Suchergebnisse - "Abstract approximation theory (approximation in normed linear spaces and other abstract spaces)"

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

Autoren: Li, Yuwen

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

Schlagwörter: 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

Dateibeschreibung: application/xml

Zugangs-URL: http://arxiv.org/abs/2401.13985

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

Autoren: A. R. Alimov

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

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

Dateibeschreibung: application/xml

Zugangs-URL: 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

Autoren: Patrick Buchfink Silke Glas Bernard Haasdonk

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

Schlagwörter: 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

Dateibeschreibung: application/xml

Zugangs-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

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

Autoren: Pedro Pinto

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

Schlagwörter: 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

Dateibeschreibung: application/xml

Zugangs-URL: http://arxiv.org/abs/2306.09791

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

Autoren: Vestfrid, Igor A.

Quelle: Aequationes mathematicae. 98:1647-1655

Schlagwörter: 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

Dateibeschreibung: application/xml

Twenty-five years of greedy bases

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

Weitere Verfasser: Fernando Albiac José L. Ansorena Vladimir Temlyakov et al.

Quelle: 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)

Schlagwörter: 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

Dateibeschreibung: application/pdf; application/xml

Zugangs-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

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

Autoren: Nguyen Xuan Ky

Quelle: Publicationes Mathematicae Debrecen. 40:85-90

Schlagwörter: 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

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/55014

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

Autoren: Pitchaimani, M. Saravanan, K.

Quelle: Afrika Matematika. 35

Schlagwörter: 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

Dateibeschreibung: application/xml

Zugangs-URL: 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

Autoren: Siva G Loganathan S

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

Schlagwörter: 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

Dateibeschreibung: application/xml

Zugangs-URL: 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

Autoren: O. L. Vinogradov

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

Schlagwörter: 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

Dateibeschreibung: application/xml

Zugangs-URL: 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

Autoren: Lakshmi Kanta Dey Saranan Mondal

Quelle: Afrika Matematika. 28:85-97

Schlagwörter: 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

Dateibeschreibung: application/xml

Zugangs-URL: 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

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

Schlagwörter: 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

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/1641380
http://dspace.nbuv.gov.ua/handle/123456789/169280

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

Autoren: Kashimoto, Marcia S.

Quelle: 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

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

Dateibeschreibung: application/pdf

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

Verfügbarkeit: 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

Autoren: S. A. M. Mohsenialhosseini Morteza Saheli

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

Schlagwörter: $alpha$-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

Dateibeschreibung: application/xml

Zugangs-URL: 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.

Autoren: Irwin W. Sandberg

Quelle: Lecture Notes in Computer Science ISBN: 9783540424864

Schlagwörter: 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

Dateibeschreibung: application/xml

Zugangs-URL: 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

Autoren: G. A. Watson

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

Schlagwörter: 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

Dateibeschreibung: application/xml

Zugangs-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

On adaptive estimators in statistical learning theory

Autoren: E. D. Livshits S. V. Konyagin

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

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

Dateibeschreibung: application/xml

Zugangs-URL: 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

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

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

Schlagwörter: 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

Dateibeschreibung: application/xml

Zugangs-URL: 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

Autoren: Al-Sharif, Sh. Awad, A.

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

Schlagwörter: 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

Dateibeschreibung: application/xml; application/pdf

Zugangs-URL: 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

Autoren: Yves Sonntag Constantin Zălinescu

Quelle: Operations Research ’93 ISBN: 9783790807943

Schlagwörter: 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

Dateibeschreibung: application/xml

Zugangs-URL: 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