Asymptotic formulas for convolution operators with spline kernels

DOI10.1006/JATH.1995.1116zbMath0837.41008OpenAlexW1998680073MaRDI QIDQ1904373

Yanyan Li

Publication date: 13 May 1996

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

Full work available at URL: https://doi.org/10.1006/jath.1995.1116

zbMATH Keywords

Bernstein polynomialssingular integralsconvolution operatorstrigonometric momentsde la Valee Poussin-Schoenberg operators

Mathematics Subject Classification ID

Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems (26A24) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Spline approximation (41A15) Approximation by positive operators (41A36)

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Asymptotic approximation by de la Vallée Poussin means and their derivatives ⋮ Central factorial numbers associated with sequences of polynomials

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