On approximation of function in generalized Zygmund class using C^ηT operator

DOI10.7153/jmi-2020-14-18zbMath1440.42005OpenAlexW3012434105MaRDI QIDQ5109760

Md. Hadish, Hare Krishna Nigam

Publication date: 13 May 2020

Published in: Journal of Mathematical Inequalities (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/jmi-2020-14-18

zbMATH Keywords

Fourier seriesmatrix operatorgeneralized Zygmund class

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Matrix methods for summability (40C05) Cesàro, Euler, Nörlund and Hausdorff methods (40G05) Rate of convergence, degree of approximation (41A25)

Cites Work

• Trigonometric approximation of signals (functions) belonging to \(W(L^r,\xi(t))\) class by matrix \((C^1 \cdot N_p)\) operator
• Approximation by \(q\)-analogue of Jakimovski-Leviatan operators involving \(q\)-Appell polynomials
• Approximation of functions belonging to the generalized Lipschitz class by \(C^1 \cdot N_p\) summability method of Fourier series
• On the degree of approximation of functions belonging to the class Lip alpha
• On the degree of approximation of functions belonging to class Lip \((\alpha, p)\)
• Trigonometric approximation in \(L_{p}\)-norm
• Trigonometric approximation of functions in \(L _{p}\)-norm
• Approximation by Jakimovski-Leviatan operators of Durrmeyer type involving multiple Appell polynomials
• Degree of approximation of a function belonging to weighted $(L_r ,\xi(t ))$ class by (C,1)(E,q) means
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