Výsledky vyhľadávania - Abstract approximation theory (approximation in normed linear spaces and other abstract spaces)

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

Autori: Patrick Buchfink Silke Glas Bernard Haasdonk

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

Predmety: 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

Popis súboru: application/xml

Prístupová URL adresa: 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

Autori: Li, Yuwen

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

Predmety: 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

Popis súboru: application/xml

Prístupová URL adresa: http://arxiv.org/abs/2401.13985

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

Autori: A. R. Alimov

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

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

Popis súboru: application/xml

Prístupová URL adresa: 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

Autori: Pitchaimani, M. Saravanan, K.

Zdroj: Afrika Matematika. 35

Predmety: 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

Popis súboru: application/xml

Prístupová URL adresa: 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

Autori: Nguyen Xuan Ky

Zdroj: Publicationes Mathematicae Debrecen. 40:85-90

Predmety: 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

Popis súboru: application/xml

Prístupová URL adresa: https://zbmath.org/55014

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

Autori: Pedro Pinto

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

Predmety: 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

Popis súboru: application/xml

Prístupová URL adresa: http://arxiv.org/abs/2306.09791

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

Autori: Vestfrid, Igor A.

Zdroj: Aequationes mathematicae. 98:1647-1655

Predmety: 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

Popis súboru: application/xml

Approximation in normed linear spaces

Autori: G. A. Watson

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

Predmety: 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

Popis súboru: application/xml

Prístupová URL adresa: 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

Autori: Siva G Loganathan S

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

Predmety: 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

Popis súboru: application/xml

Prístupová URL adresa: https://doaj.org/article/44140fd193c0426390bb99bc489e3346

Twenty-five years of greedy bases

Autori: Fernando Albiac José L. Ansorena Vladimir Temlyakov a ďalší

Prispievatelia: Fernando Albiac José L. Ansorena Vladimir Temlyakov a ďalší

Zdroj: 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)

Predmety: 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

Popis súboru: application/pdf; application/xml

Prístupová URL adresa: 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

Autori: Sizwe Mabizela Frank Deutsch

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

Predmety: 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

Popis súboru: application/xml

Prístupová URL adresa: 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

Autori: Sizwe Mabizela

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

Predmety: 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

Popis súboru: application/xml

Prístupová URL adresa: 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

Autori: Walter Trebels

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

Predmety: 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

Popis súboru: application/xml

Prístupová URL adresa: 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

Autori: Hora Krishna Samanta

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

Predmety: 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

Popis súboru: application/xml

Prístupová URL adresa: 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

Autori: GUIDETTI, DAVIDE B. Karasoezen S. Piskarev

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

Predmety: 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

Popis súboru: application/xml

Prístupová URL adresa: 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

Autori: Kim-Pin Lim

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

Predmety: 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

Popis súboru: application/xml

Prístupová URL adresa: 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

Autori: Levesley, Jeremy Sun, X.

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

Predmety: 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

Popis súboru: application/xml; Metadata

Prístupová URL adresa: 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

Autori: Vladimir Temlyakov

Zdroj: Constructive Approximation. 21:257-292

Predmety: 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

Popis súboru: application/xml

Prístupová URL adresa: 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

Autori: Stefan Heinrich

Zdroj: Journal of Complexity. 20:5-26

Predmety: 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)

Popis súboru: application/xml

Prístupová URL adresa: 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

Autori: Javier Gómez Gil Robb Fry Daniel Azagra a ďalší

Prispievatelia: Javier Gómez Gil Robb Fry Daniel Azagra a ďalší

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

Predmety: 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

Popis súboru: application/pdf; application/xml

Prístupová URL adresa: 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