Approximation of functions in the generalized Zygmund class using Hausdorff means

DOI10.1186/S13660-017-1361-8zbMath1360.42005OpenAlexW2611410246WikidataQ42038059 ScholiaQ42038059MaRDI QIDQ527799

Mradul Veer Singh, M. L. Mittal, Billy E. Rhoades

Publication date: 12 May 2017

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

Full work available at URL: https://doi.org/10.1186/s13660-017-1361-8

zbMATH Keywords

degree of approximationZygmund classtrigonometric Fourier seriesHausdorff means

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Matrix methods for summability (40C05)

Related Items (13)

On Degree of Approximation of Signals in the Generalized Zygmund Class by Using (E, r)(N,q_n) Mean ⋮ On degree of approximation of Fourier series of functions in Besov space using Nörlund mean ⋮ Degree of approximation of Fourier series of functions in Besov space by deferred Nörlund mean ⋮ Approximation of function using generalized Zygmund class ⋮ 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 ⋮ Approximation of Signals in the Weighted Zygmund Class Via Euler-hausdorff Product Summability Mean of Fourier Series ⋮ Unnamed Item ⋮ On approximation in generalized Zygmund class ⋮ Some characterizations of Hausdorff matrices and their application to Fourier approximation ⋮ On Approximation of Functions in the Generalized Zygmund Class Using $$(E,r)(N,q_n)$$ Mean Associated with Conjugate Fourier Series ⋮ Approximation of functions in generalized Zygmund class by double Hausdorff matrix

Cites Work

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• Properties of some \(q\)-Hausdorff matrices
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• Degree of approximation of a function belonging to weighted $(L_r ,\xi(t ))$ class by (C,1)(E,q) means
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