Degree of Approximation of Function $f\in H_p^{(w)}$ Class in Generalized Hölder Metric by Matrix Means

DOI10.1007/978-3-642-28926-2_1zbMath1494.42001OpenAlexW2136636795MaRDI QIDQ5867201

Uaday Singh, Smita Sonker

Publication date: 13 September 2022

Published in: Mathematical Modelling and Scientific Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-28926-2_1

zbMATH Keywords

modulus of continuityFourier seriesHölder metricclass \(H_p^{(w)}\)

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16)

Related Items (4)

Seminormed approximation by deferred matrix means of integrable functions in \(H_P^{(\omega)}\) space ⋮ Approximation by double second type delayed arithmetic mean of periodic functions in \(H_p^{(\omega, \omega)}\) space ⋮ Effectiveness of the even-type delayed mean in approximation of conjugate functions ⋮ Unnamed Item

Cites Work

• Statistical summability and approximation by de la Vallée-Poussin mean
• Approximation of signals of class \(Lip(\alpha , p)\) by linear operators
• A new trigonometric method of summation and its application to the degree of approximation
• Using infinite matrices to approximate functions of class Lip\((\alpha ,p)\) using trigonometric polynomials
• A relaxed estimate of the degree of approximation by Fourier series in generalized Hölder metric
• Trigonometric approximation in \(L_{p}\)-norm
• Trigonometric approximation of functions in \(L _{p}\)-norm
• Unnamed Item

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