Polynomial Approximation on $$C^2$$-Domains: Polynomial approximation on \(C^2\)-domains

Συγγραφείς: Dai, Feng, Prymak, Andriy

Πηγή: Constructive Approximation. 60:463-514

Θεματικοί όροι: Multidimensional problems, \(C^2\)-domains, Numerical Analysis (math.NA), Numerical quadrature and cubature formulas, 01 natural sciences, Approximate quadratures, Approximation by polynomials, Inverse theorems in approximation theory, modulus of smoothness, Mathematics - Classical Analysis and ODEs, polynomial approximation, Classical Analysis and ODEs (math.CA), FOS: Mathematics, 41A10, 41A17, 41A27, 41A63, 41A55, 65D32, Jackson inequality, Mathematics - Numerical Analysis, 0101 mathematics, inverse theorem, Inequalities in approximation (Bernstein, Jackson, Nikol'skiĭ-type inequalities), 41A10, 41A17, 41A27, 41A63 (Primary), 41A55, 65D32 (Secondary)

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: http://arxiv.org/abs/1910.11719
http://arxiv.org/abs/2206.01544
https://zbmath.org/7954206
https://doi.org/10.1007/s00365-023-09669-7

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

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

Pointwise Approximation Theorems for Combinations and Derivatives of Bernstein Polynomials: Pointwise approximation theorems for combinations and derivatives of Bernstein polynomials

Συγγραφείς: Lin Sen Xie

Πηγή: Acta Mathematica Sinica, English Series. 21:1241-1248

Θεματικοί όροι: Approximation by polynomials, Inverse theorems in approximation theory, Approximation by positive operators, 0101 mathematics, 01 natural sciences

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://link.springer.com/article/10.1007%2Fs10114-004-0425-0

A strong converse inequality for left gamma quasi-interpolants in L p-spaces: A strong converse inequality for left gamma quasi-interpolants in \(L_p\) spaces

Συγγραφείς: Qiulan Qi, Shunsheng Guo, Lixia Liu, Gengsheng Zhang

Πηγή: Acta Mathematica Hungarica. 105:17-26

Θεματικοί όροι: Inverse theorems in approximation theory, strong converse inequality, left gamma quasi-interpolants, 0101 mathematics, 01 natural sciences, Saturation in approximation theory

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://link.springer.com/article/10.1023/B%3AAMHU.0000045529.41954.da

Asymptotic analysis via Mellin transforms for small deviations in L2-norm of integrated Brownian sheets: Asymptotic analysis via Mellin transforms for small deviations in \(L^2\)-norm of integrated Brownian sheets

Συγγραφείς: James Allen Fill, Fred Torcaso

Πηγή: Probability Theory and Related Fields. 130:259-288

Θεματικοί όροι: Asymptotic approximations, asymptotic expansions (steepest descent, etc.), reversion, 60G15, 41A60 (primary), 60E10, 44A15, 41A27 (secondary), Probability (math.PR), Gaussian processes, integrated Brownian sheet, 01 natural sciences, small deviations, Characteristic functions, other transforms, Inverse theorems in approximation theory, asymptotics, FOS: Mathematics, Special integral transforms (Legendre, Hilbert, etc.), 0101 mathematics, harmonic sum, Mellin transform, generalized Dirichlet series, Mathematics - Probability

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Σύνδεσμος πρόσβασης: http://arxiv.org/pdf/math/0309391
http://arxiv.org/abs/math/0309391
https://zbmath.org/2113873
https://doi.org/10.1007/s00440-004-0363-x
https://link.springer.com/article/10.1007/s00440-004-0363-x
https://www.ams.jhu.edu/~fill/papers/smalldevs.pdf

Weighted approximation of functions with endpoint or inner singularities by Bernstein operators

Συγγραφείς: DELLA VECCHIA, Biancamaria, G. MASTROIANNI, J. SZABADOS

Συνεισφορές: B., DELLA VECCHIA, Mastroianni, Giuseppe Maria, J., Szabados

Πηγή: Acta Mathematica Hungarica. 103:19-41

Θεματικοί όροι: Bernstein operator, Inverse theorems in approximation theory, weights with endpoint or inner zeros in \([0,1]\), weighted modulus of smoothness and \(K\)-functional, 0101 mathematics, 01 natural sciences

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://link.springer.com/article/10.1023/B%3AAMHU.0000028234.44474.fe
https://link.springer.com/content/pdf/10.1023/B:AMHU.0000028234.44474.fe.pdf
https://iris.unibas.it/handle/11563/1214
http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=000223016300002&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=0c7ff228ccbaaa74236f48834a34396a
https://hdl.handle.net/11573/17426
https://doi.org/10.1023/B:AMHU.0000028234.44474.fe

L p approximation by general Bernstein-Durrmeyer operator defined on simplex: \(L^p\) approximation by general Bernstein-Durrmeyer operator defined on simplex

Συγγραφείς: Cao Feilong

Πηγή: Analysis in Theory and Applications. 20:35-51

Θεματικοί όροι: Inverse theorems in approximation theory, Approximation by positive operators, Multidimensional problems, Bernstein-Durrmeyer operators, Rate of convergence, degree of approximation, degree of approximation, direct theorem, 0101 mathematics, inverse theorem, 01 natural sciences, moduli of smoothness, multidimensional \(L^p\) approximation

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://link.springer.com/article/10.1007%2FBF02835257

Uniformly Perfect Subsets of the Real Line and John Domains: Uniformly perfect subsets of the real line and John domains

Συγγραφείς: Vladimir V. Andrievskii

Πηγή: Computational Methods and Function Theory. 3:385-396

Θεματικοί όροι: uniformly perfect set, John domain, Capacity and harmonic measure in the complex plane, Green's function, 01 natural sciences, Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.), Approximation by polynomials, conformal invariant, Inverse theorems in approximation theory, \(c\)-dense set, Conformal mappings of special domains, starlike domain, 0101 mathematics, logarithmic capacity

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Σύνδεσμος πρόσβασης: https://link.springer.com/content/pdf/10.1007%2FBF03321044.pdf
https://link.springer.com/article/10.1007/BF03321044

Parameter Estimation of the Hodgkin--Huxley Gating Model: An Inversion Procedure: Parameter estimation of the Hodgkin--Huxley gating model: An inversion procedure

Συγγραφείς: Guan Jun Wang, Jacques Beaumont

Πηγή: SIAM Journal on Applied Mathematics. 64:1249-1267

Θεματικοί όροι: 0301 basic medicine, 0303 health sciences, 03 medical and health sciences, Inverse theorems in approximation theory, Physiology (general), Biological applications of optics and electromagnetic theory, membrane current kinetics, Biophysics, inverse problem, nonlinear parameter estimation, Hodgkin-Huxley model

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On summability of weighted Lagrange interpolation. I

Συγγραφείς: L. Szili, Péter Vértesi

Πηγή: Acta Mathematica Hungarica. 101:323-344

Θεματικοί όροι: Banach space, weighted approximation, 4. Education, Approximation by operators (in particular, by integral operators), summations, Lagrange interpolation, General theorems on summability, uniform convergence, 01 natural sciences, weighted interpolation, Approximation by polynomials, summation methods, Inverse theorems in approximation theory, Matrix methods for summability, Freud-type weights, Cesàro, Euler, Nörlund and Hausdorff methods, 0101 mathematics, Orthogonal polynomials (combinatorics), orthogonal polynomials, Interpolation in approximation theory

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Σύνδεσμος πρόσβασης: https://zbmath.org/2099929
https://doi.org/10.1023/b:amhu.0000004943.68968.d2
https://link.springer.com/article/10.1023/B%3AAMHU.0000028233.68543.40

Pointwise weighted approximation by Bernstein operators

Συγγραφείς: Hongzhi Tong, Shunsheng Guo, Gengsheng Zhang

Πηγή: Acta Mathematica Hungarica. 101:293-311

Θεματικοί όροι: Inverse theorems in approximation theory, weighted approximation, weighted modulus of smoothness, Bernstein operators, 0101 mathematics, 01 natural sciences, Saturation in approximation theory

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Σύνδεσμος πρόσβασης: https://zbmath.org/2108670
https://doi.org/10.1023/b:amhu.0000004941.98294.8b
https://link.springer.com/article/10.1023/B:AMHU.0000004941.98294.8b

Some equivalence theorems with K-functionals: Some equivalence theorems with \(K\)-functionals

Συγγραφείς: Feng Dai

Πηγή: Journal of Approximation Theory. 121:143-157

Θεματικοί όροι: Mathematics(all), Numerical Analysis, Applied Mathematics, Rate of convergence, degree of approximation, Generalized Riesz means, Cesàro means, 01 natural sciences, K-functionals, Inverse theorems in approximation theory, Cesàro, Euler, Nörlund and Hausdorff methods, Strong converse inequality, Riesz means, 0101 mathematics, K-functional, Analysis

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Adaptive Interpolation by Scaled Multiquadrics: Adaptive interpolation by scaled multiquadrics

Συγγραφείς: Bozzini, M., Lenarduzzi, L., Schaback, Robert

Συνεισφορές: Bozzini, M., Lenarduzzi, L., Schaback, Robert

Πηγή: Advances in computational mathematics 16 (2002): 375–387.
info:cnr-pdr/source/autori:Bozzini M., Lenarduzzi L., Schaback R./titolo:Adaptive interpolation by scaled multiquadrics/doi:/rivista:Advances in computational mathematics/anno:2002/pagina_da:375/pagina_a:387/intervallo_pagine:375–387/volume:16

Θεματικοί όροι: Spline approximation, shape parameters, Conditionally positive definite radial basis functions, Shape parameters, Scaling, Solvability, Inverse theorems in approximation theory, conditionally positive definite radial basis functions, scaling, Numerical smoothing, curve fitting, Inequalities in approximation (Bernstein, Jackson, Nikol'skiĭ-type inequalities), Interpolation in approximation theory, Approximation by other special function classes, solvability, Saturation in approximation theory

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Σύνδεσμος πρόσβασης: http://www.cnr.it/prodotto/i/30905
https://publications.cnr.it/doc/30905
https://link.springer.com/10.1023/A:1014584220418
https://dblp.uni-trier.de/db/journals/adcm/adcm16.html#BozziniLS02
https://boa.unimib.it/handle/10281/20056
https://link.springer.com/article/10.1023%2FA%3A1014584220418
https://hdl.handle.net/10281/20056
https://doi.org/10.1023/A:1014584220418
https://resolver.sub.uni-goettingen.de/purl?gro-2/43749

Approximation by quadrilateral finite elements

Συγγραφείς: ARNOLD D. N., FALK R. S., BOFFI, DANIELE

Συνεισφορές: Arnold, D. N., Boffi, Daniele, Falk, R. S.

Πηγή: Mathematics of computation 71 (2002): 909–922.
info:cnr-pdr/source/autori:Arnold D.N., Boffi D., Falk R.S./titolo:Approximation by quadrilateral finite elements./doi:/rivista:Mathematics of computation/anno:2002/pagina_da:909/pagina_a:922/intervallo_pagine:909–922/volume:71

Θεματικοί όροι: convergence, 65N30 (Primary) 41A10, 41A25, 41A27, 41A63 (Secondary), Multidimensional problems, Rate of convergence, degree of approximation, Numerical Analysis (math.NA), Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, 01 natural sciences, Numerical computation using splines, Approximation by polynomials, Finite element, Inverse theorems in approximation theory, serendipity finite elements, FOS: Mathematics, Quadrilateral, mixed finite element, Mathematics - Numerical Analysis, 0101 mathematics, Approximation, quadrilateral finite element

Περιγραφή αρχείου: application/xml; STAMPA

Σύνδεσμος πρόσβασης: https://www.ams.org/mcom/2002-71-239/S0025-5718-02-01439-4/S0025-5718-02-01439-4.pdf
http://arxiv.org/abs/math/0005036
http://www.cnr.it/prodotto/i/30913
https://publications.cnr.it/doc/30913
https://128.84.21.199/abs/math/0005036
https://arxiv.org/abs/math/0005036
https://arxiv.org/pdf/math/0005036.pdf
https://experts.umn.edu/en/publications/approximation-by-quadrilateral-finite-elements
https://doi.org/10.1090/S0025-5718-02-01439-4
http://ima.umn.edu/~arnold/talks/quadrilateral.pdf
https://dblp.uni-trier.de/db/journals/moc/moc71.html#ArnoldBF02
https://www.ams.org/journals/mcom/2002-71-239/S0025-5718-02-01439-4/home.html
http://ui.adsabs.harvard.edu/abs/2002MaCom..71..909A/abstract

Inverse and saturation theorems for radial basis function interpolation

Συγγραφείς: Schaback, Robert, Wendland, Holger

Συνεισφορές: Schaback, Robert, Wendland, Holger

Πηγή: Mathematics of Computation. 71:669-682

Θεματικοί όροι: Inverse theorems in approximation theory, 4. Education, positive definite functions, approximation orders, 0101 mathematics, Inequalities in approximation (Bernstein, Jackson, Nikol'skiĭ-type inequalities), 01 natural sciences, Interpolation in approximation theory, Approximation by other special function classes, interpolation, Saturation in approximation theory

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://www.ams.org/mcom/2002-71-238/S0025-5718-01-01383-7/S0025-5718-01-01383-7.pdf
https://zbmath.org/1720966
https://doi.org/10.1090/s0025-5718-01-01383-7
https://resolver.sub.uni-goettingen.de/purl?gro-2/44614

steckin marchard type inequalities for some durrmeyer operators: Steckin-Marchard-type inequalities for some Durrmeyer operators

Συγγραφείς: Li Cuixiang, Qi Qiulan, Guo Shun-sheng

Πηγή: Approximation Theory and Its Applications. 17(2):28-31

Θεματικοί όροι: inverse results, Steckin-Marchaud-type inequalities, Inverse theorems in approximation theory, modulus of smoothness, Approximation by positive operators, Durrmeyer operators, Inequalities in approximation (Bernstein, Jackson, Nikol'skiĭ-type inequalities)

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://link.springer.com/article/10.1023/A:1015545627728
https://dialnet.unirioja.es/servlet/articulo?codigo=736420

Uniform convergence of Padé diagonal approximants for hyperelliptic functions

Συγγραφείς: Sergey Pavlovich Suetin

Πηγή: Sbornik: Mathematics. 191:1339-1373

Θεματικοί όροι: Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization), Nuttall approach, Inverse theorems in approximation theory, hyperelliptic functions, Rate of convergence, degree of approximation, Riemann boundary-value problem, Padé diagonal approximants, 0101 mathematics, Approximation in the complex plane, Padé approximation, uniform convergence, Baker-Gammel-Willes conjecture, 01 natural sciences

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/1592300
https://doi.org/10.1070/sm2000v191n09abeh000508
http://ui.adsabs.harvard.edu/abs/2000SbMat.191.1339S/abstract

On Multivariate Adaptive Approximation: On multivariate adaptive approximation

Συγγραφείς: Xiang Ming Yu, Y. K. Hu, Kirill A. Kopotun

Πηγή: Constructive Approximation. 16:449-474

Θεματικοί όροι: Spline approximation, Inverse theorems in approximation theory, Approximation by arbitrary nonlinear expressions, widths and entropy, Multidimensional problems, Rate of convergence, degree of approximation, 0101 mathematics, Inequalities in approximation (Bernstein, Jackson, Nikol'skiĭ-type inequalities), 01 natural sciences

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://home.cc.umanitoba.ca/~kopotunk/Publications/hky-ca-adaptive.pdf
https://link.springer.com/article/10.1007/s003659910019
https://link.springer.com/content/pdf/10.1007%2Fs003659910019.pdf

Pointwise Estimate for Exponential-Type Operators: Pointwise estimate for exponential-type operators

Συγγραφείς: Xiwu Liu, Zhanjie Song, Shunsheng Guo

Πηγή: Southeast Asian Bulletin of Mathematics. 24:463-473

Θεματικοί όροι: Inverse theorems in approximation theory, modulus of smoothness, pointwise estimate, Approximation by positive operators, exponential type operators, 0101 mathematics, 01 natural sciences

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://link.springer.com/article/10.1007/s10012-000-0463-1
https://link.springer.com/10.1007/s10012-000-0463-1

Averages Using Translation Induced by Laguerre and Jacobi Expansions: Averages using translation induced by Laguerre and Jacobi expansions

Συγγραφείς: M Felten, Zeev Ditzian

Πηγή: Constructive Approximation. 16:115-143

Θεματικοί όροι: Inverse theorems in approximation theory, Rate of convergence, degree of approximation, 0101 mathematics, 01 natural sciences

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/1419736
https://doi.org/10.1007/s003659910005
https://link.springer.com/article/10.1007/s003659910005
https://link.springer.com/content/pdf/10.1007%2Fs003659910005.pdf