New asymptotic evaluations for sequences of linear positive operators on \(C_{2\pi}(\mathbb{R})\)

DOI10.1007/S00025-024-02257-6zbMATH Open1547.42005MaRDI QIDQ6609586

Dumitrŭ Popa

Publication date: 24 September 2024

Published in: Results in Mathematics (Search for Journal in Brave)

zbMATH Keywords

singular integralsKorovkin approximation theoremasymptotic evaluationcontinuous \(2\pi\)-periodic functions

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Trigonometric approximation (42A10) Approximation by operators (in particular, by integral operators) (41A35) Approximation by positive operators (41A36) Summability and absolute summability of Fourier and trigonometric series (42A24)

Cites Work

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• Asymptotic approximation by de la Vallée Poussin means and their derivatives
• An asymptotic property of positive methods of summing Fourier series
• Approximation by linear combinations of positive convolution integrals
• An intermediate Korovkin-type asymptotic evaluation
• Central factorial numbers; their main properties and some applications.

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