Výsledky vyhledávání - Interpolation in approximation theory

Old and new on the Peetre K-functional and its relations to real interpolation theory, quasi-monotone functions and wavelets

Autoři: Dalmo, Rune Persson, Lars-Erik Samko, Natasha

Zdroj: Analysis and Mathematical Physics. 15(1)

Témata: Functions of real variables, Quasi-monotone function, Indices, K-functional, Real interpolation theory, Wavelets, Engineering mathematics

Popis souboru: electronic

Přístupová URL adresa: https://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-545748
https://doi.org/10.1007/s13324-024-00998-9

Zipper rational fractal interpolation functions

Autoři: R. Pasupathi null Vijay A. K. B. Chand a další

Zdroj: The Journal of Analysis. 32:3197-3226

Témata: Approximation by rational functions, Fractals, convexity, positivity, Numerical interpolation, rational cubic spline, zipper, fractal interpolation function, monotonicity, Interpolation in approximation theory, Real rational functions, Numerical computation using splines

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/7965080
https://doi.org/10.1007/s41478-024-00796-3

The approximation capabilities of Durrmeyer-type neural network operators

Autoři: Lucian Coroianu Danilo Costarelli Mariarosaria Natale a další

Zdroj: Journal of Applied Mathematics and Computing. 70:4581-4599

Témata: Lebesgue spaces, order of approximation, modulus of continuity, quantitative estimates, 0202 electrical engineering, electronic engineering, information engineering, Rate of convergence, degree of approximation, 02 engineering and technology, Durrmeyer-type neural network operators, 0101 mathematics, 01 natural sciences, Interpolation in approximation theory

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/8035074
https://doi.org/10.1007/s12190-024-02146-9

Yu. N. Subbotin’s Method in the Problem of Extremal Interpolation in the Mean in the Space $$L_p(\mathbb R)$$ with Overlapping Averaging Intervals: Yu. N. Subbotin's method in the problem of extremal interpolation in the mean in the space \(L_p(\mathbb{R})\) with overlapping averaging intervals

Autoři: Shevaldin, V. T.

Zdroj: Mathematical Notes. 115:1017-1029

Témata: formally self-adjoint differential operator, minimal norm, extremal interpolation, uniform mesh, spline, Interpolation in approximation theory

Popis souboru: application/xml

Product kernels are efficient and flexible tools for high-dimensional scattered data interpolation

Autoři: Kristof Albrecht Juliane Entzian Armin Iske

Zdroj: Advances in Computational Mathematics. 51

Témata: greedy algorithms, product kernels, kernel-based approximation, FOS: Mathematics, Rate of convergence, degree of approximation, Mathematics - Numerical Analysis, Numerical Analysis (math.NA), Interpolation in approximation theory, Approximation by other special function classes

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2312.09949
https://zbmath.org/8023797
https://doi.org/10.1007/s10444-025-10226-y

The Fekete problem in segmental polynomial interpolation

Autoři: Ludovico Bruni Bruno Wolfgang Erb

Zdroj: BIT Numerical Mathematics. 65

Témata: Numerical interpolation, polynomial approximation of differential forms, FOS: Mathematics, segmental polynomial interpolation, Mathematics - Numerical Analysis, Numerical Analysis (math.NA), optimal design of segments, Interpolation in approximation theory, Fekete problem, 41A05, 41A25, A1A30, 65D05

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2403.09378
https://zbmath.org/7964459
https://doi.org/10.1007/s10543-024-01047-4

On the convergence of generalized kernel-based interpolation by greedy data selection algorithms

Autoři: Kristof Albrecht Armin Iske

Zdroj: BIT Numerical Mathematics. 65

Témata: greedy data selection algorithms, generalized kernel-based interpolation, FOS: Mathematics, Rate of convergence, degree of approximation, Mathematics - Numerical Analysis, Numerical Analysis (math.NA), multivariate scattered data approximation, 0101 mathematics, 01 natural sciences, Interpolation in approximation theory, Approximation by other special function classes

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2407.03840

7. Application to linear interpolation and approximation theory

Zdroj: Modern Umbral Calculus ISBN: 9783110652925

Local Extremal Interpolation on the Semiaxis with the Least Value of the Norm for a Linear Differential Operator: Local extremal interpolation on the semiaxis with the least value of the norm for a linear differential operator

Autoři: Shevaldin, V. T.

Zdroj: Mathematical Notes. 113:446-452

Témata: Spline approximation, generalized finite difference, uniform grid, differential operator, semiaxis, Interpolation in approximation theory, local interpolation

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/7676235
https://doi.org/10.1134/s0001434623030148

Learning PDEs from Data on Closed Surfaces with Sparse Optimization: Learning PDEs from data on closed surfaces with sparse optimization

Autoři: Sun, Zhengjie Ling, Leevan Zhang, Ran

Zdroj: Communications in Computational Physics. 37:289-314

Témata: meshless methods, data-driven modeling, Numerical radial basis function approximation, FOS: Mathematics, FOS: Physical sciences, surface PDE, Mathematics - Numerical Analysis, Numerical Analysis (math.NA), Mathematical Physics (math-ph), sparse optimization, Interpolation in approximation theory, Mathematical Physics

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2405.06199
https://zbmath.org/8033878
https://doi.org/10.4208/cicp.oa-2024-0112

Interpolation and Approximation Theory.

Autoři: Kaijser, Sten

Zdroj: Normat. 1991 39(1):4-14.

Peer Reviewed: Y

Page Count: 11

Descriptors: College Mathematics, Estimation (Mathematics), Mathematical Enrichment, Mathematics Education, Polynomials, Postsecondary Education, Swedish, Trigonometry

Interpolation and Approximation Theory

Autoři: A. C. Faul

Zdroj: A Concise Introduction to Numerical Analysis ISBN: 9781315370217

$L^\infty$-error bounds for approximations of the Koopman operator by kernel extended dynamic mode decomposition: \( L^\infty\)-error bounds for approximations of the Koopman operator by kernel extended dynamic mode decomposition

Autoři: Köhne, Frederik Philipp, Friedrich M. Schaller, Manuel a další

Témata: Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces), Linear composition operators, Numerical radial basis function approximation, Dynamical Systems (math.DS), Numerical Analysis (math.NA), Approximation methods and numerical treatment of dynamical systems, interpolation, kernel EDMD, 37M99, 41A05, 47B32, 47B33, 65D12, FOS: Mathematics, regression, uniform error bounds, Mathematics - Numerical Analysis, Mathematics - Dynamical Systems, Koopman operator, reproducing kernel Hilbert space, Interpolation in approximation theory

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2403.18809

A Meshfree RBF-FD Constant along Normal Method for Solving PDEs on Surfaces: A meshfree RBF-FD constant along normal method for solving PDEs on surfaces

Autoři: Víctor Bayona Argyrios Petras Cécile Piret a další

Přispěvatelé: Víctor Bayona Argyrios Petras Cécile Piret a další

Zdroj: e-Archivo. Repositorio Institucional de la Universidad Carlos III de Madrid
Universidad Carlos III de Madrid (UC3M)

Témata: Finite difference methods for boundary value problems involving PDEs, Matemáticas, Closest point method, Meshfree, Numerical Analysis (math.NA), meshfree, Numerical differentiation, Approximation by polynomials, Spline approximation, High-order methods, Numerical interpolation, Finite difference methods for initial value and initial-boundary value problems involving PDEs, high-order methods, PDEs on surfaces, FOS: Mathematics, RBF-FD, Probabilistic methods, particle methods, etc. for initial value and initial-boundary value problems involving PDEs, Mathematics - Numerical Analysis, Interpolation in approximation theory, Probabilistic methods, particle methods, etc. for boundary value problems involving PDEs, closest point method

Popis souboru: application/pdf; application/xml

Přístupová URL adresa: http://arxiv.org/abs/2412.14761
https://hdl.handle.net/10016/46963

Some extended Hermite--Fejér interpolation processes and their convergence: Some extended Hermite-Fejer interpolation processes and their convergence

Autoři: Kumar, V.

Zdroj: Publicationes Mathematicae Debrecen. 25:285-290

Témata: Approximation by polynomials, Interpolatory Polynomials, 0101 mathematics, 01 natural sciences, Interpolation in approximation theory, Hermite-Fejer Interpolation Processes

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/3611866

On speed of mean convergence of Lagrange and Hermite interpolation based on the roots of Laguerre polynomials

Autoři: Balázs, K. Joó, I.

Zdroj: Publicationes Mathematicae Debrecen. 38:247-253

Témata: Approximation by polynomials, Lagrange interpolation, Laguerre polynomials, Hermite interpolation, 0101 mathematics, 01 natural sciences, Interpolation in approximation theory

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/22000

Extremal functional -interpolation on an arbitrary mesh on the real axis: Extremal functional \(L_p\)-interpolation on an arbitrary mesh on the real axis

Autoři: Subbotin, Yurii N. Shevaldin, Valerii T.

Zdroj: Sbornik: Mathematics. 213:556-577

Témata: Best approximation, Chebyshev systems, Spline approximation, extremal interpolation, derivative, divided difference, difference equation, spline, 0101 mathematics, 01 natural sciences, Interpolation in approximation theory, Numerical computation using splines

Popis souboru: application/xml

Convergence theorems of quasi-Hermite--Fejér interpolation: Convergence theorems of quasi-Hermite-Fejer interpolation

Autoři: Santa, J.

Zdroj: Publicationes Mathematicae Debrecen. 22:23-29

Témata: 0101 mathematics, 01 natural sciences, Interpolation in approximation theory

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/3514367

Convergence of Hermite--Fejér interpolation polynomial on the extended nodes: Convergence of Hermite-Fejer interpolation polynomial on the extended nodes

Autoři: Kumar, V.

Zdroj: Publicationes Mathematicae Debrecen. 24:31-37

Témata: 0101 mathematics, 01 natural sciences, Interpolation in approximation theory

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/3595684

Non-linear Approximation and Interpolation Spaces: Non-linear approximation and interpolation spaces

Autoři: Kyriazis, George C. Kyriazis, George C. [0000-0001-9514-3482]

Přispěvatelé: Kyriazis, George C. Kyriazis, George C. [0000-0001-9514-3482]

Zdroj: Journal of Approximation Theory
J.Approx.Theory

Témata: Mathematics(all), Numerical Analysis, Applied Mathematics, non-linear approximation, Nontrigonometric harmonic analysis involving wavelets and other special systems, Wavelets, wavelets, 01 natural sciences, interpolation of operators, nonlinear approximation, Interpolation of operators, Non-linear approximation, 0101 mathematics, Sobolev spaces and other spaces of ''smooth' functions, embedding theorems, trace theorems, Interpolation in approximation theory, Analysis

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/1722102
https://doi.org/10.1006/jath.2001.3625
https://www.sciencedirect.com/science/article/pii/S0021904501936251
https://dblp.uni-trier.de/db/journals/jat/jat113.html#Kyriazis01
https://doi.org/10.1006/jath.2001.3625
https://core.ac.uk/display/24625376
https://www.sciencedirect.com/science/article/abs/pii/S0021904501936251
http://gnosis.library.ucy.ac.cy/handle/7/57198