Approximations, widths and optimal quadrature formulae for classes of periodic functions with rearrangements invariant sets of derivatives
type: Item
instance of: scholarly article
title: Approximations, widths and optimal quadrature formulae for classes of periodic functions with rearrangements invariant sets of derivatives
zbMATH Open document ID: 0652.41008
DOI: 10.1007/BF01909434
published in: Analysis Mathematica
publication date: 1987-01-01T00:00:00Z
review text: The author has treated in detail some problems of approximations in the context of optimization. The paper is an elaboration of certain results announced earlier in 1983. Main contributions are summarised in the first section through three interesting theorems. Auxiliary conclusions are given then following by proofs of theorems. Optimal quadrature formulae are constructed which help in completing the necessary arguments. This rather long paper shows several valuable aspects of extremal problems in the modern approximation theory.
Mathematics Subject Classification ID: 41A55
Mathematics Subject Classification ID: 41A46
Mathematics Subject Classification ID: 42A75
zbMATH DE Number: 4063739
zbMATH Keywords: Optimal quadrature formulae
zbMATH Keywords: extremal problems
author: V. F. Babenko
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4063739