Approximation by Fourier means and generalized moduli of smoothness

DOI10.1134/S0001434616030305zbMath1350.42004MaRDI QIDQ325671

Konstantin V. Runovski

Publication date: 18 October 2016

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

Fourier transformFourier meansapproximationmodulus of smoothnessBochner-Riesz meanFejér meanRogozinskii meanValée-Poussin mean

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Summability and absolute summability of Fourier and trigonometric series (42A24)

Related Items (2)

Generalized smoothness and approximation of periodic functions in the spaces \(L_p\), \(1 < p < +\infty \) ⋮ Multiplicator type operators and approximation of periodic functions of one variable by trigonometric polynomials

Cites Work

• On Fejér and Bochner-Riesz means
• A direct theorem of approximation theory for a general modulus of smoothness
• Approximation by families of linear trigonometric polynomial operators and smoothness properties of functions
• On Jackson's inequality for a generalized modulus of continuity in $ L_2$
• General Moduli of Smoothness and Approximation by Families of Linear Polynomial Operators
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