Euler-Hausdorff matrix summability operator and trigonometric approximation of the conjugate of a function belonging to the generalized Lipschitz class

DOI10.1186/1029-242X-2013-59zbMath1282.42006OpenAlexW2096362071WikidataQ59294116 ScholiaQ59294116MaRDI QIDQ395795

Shyam Lal, Abhishek Mishra

Publication date: 30 January 2014

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

Full work available at URL: https://doi.org/10.1186/1029-242x-2013-59

zbMATH Keywords

conjugate seriesFourier seriestrigonometric approximation\((E,q)\) means and \(E^{(q)}\cdot \Delta_H\) summability operatorgeneralized Lipschitz classgeneralized Minkowski's inequalityHausdorff matrix summability means (\(\Delta_H\) means)

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Summability and absolute summability of Fourier and trigonometric series (42A24)

Related Items (14)

Degree of approximation of functions belonging to \(Lip(\omega (t),p)\)-class by linear operators based on Fourier series ⋮ 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 ⋮ Approximation of periodic functions in certain sub-classes of Lp[0,2π] ⋮ Unnamed Item ⋮ Approximation of Signals in the Weighted Zygmund Class Via Euler-hausdorff Product Summability Mean of Fourier Series ⋮ On approximation of signals in the generalized Zygmund class via (E, 1) (N̅, pn) summability means of conjugate Fourier series ⋮ On Approximation of Signals in the Weighted Zygmund Class via $$(E,1)(\overline{N},p_{n})$$ Summability Means of Conjugate Fourier Series ⋮ Approximation of functions in the generalized Zygmund class using Hausdorff means ⋮ On approximation in generalized Zygmund class ⋮ Some characterizations of Hausdorff matrices and their application to Fourier approximation ⋮ 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

• Absolute Nörlund summability

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