Functional approximation in Besov space using generalized Nörlund-Hausdorff product matrix

DOI10.1186/s13660-019-2128-1zbMath1499.42011OpenAlexW2961783035MaRDI QIDQ2067946

Hare Krishna Nigam, Md. Hadish

Publication date: 19 January 2022

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-019-2128-1

zbMATH Keywords

functionalBesov spaceLipschitz spaceapproximationmodulus of continuitymodulus of smoothnessFourier seriesHausdorff meansgeneralized Nörlund means

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Matrix methods for summability (40C05) Cesàro, Euler, Nörlund and Hausdorff methods (40G05) Approximation by polynomials (41A10) Rate of convergence, degree of approximation (41A25) Fourier series and coefficients in several variables (42B05) Conjugate functions, conjugate series, singular integrals (42A50)

Related Items (2)

Unnamed Item ⋮ Approximation of functions in generalized Zygmund class by double Hausdorff matrix

Cites Work

• Best approximation of functions in generalized Hölder class
• Degree of approximation of functions by their Fourier series in the generalized Hölder metric
• An estimate of the rate of convergence of Fourier series in the generalized Hölder metric by deferred Cesàro mean
• On Approximation of Functions Belonging to Lip(α, r) Class and to Weighted W(L_r,ξ(t)) Class by Product Mean
• On Products of Sequences
• Zur Konvergenz der Fourierreihen hölderstetiger Funktionen
• Trigonometric approximation of functions belonging to certain Lipschitz classes by C¹⋅ T operator
• Unnamed Item
• 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: Functional approximation in Besov space using generalized Nörlund-Hausdorff product matrix