Refinements of the peano kernel theorem

DOI10.1080/01630569908816885zbMath0956.41016OpenAlexW2082397651MaRDI QIDQ4239761

Shayne F. D. Waldron

Publication date: 26 April 1999

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630569908816885

zbMATH Keywords

Peano kernel theorem

Mathematics Subject Classification ID

General theory of numerical analysis in abstract spaces (65J05) Interpolation in approximation theory (41A05) Approximation by polynomials (41A10) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32) Banach spaces of continuous, differentiable or analytic functions (46E15) One-variable calculus (26A06)

Related Items

A note on the remainder in the approximation of functions by some positive linear operators, Peano's kernel theoremfor vector-valued functions:a weak version in normed spaces*, A generalized Peano kernel theorem for distributions of exponential decay, A fractional version of the peano-sard theorem, Increasing the polynomial reproduction of a quasi-interpolation operator

Cites Work

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• Extremal positive splines with applications to interpolation and approximation by generalized convex functions