Sobolev spaces of fractional order, Lipschitz spaces, readapted modulation spaces and their interrelations; applications

DOI10.1016/J.JAT.2016.08.001zbMath1359.41002arXiv1605.02777OpenAlexW2964222166MaRDI QIDQ332227

Gerhard Schmeisser, Rudolf L. Stens, Paul L. Butzer

Publication date: 27 October 2016

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.02777

zbMATH Keywords

modulation spacesLipschitz spacesBernstein's inequalityderivative-free error estimatesformulae with remaindersnon-bandlimited functionsParseval decomposition formulareproducing kernel formulaRiesz derivatives of fractional ordersampling formulaeSobolev spaces of fractional order

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Lipschitz (Hölder) classes (26A16) Fractional derivatives and integrals (26A33) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Banach spaces of continuous, differentiable or analytic functions (46E15) Remainders in approximation formulas (41A80) Sampling theory in information and communication theory (94A20)

Related Items (2)

Some applications of modular convergence in vector lattice setting ⋮ The distance between the general Poisson summation formula and that for bandlimited functions; applications to quadrature formulae

Cites Work

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