Approximation of signals (functions) by trigonometric polynomials in \(L_p\)-norm

DOI10.1155/2014/267383zbMath1317.42003OpenAlexW1992849394WikidataQ59044201 ScholiaQ59044201MaRDI QIDQ2260311

M. L. Mittal, Mradul Veer Singh

Publication date: 10 March 2015

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/267383

zbMATH Keywords

\(L^p\)-normtrigonometric approximationsummability matrix

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) Summability and absolute summability of Fourier and trigonometric series (42A24) Trigonometric polynomials, inequalities, extremal problems (42A05)

Related Items (16)

Approximation of signals (functions) of Lip(α, p), (p > 1)-class by trigonometric polynomials ⋮ Approximation of functions in Besov space by deferred Cesàro mean ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ APPLICATIONS OF CESARO SUBMETHOD TO ` APPROXIMATION OF FUNCTIONS IN WEIGHTED ORLICZ SPACES ⋮ Approximation of signals via different summability means with effects of Gibbs phenomenon ⋮ Applications of Cesàro submethod to trigonometric approximation of signals (functions) belonging to class \(\mathrm{lip}(\alpha, p)\) in \(L_p\)-norm ⋮ Approximation of functions in the generalized Zygmund class using Hausdorff means ⋮ Unnamed Item ⋮ Approximation of Functions of Class $$\mathrm {Lip} (\alpha , { p})$$ in $$L_{p}$$-Norm ⋮ Unnamed Item ⋮ On the degree of approximation of continuous functions by a specific transform of partial sums of their Fourier series ⋮ Unnamed Item ⋮ On the trigonometric approximation of functions in weighted Lorentz spaces using Cesáro submethod ⋮ Approximation of Functions in Besov Space

Cites Work

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• Approximation of signals of class \(Lip(\alpha , p)\) by linear operators
• Using infinite matrices to approximate functions of class Lip\((\alpha ,p)\) using trigonometric polynomials
• Trigonometric approximation in \(L_{p}\)-norm
• Trigonometric approximation of functions in \(L _{p}\)-norm
• Trigonometric approximation in the mean
• A NEW TYPE OF CESÀRO MEAN
• EQUIVALENCE RESULTS FOR CESÀRO SUBMETHODS

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