Trigonometric approximation of signals (functions) belonging to \(W(L^r,\xi(t))\) class by matrix \((C^1 \cdot N_p)\) operator

DOI10.1155/2012/964101zbMath1252.42003OpenAlexW1509196818WikidataQ58705291 ScholiaQ58705291MaRDI QIDQ456601

Smita Sonker, Uaday Singh, M. L. Mittal

Publication date: 16 October 2012

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

Full work available at URL: https://doi.org/10.1155/2012/964101

zbMATH Keywords

degree of approximation

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Harmonic analysis in one variable (42A99)

Related Items (5)

On approximation of function in generalized Zygmund class using C^ηT operator ⋮ Trigonometric approximation of functions belonging to certain Lipschitz classes by C¹⋅ T operator ⋮ Unnamed Item ⋮ On the trigonometric approximation of functions in a weighted Lipschitz class ⋮ Approximation of Periodic Functions Belonging to $$W(L^{r},\xi (t),(\beta \ge 0))$$-Class By $$(C^{1}\cdot T)$$ Means of Fourier Series

Cites Work

• Approximation of signals of class \(Lip(\alpha , p)\) by linear operators
• On the degree of approximation of functions belonging to a Lipschitz class by Hausdorff means of its Fourier series
• Using infinite matrices to approximate functions of class Lip\((\alpha ,p)\) using trigonometric polynomials
• Approximation of functions belonging to the generalized Lipschitz class by \(C^1 \cdot N_p\) summability method of Fourier series
• On the degree of approximation of functions belonging to class Lip \((\alpha, p)\)
• Trigonometric approximation in \(L_{p}\)-norm
• Trigonometric approximation of functions in \(L _{p}\)-norm
• Absolute Nörlund summability

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