Search Results - abstracts approximation theory (approximation in normed linear spaces and other abstracts spaces)

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

Authors: Patrick Buchfink Silke Glas Bernard Haasdonk

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

Subject Terms: 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

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Access URL: 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

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

Authors: Li, Yuwen

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

Subject Terms: 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

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Access URL: http://arxiv.org/abs/2401.13985

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

Authors: A. R. Alimov

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

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

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Access URL: https://zbmath.org/8035920
https://doi.org/10.1007/s41478-024-00859-5

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

Authors: Pitchaimani, M. Saravanan, K.

Source: Afrika Matematika. 35

Subject Terms: 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

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Access URL: https://zbmath.org/7846864
https://doi.org/10.1007/s13370-024-01169-6

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

Authors: Nguyen Xuan Ky

Source: Publicationes Mathematicae Debrecen. 40:85-90

Subject Terms: 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

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Access URL: https://zbmath.org/55014

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

Authors: Pedro Pinto

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

Subject Terms: 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

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Access URL: http://arxiv.org/abs/2306.09791

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

Authors: Vestfrid, Igor A.

Source: Aequationes mathematicae. 98:1647-1655

Subject Terms: 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

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Approximation in normed linear spaces

Authors: G. A. Watson

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

Subject Terms: 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

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Access URL: 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

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

Authors: Siva G Loganathan S

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

Subject Terms: 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

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Access URL: https://doaj.org/article/44140fd193c0426390bb99bc489e3346

Twenty-five years of greedy bases

Authors: Fernando Albiac José L. Ansorena Vladimir Temlyakov et al.

Contributors: Fernando Albiac José L. Ansorena Vladimir Temlyakov et al.

Source: 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)

Subject Terms: 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

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Access URL: 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

Best Interpolatory Approximation in Normed Linear Spaces: Best interpolatory approximation in normed linear spaces

Authors: Sizwe Mabizela Frank Deutsch

Source: Journal of Approximation Theory. 85:250-268

Subject Terms: Best approximation, Chebyshev systems, Mathematics(all), Numerical Analysis, Abstract approximation theory (approximation in normed linear spaces and other abstract spaces), Applied Mathematics, periodic approximation, best approximation with interpolatory constraints, 0101 mathematics, 01 natural sciences, Analysis

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Access URL: https://www.sciencedirect.com/science/article/abs/pii/S0021904596900416
https://core.ac.uk/display/82215605
https://www.sciencedirect.com/science/article/pii/S0021904596900416

Characterization of best approximations in metric linear spaces

Authors: Sizwe Mabizela

Source: Analysis in Theory and Applications. 19:121-129

Subject Terms: Best approximation, Chebyshev systems, Abstract approximation theory (approximation in normed linear spaces and other abstract spaces), Lipschitz dual, Simultaneous approximation, characterization of elements of best approximation, metric linear space, 0101 mathematics, best approximation, \(\varepsilon\)-approximation, 01 natural sciences

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Access URL: https://zbmath.org/1925806
https://zbmath.org/2066030
https://doi.org/10.1007/bf02835236
https://link.springer.com/article/10.1007/BF02835236

Equivalence of a 𝐾-functional with the approximation behavior of some linear means for abstract Fourier series: Equivalence of a \(K\)-functional with the approximation behavior of some linear means for abstract Fourier series

Authors: Walter Trebels

Source: Proceedings of the American Mathematical Society. 127:2883-2887

Subject Terms: Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.), Abstract approximation theory (approximation in normed linear spaces and other abstract spaces), Applications of functional analysis in numerical analysis, saturation, Abstract interpolation of topological vector spaces, linear approximation processes, 0101 mathematics, orthogonal expansions, 01 natural sciences, \(K\)-functional

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Access URL: https://www.ams.org/proc/1999-127-10/S0002-9939-99-05265-X/S0002-9939-99-05265-X.pdf
https://www.ams.org/journals/proc/1999-127-10/S0002-9939-99-05265-X/home.html
https://tubiblio.ulb.tu-darmstadt.de/10879/
https://www.jstor.org/stable/119944
https://documat.unirioja.es/servlet/articulo?codigo=478173
https://www.ams.org/proc/1999-127-10/S0002-9939-99-05265-X/S0002-9939-99-05265-X.pdf
https://dialnet.unirioja.es/servlet/articulo?codigo=478173

A class of generalized best approximation problems in locally convex linear topological spaces

Authors: Hora Krishna Samanta

Source: International Journal of Mathematics and Mathematical Sciences, Vol 20, Iss 3, Pp 487-496 (1997)

Subject Terms: Abstract approximation theory (approximation in normed linear spaces and other abstract spaces), Existence theories for optimal control problems involving ordinary differential equations, Methods involving semicontinuity and convergence, relaxation, Applications of functional analysis in optimization, convex analysis, mathematical programming, economics, QA1-939, Existence of solutions for minimax problems, semi-reflexive, continuous operators, 0101 mathematics, proximal set, best approximation, 01 natural sciences, Mathematics

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Access URL: http://downloads.hindawi.com/journals/ijmms/1997/426529.pdf
https://zbmath.org/1054254
https://doi.org/10.1155/s0161171297000665
https://doaj.org/article/d9bbbe96d3284b9e9f4c64b4652fc41b
http://downloads.hindawi.com/journals/ijmms/1997/426529.pdf
https://eudml.org/doc/47879
https://downloads.hindawi.com/journals/ijmms/1997/426529.pdf
https://www.hindawi.com/journals/ijmms/1997/426529/
https://EconPapers.repec.org/RePEc:hin:jijmms:426529

Approximation of Abstract Differential Equations: Approximation of abstract differential equations

Authors: GUIDETTI, DAVIDE B. Karasoezen S. Piskarev

Source: Journal of Mathematical Sciences. 122:3013-3054

Subject Terms: One-parameter semigroups and linear evolution equations, numerical analysis, Applications of operator theory to differential and integral equations, Nonlinear differential equations in abstract spaces, \(C\)-semigroups, regularized semigroups, 01 natural sciences, Groups and semigroups of linear operators, Applications of operator theory in numerical analysis, Linear differential equations in abstract spaces, Abstract approximation theory (approximation in normed linear spaces and other abstract spaces), Numerical solutions to equations with linear operators, Research exposition (monographs, survey articles) pertaining to numerical analysis, Bibliographies for mathematics in general, abstract differential equations, 0101 mathematics

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Access URL: https://zbmath.org/2182392
https://doi.org/10.1023/b:joth.0000029696.94590.94
https://open.metu.edu.tr/handle/11511/85273
https://link.springer.com/article/10.1023/B:JOTH.0000029696.94590.94
https://hdl.handle.net/11585/14157

CONSTRAINED APPROXIMATION OF A COMPACT SET IN A NORMED SPACE: Constrained approximation of a compact set in a normed space

Authors: Kim-Pin Lim

Source: Tamkang Journal of Mathematics. 21:89-100

Subject Terms: Abstract approximation theory (approximation in normed linear spaces and other abstract spaces), Approximation with constraints, constrained approximation problems, 0101 mathematics, peak functionals, 01 natural sciences

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Access URL: https://journals.math.tku.edu.tw/index.php/TKJM/article/download/4699/1687
https://zbmath.org/5373

Approximation in rough native spaces by shifts of smooth kernels on spheres

Authors: Levesley, Jeremy Sun, X.

Source: Journal of Approximation Theory. 133:269-283

Subject Terms: Mathematics(all), Numerical Analysis, Radial basis function, Applied Mathematics, General harmonic expansions, frames, native space, Series expansions (e.g., Taylor, Lidstone series, but not Fourier series), Reproducing kernels, 01 natural sciences, Approximation by other special function classes, Native space, reproducing kernels, Abstract approximation theory (approximation in normed linear spaces and other abstract spaces), harmonic polynomials, Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces), 0101 mathematics, Spherical harmonics, radial basis function, Interpolation in approximation theory, Analysis

File Description: application/xml; Metadata

Access URL: https://zbmath.org/2160168
https://doi.org/10.1016/j.jat.2004.12.005
http://www.math.le.ac.uk/PEOPLE/jl1/rough.pdf
https://www.sciencedirect.com/science/article/abs/pii/S0021904504002126
https://www.sciencedirect.com/science/article/pii/S0021904504002126
https://dblp.uni-trier.de/db/journals/jat/jat133.html#LevesleyS05
https://dialnet.unirioja.es/servlet/articulo?codigo=1361829

Greedy-Type Approximation in Banach Spaces and Applications: Greedy-type approximation in Banach spaces and applications

Authors: Vladimir Temlyakov

Source: Constructive Approximation. 21:257-292

Subject Terms: Abstract approximation theory (approximation in normed linear spaces and other abstract spaces), Geometry and structure of normed linear spaces, greedy algorithms, Trigonometric approximation, uniformly smooth Banach spaces, discrepancy, trigonometric approximation, greedy approximation, 0101 mathematics, 01 natural sciences

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Access URL: https://zbmath.org/2157508
https://doi.org/10.1007/s00365-004-0565-6
https://link.springer.com/article/10.1007/s00365-004-0565-6
https://rd.springer.com/content/pdf/10.1007%2Fs00365-004-0565-6.pdf
https://link.springer.com/content/pdf/10.1007%2Fs00365-004-0565-6.pdf

Quantum approximation I. Embeddings of finite-dimensional Lp spaces: Quantum approximation. I: Embeddings of finite-dimensional \(L_{p}\) spaces

Authors: Stefan Heinrich

Source: Journal of Complexity. 20:5-26

Subject Terms: Statistics and Probability, Numerical Analysis, Quantum Physics, Algebra and Number Theory, Control and Optimization, Applied Mathematics, FOS: Physical sciences, Models of computation (Turing machines, etc.), 01 natural sciences, Abstract approximation theory (approximation in normed linear spaces and other abstract spaces), Quantum computation, 0101 mathematics, Sobolev spaces and other spaces of ''smooth' functions, embedding theorems, trace theorems, Quantum Physics (quant-ph)

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Access URL: http://arxiv.org/abs/quant-ph/0305030
https://core.ac.uk/display/82687971
https://ui.adsabs.harvard.edu/abs/2003quant.ph..5030H/abstract
https://www.arxiv-vanity.com/papers/quant-ph/0305030/
https://doi.org/10.1016/j.jco.2003.08.002
https://dblp.uni-trier.de/db/journals/jc/jc20.html#Heinrich04
https://www.sciencedirect.com/science/article/pii/S0885064X03000839

C1-fine approximation of functions on Banach spaces with unconditional basis: \(C^1\)-fine approximation of functions on Banach spaces with unconditional basis

Authors: Javier Gómez Gil Robb Fry Daniel Azagra et al.

Contributors: Javier Gómez Gil Robb Fry Daniel Azagra et al.

Source: Docta Complutense
instname
E-Prints Complutense. Archivo Institucional de la UCM
E-Prints Complutense: Archivo Institucional de la UCM
Universidad Complutense de Madrid

Subject Terms: Abstract approximation theory (approximation in normed linear spaces and other abstract spaces), Geometry and structure of normed linear spaces, Isomorphic theory (including renorming) of Banach spaces, Smooth bumps, fine approximation, 0101 mathematics, Fine approximation, 01 natural sciences, smooth bumps, 517.98, Análisis funcional y teoría de operadores

File Description: application/pdf; application/xml

Access URL: http://www.mat.ucm.es/~dazagrar/articulos/quarterly.pdf
https://hdl.handle.net/20.500.14352/49596
https://eprints.ucm.es/id/eprint/12356/1/2005c1fine.pdf
https://documat.unirioja.es/servlet/articulo?codigo=2828518
http://www.mat.ucm.es/~dazagrar/articulos/quarterly.pdf
https://dialnet.unirioja.es/servlet/articulo?codigo=2828518
https://core.ac.uk/display/19715045
https://academic.oup.com/qjmath/article/56/1/13/1540792
https://eprints.ucm.es/12356/1/2005c1fine.pdf