Approximation of Signals in the Weighted Zygmund Class Via Euler-hausdorff Product Summability Mean of Fourier Series

DOI10.18311/jims/2020/22506zbMath1463.42006OpenAlexW3044676258MaRDI QIDQ5140036

A. A. Das, Hemen Dutta, T. Pradhan, Susanta Kumar Paikray

Publication date: 13 December 2020

Published in: The Journal of the Indian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.18311/jims/2020/22506

zbMATH Keywords

degree of approximationtrigonometric Fourier seriesHausdorff meanweighted Zygmund classEuler mean

Mathematics Subject Classification ID

Cesàro, Euler, Nörlund and Hausdorff methods (40G05) Convergence and absolute convergence of Fourier and trigonometric series (42A20) Summability in several variables (42B08) Weighted approximation (41A81)

Related Items (5)

Approximation of Fourier-Laguerre expansion based on a new product deferred summability means ⋮ On the degree of approximation of Fourier series based on a certain class of product deferred summability means ⋮ Approximation and simulation of signals via harmonic Banach summable factors of Fourier series ⋮ Unnamed Item ⋮ On Approximation of Functions in the Generalized Zygmund Class Using $$(E,r)(N,q_n)$$ Mean Associated with Conjugate Fourier Series

Cites Work

• Euler-Hausdorff matrix summability operator and trigonometric approximation of the conjugate of a function belonging to the generalized Lipschitz class
• Approximation of functions in the generalized Zygmund class using Hausdorff means
• Statistical deferred weighted \(\mathcal{B}\)-summability and its applications to associated approximation theorems
• Deferred weighted \(\mathcal{A}\)-statistical convergence based upon the \((p, q)\)-Lagrange polynomials and its applications to approximation theorems
• A Tauberian theorem for double Cesàro summability method
• Generalized equi-statistical convergence of the deferred Nörlund summability and its applications to associated approximation theorems
• Current Topics in Summability Theory and Applications
• A certain class of weighted statistical convergence and associated Korovkin‐type approximation theorems involving trigonometric functions
• Approximation of signals belonging to generalized Lipschitz class using -summability mean of Fourier series
• Statistical deferred Cesàro summability and its applications to approximation theorems
• Tauberian theorems for Cesàro summability of nth sequences
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Approximation of Signals in the Weighted Zygmund Class Via Euler-hausdorff Product Summability Mean of Fourier Series