approximation theory

File Description: application/xml

Access URL: https://zbmath.org/2183762
https://doi.org/10.1023/b:casa.0000028102.39778.42
https://dl.acm.org/doi/10.1023/B%3ACASA.0000028102.39778.42
https://link.springer.com/article/10.1023/B%3ACASA.0000028102.39778.42

Simultaneous Interpolation and Approximation by a Class of Multivariate Positive Operators: Simultaneous interpolation and approximation by a class of multivariate positive operators

Authors: ALLASIA, Giampietro

Source: Numerical Algorithms. 34:147-158

Subject Terms: Linear operator approximation theory, cardinal basis, convergence property, Approximation by positive operators, 0202 electrical engineering, electronic engineering, information engineering, 02 engineering and technology, 0101 mathematics, multivariate interpolation, positive operator, 01 natural sciences, Interpolation in approximation theory, scattered data

File Description: application/xml

Access URL: https://link.springer.com/article/10.1023/B:NUMA.0000005359.72118.b6
https://doi.org/10.1023/B:NUMA.0000005359.72118.b6
https://ui.adsabs.harvard.edu/abs/2003NuAlg..34..147A/abstract
https://dblp.uni-trier.de/db/journals/na/na34.html#Allasia03
https://hdl.handle.net/2318/6262

The approximation property in terms of the approximability of weak∗-weak continuous operators: The approximation property in terms of the approximability of weak\(^*\)-weak continuous operators.

Authors: Anders Pelander, Eve Oja

Source: Journal of Mathematical Analysis and Applications. 286:713-723

Subject Terms: Linear operator approximation theory, net of operators, Geometry and structure of normed linear spaces, Banach space, approximation property, metric conditions, Applied Mathematics, Linear operators defined by compactness properties, 0101 mathematics, Spaces of operators, tensor products, approximation properties, 01 natural sciences, Analysis

File Description: application/xml

Access URL: http://www.diva-portal.org/smash/record.jsf?pid=diva2:76062
https://www.sciencedirect.com/science/article/pii/S0022247X03005134