A New Analysis of Empirical Interpolation Methods and Chebyshev Greedy Algorithms: A new analysis of empirical interpolation methods and Chebyshev greedy algorithms

Συγγραφείς: Li, Yuwen

Πηγή: SIAM Journal on Numerical Analysis. 63:931-948

Θεματικοί όροι: reduced basis greedy algorithm, 41A46, 41A65, 65J05, 65M12, Approximation by arbitrary nonlinear expressions, widths and entropy, Numerical Analysis (math.NA), General theory of numerical analysis in abstract spaces, metric entropy numbers, 01 natural sciences, parametrized PDE, Abstract approximation theory (approximation in normed linear spaces and other abstract spaces), dictionary approximation, empirical interpolation method, Chebyshev greedy algorithm, FOS: Mathematics, Mathematics - Numerical Analysis, 0101 mathematics, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: http://arxiv.org/abs/2401.13985

Hereditary properties of lower semicontinuous metric projection and solar properties of sets

Συγγραφείς: A. R. Alimov

Πηγή: The Journal of Analysis. 33:743-753

Θεματικοί όροι: acting point, Abstract approximation theory (approximation in normed linear spaces and other abstract spaces), lower semicontinuous metric projection, monotone path-connected set, strict sun

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/8035920
https://doi.org/10.1007/s41478-024-00859-5

Approximation Bounds for Model Reduction on Polynomially Mapped Manifolds: Approximation bounds for model reduction on polynomially mapped manifolds

Συγγραφείς: Patrick Buchfink, Silke Glas, Bernard Haasdonk

Πηγή: Comptes Rendus. Mathématique, Vol 362, Iss G13, Pp 1881-1891 (2024)

Θεματικοί όροι: polynomial mappings, polynomial \((n,p)\)-widths, Approximation by arbitrary nonlinear expressions, widths and entropy, polynomial $(n,p)$-widths, Numerical Analysis (math.NA), Abstract approximation theory (approximation in normed linear spaces and other abstract spaces), model order reduction, Approximation by arbitrary linear expressions, QA1-939, FOS: Mathematics, Model Order Reduction, Mathematics - Numerical Analysis, 41A45, 41A46, 41A65, 65L70, 65M15, 65N15, nonlinear manifolds, Mathematics

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: http://arxiv.org/abs/2312.00724
https://zbmath.org/7962937
https://doi.org/10.5802/crmath.632
https://doaj.org/article/f09aa9efd6ea49c6a9e07db702060c8f
https://research.utwente.nl/en/publications/b064ea0e-9f48-411c-bf6c-8e1ccd77d61f

On the finitary content of Dykstra’s cyclic projections algorithm: On the finitary content of Dykstra's cyclic projections algorithm

Συγγραφείς: Pedro Pinto

Πηγή: Zeitschrift für Analysis und ihre Anwendungen. 44:165-192

Θεματικοί όροι: Convex programming, Dykstra's algorithm, 47H09, 41A65, 90C25, 03F10, rates of convergence, Functionals in proof theory, metastability, Abstract approximation theory (approximation in normed linear spaces and other abstract spaces), proof mining, Optimization and Control (math.OC), projection methods, FOS: Mathematics, Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc, Mathematics - Optimization and Control, convex feasibility

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: http://arxiv.org/abs/2306.09791

$$\varepsilon $$-isometries in $$l^n_1$$: \(\varepsilon\)-isometries in \(l^n_1\)

Συγγραφείς: Vestfrid, Igor A.

Πηγή: Aequationes mathematicae. 98:1647-1655

Θεματικοί όροι: Abstract approximation theory (approximation in normed linear spaces and other abstract spaces), \(\varepsilon\)-isometry, Isometric theory of Banach spaces, Classical Banach spaces in the general theory

Περιγραφή αρχείου: application/xml

Twenty-five years of greedy bases

Συγγραφείς: Fernando Albiac, José L. Ansorena, Vladimir Temlyakov

Συνεισφορές: Estadística, Informática y Matemáticas, Estatistika, Informatika eta Matematika, Institute for Advanced Materials and Mathematics - INAMAT2, Academica-e

Πηγή: Academica-e. Repositorio Institucional de la Universidad Pública de Navarra
Universidad Pública de Navarra
Dialnet CRIS Repositorio institucional de la Universidad de La Rioja
instname
RIUR. Repositorio Institucional de la Universidad de La Rioja
Universidad de La Rioja (UR)

Θεματικοί όροι: 41A65 (Primary) 41A25, 41A46, 41A17, 46B15 (Secondary), Approximation by arbitrary nonlinear expressions, widths and entropy, Summability and bases, functional analytic aspects of frames in Banach and Hilbert spaces, Rate of convergence, degree of approximation, And quasi-greedy basis, nonlinear approximation, Functional Analysis (math.FA), Mathematics - Functional Analysis, and quasi-greedy basis, Abstract approximation theory (approximation in normed linear spaces and other abstract spaces), FOS: Mathematics, greedy, Thresholding greedy algorithm, Almost greedy, thresholding greedy algorithm, Greedy, Nonlinear approximation, Inequalities in approximation (Bernstein, Jackson, Nikol'skiĭ-type inequalities), almost greedy

Περιγραφή αρχείου: application/pdf; application/xml

Σύνδεσμος πρόσβασης: http://arxiv.org/abs/2405.20939
https://academica-e.unavarra.es/handle/2454/53645
https://ur.portalcientifico.es/documentos/67842b2c05ff3328ea835bac
https://investigacion.unirioja.es/documentos/67842b2c05ff3328ea835bac

Necessary and sufficient conditions for imbedding in the theory of best approximation by polynomials

Συγγραφείς: Nguyen Xuan Ky

Πηγή: Publicationes Mathematicae Debrecen. 40:85-90

Θεματικοί όροι: Best approximation, Chebyshev systems, Abstract approximation theory (approximation in normed linear spaces and other abstract spaces), Approximation by polynomials, Jacobi polynomials, 0101 mathematics, 01 natural sciences, Approximation by other special function classes

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/55014

Invariant approximation in 2-banach space with $$H^{+}$$ mappings: Invariant approximation in 2-Banach space with \(H^+\) mappings

Συγγραφείς: Pitchaimani, M., Saravanan, K.

Πηγή: Afrika Matematika. 35

Θεματικοί όροι: Fixed-point theorems, Abstract approximation theory (approximation in normed linear spaces and other abstract spaces), asymptotic radius, Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc, ultrafilters, proximinal, asymptotic center, ultrapower, best approximation, demiclosed, invariant approximation

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/7846864
https://doi.org/10.1007/s13370-024-01169-6

Weak convergence of fixed point iterations in $S$-metric spaces: Weak convergence of fixed point iterations in \(S\)-metric spaces

Συγγραφείς: Siva G, Loganathan S

Πηγή: Journal of Mahani Mathematical Research, Vol 13, Iss 1, Pp 563-574 (2023)

Θεματικοί όροι: Abstract approximation theory (approximation in normed linear spaces and other abstract spaces), semi s-metric space, Fixed-point and coincidence theorems (topological aspects), semi \(S\)-metric space, QA1-939, weak convergence, directed set, Special maps on metric spaces, Mathematics

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://doaj.org/article/44140fd193c0426390bb99bc489e3346

Analog of the Riesz Identity and Sharp Inequalities for Derivatives and Differences of Splines in the Uniform Metric: Analog of the Riesz identity and sharp inequalities for derivatives and differences of splines in the uniform metric

Συγγραφείς: O. L. Vinogradov

Πηγή: Journal of Mathematical Sciences. 239:268-281

Θεματικοί όροι: Abstract approximation theory (approximation in normed linear spaces and other abstract spaces), Spline approximation, Bernstein inequalities, Riesz identities, 0102 computer and information sciences, 0101 mathematics, Inequalities in approximation (Bernstein, Jackson, Nikol'skiĭ-type inequalities), 01 natural sciences

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/7083689
https://doi.org/10.1007/s10958-019-04303-z
https://zbmath.org/7270507
https://doi.org/10.1007/s10958-020-05082-8
https://link.springer.com/content/pdf/10.1007/s10958-019-04303-z.pdf
https://link.springer.com/article/10.1007/s10958-020-05082-8

Some common best proximity point theorems in a complete metric space

Συγγραφείς: Lakshmi Kanta Dey, Saranan Mondal

Πηγή: Afrika Matematika. 28:85-97

Θεματικοί όροι: Fixed-point theorems, Abstract approximation theory (approximation in normed linear spaces and other abstract spaces), Fixed-point and coincidence theorems (topological aspects), Kannan mappings, best proximity point, \(C\)-contraction, 0101 mathematics, weak \(P\)-property, 01 natural sciences

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/6737839
https://doi.org/10.1007/s13370-016-0432-1
https://link.springer.com/article/10.1007/s13370-016-0432-1

Direct and inverse theorems on approximation of solution of operator equation: Direct and inverse theorems on approximation of solutions of operator equations

Συγγραφείς: Gorbachuk, M.L., Gorbachuk, V.I.

Θεματικοί όροι: Linear symmetric and selfadjoint operators (unbounded), Abstract approximation theory (approximation in normed linear spaces and other abstract spaces), Ritz's approximation, Inverse theorems in approximation theory, Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations, approximation of solution, boundary value conditions, operator equation, rate of approximation, selfajoint positive operator, positive operator, Equations and inequalities involving linear operators, with vector unknowns, smooth elements of operator

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/1641380
http://dspace.nbuv.gov.ua/handle/123456789/169280

Interpolation and approximation from sublattices of C₀(X; R)

Συγγραφείς: Kashimoto, Marcia S.

Πηγή: Proyecciones (Antofagasta); Vol. 38 No. 3 (2019); 395-400 ; Proyecciones. Revista de Matemática; Vol. 38 Núm. 3 (2019); 395-400 ; 0717-6279 ; 10.22199/issn.0717-6279-2019

Θεματικοί όροι: Bonsall, Lattices, Interpolation, Approximation, Abstract approximation theory (approximation in normed linear spaces and other abstract spaces), 41A65, 41A05

Περιγραφή αρχείου: application/pdf

Relation: https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/3689/3211; https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/3689

Διαθεσιμότητα: https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/3689
https://doi.org/10.22199/issn.0717-6279-2019-03-0025

Diameter Approximate Best Proximity Pair in Fuzzy Normed Spaces: Diameter approximate best proximity pair in fuzzy normed spaces

Συγγραφείς: S. A. M. Mohsenialhosseini, Morteza Saheli

Πηγή: Sahand Communications in Mathematical Analysis, Vol 16, Iss 1, Pp 17-34 (2019)

Θεματικοί όροι: $alpha$-asymptotically regular, Cyclic maps, \(\alpha\)-asymptotically regular, Fuzzy functional analysis, 02 engineering and technology, 01 natural sciences, $F$-Kannan operator, Fuzzy diameter, Abstract approximation theory (approximation in normed linear spaces and other abstract spaces), cyclic maps, 0202 electrical engineering, electronic engineering, information engineering, QA1-939, \(F\)-Kannan operator, fuzzy diameter, 0101 mathematics, Mathematics

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/7125352
https://doi.org/10.22130/scma.2018.83850.420
https://doaj.org/article/6a9f527e257b4f7e8faeb45e6d5c5be9
https://scma.maragheh.ac.ir/article_36659_89544cc8cecc2b2c61d92c42dffa6116.pdf
https://scma.maragheh.ac.ir/article_36659.html

Gaussian Radial Basis Functions and Inner-Product Spaces: Gaussian radial basis functions and inner product spaces.

Συγγραφείς: Irwin W. Sandberg

Πηγή: Lecture Notes in Computer Science ISBN: 9783540424864

Θεματικοί όροι: 03 medical and health sciences, Abstract approximation theory (approximation in normed linear spaces and other abstract spaces), 0302 clinical medicine, 4. Education, 0202 electrical engineering, electronic engineering, information engineering, 02 engineering and technology, Approximation by other special function classes, uniform approximate

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/1716866
https://doi.org/10.1007/bf01270933
https://dblp.uni-trier.de/db/conf/icann/icann2001.html#Sandberg01
https://link.springer.com/content/pdf/10.1007%2F3-540-44668-0_25.pdf
https://rd.springer.com/chapter/10.1007/3-540-44668-0_25
https://link.springer.com/article/10.1007/BF01270933
https://link.springer.com/content/pdf/10.1007/BF01270933.pdf
https://link.springer.com/article/10.1007%2FBF01270933

Approximation in normed linear spaces

Συγγραφείς: G. A. Watson

Πηγή: Numerical Analysis: Historical Developments in the 20th Century ISBN: 9780444506177

Θεματικοί όροι: minimization of norm, Computational Mathematics, Abstract approximation theory (approximation in normed linear spaces and other abstract spaces), uniform approximation, linear, one variable, Applied Mathematics, numerical methods, rational, splines, 0101 mathematics, 01 natural sciences

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/1533126
https://doi.org/10.1016/s0377-0427(00)00333-2
https://ui.adsabs.harvard.edu/abs/2000JCoAM.121....1W/abstract
https://www.sciencedirect.com/science/article/abs/pii/S0377042700003332
https://www.sciencedirect.com/science/article/pii/S0377042700003332
https://perso.uclouvain.be/alphonse.magnus/watsonjc.pdf
https://www.sciencedirect.com/science/article/pii/S0377042700003332#!
https://dialnet.unirioja.es/servlet/articulo?codigo=700166

On adaptive estimators in statistical learning theory

Συγγραφείς: E. D. Livshits, S. V. Konyagin

Πηγή: Proceedings of the Steklov Institute of Mathematics. 260:185-193

Θεματικοί όροι: Abstract approximation theory (approximation in normed linear spaces and other abstract spaces), General nonlinear regression, Inequalities, stochastic orderings, 0101 mathematics, 01 natural sciences

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/6013102
https://doi.org/10.1134/s0081543808010136
https://link.springer.com/article/10.1134/S0081543808010136
https://link.springer.com/10.1134/S0081543808010136

Methods of Chebyshev points of convex sets and their applications

Συγγραφείς: V. P. Bulatov, E. N. Yas’kova, T. I. Belykh

Πηγή: Computational Mathematics and Mathematical Physics. 48:16-29

Θεματικοί όροι: Convex programming, Abstract approximation theory (approximation in normed linear spaces and other abstract spaces), Numerical mathematical programming methods, Control/observation systems with incomplete information, 0211 other engineering and technologies, Chebyshev points, 02 engineering and technology, convex programming, integer programming

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/5282402
https://doi.org/10.1007/s11470-008-1002-x
https://link.springer.com/article/10.1134/S0005117908040164
https://rd.springer.com/article/10.1134/S0005117908040164
https://link.springer.com/content/pdf/10.1134/S0965542508010028.pdf
https://ui.adsabs.harvard.edu/abs/2008CMMPh..48...16B/abstract

New Type of Simultaneous Remotal Sets in Certain Banach Spaces: New type of simultaneous remotal sets in certain Banach spaces

Συγγραφείς: Al-Sharif, Sh., Awad, A.

Πηγή: Missouri J. Math. Sci. 30, iss. 1 (2018), 45-53

Θεματικοί όροι: extremal point, 46B20, Banach spaces, Geometry and structure of normed linear spaces, Abstract approximation theory (approximation in normed linear spaces and other abstract spaces), remotal sets, 0202 electrical engineering, electronic engineering, information engineering, 41A65, 02 engineering and technology, remotal set, 0101 mathematics, best approximation, 01 natural sciences

Περιγραφή αρχείου: application/xml; application/pdf

Σύνδεσμος πρόσβασης: https://zbmath.org/6949048
https://projecteuclid.org/euclid.mjms/1534384952

Convergences for Sequences of Sets and Linear Mappings: Convergences for sequences of sets and linear mappings

Συγγραφείς: Yves Sonntag, Constantin Zălinescu

Πηγή: Operations Research ’93 ISBN: 9783790807943

Θεματικοί όροι: optimization problems, Kurotowski, Attouch and Wets, Applied Mathematics, Topological linear spaces and related structures, Convex sets in topological linear spaces, Choquet theory, \(K\)-convergence, convergences of sequences of subsets, 01 natural sciences, Geometry and structure of normed linear spaces, Abstract approximation theory (approximation in normed linear spaces and other abstract spaces), AW-convergence, 0101 mathematics, Set-valued operators, Analysis

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: http://www.sciencedirect.com/science/article/pii/S0022247X84714491
https://www.sciencedirect.com/science/article/pii/S0022247X84714491
https://core.ac.uk/display/82502088
http://www.sciencedirect.com/science/article/pii/S0022247X84714491
https://rd.springer.com/chapter/10.1007/978-3-642-46955-8_122
https://link.springer.com/chapter/10.1007/978-3-642-46955-8_122
https://www.sciencedirect.com/science/article/pii/S0022247X84714491