A note on the degree of approximation by matrix means in the generalized Hölder metric

DOI10.1007/S11253-016-1240-3zbMath1490.42009OpenAlexW2550333711MaRDI QIDQ1729453

Uǧur Deǧer

Publication date: 27 February 2019

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11253-016-1240-3

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Rate of convergence, degree of approximation (41A25) Summability and absolute summability of Fourier and trigonometric series (42A24) Trigonometric series of special types (positive coefficients, monotonic coefficients, etc.) (42A32)

Related Items (6)

Seminormed approximation by deferred matrix means of integrable functions in \(H_P^{(\omega)}\) space ⋮ Degree of convergence of the functions of trigonometric series in Sobolev spaces and its applications ⋮ 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 ⋮ Unnamed Item

Cites Work

• A relaxed estimate of the degree of approximation by Fourier series in generalized Hölder metric
• Extension of the notion of the limit of the sum of terms of an infinite series
• On trigonometric approximation of functions in the \(L^{q}\) norm
• Trigonometric approximation in \(L_{p}\)-norm
• Approximation of continuous functions by \(T\)-means of Fourier series
• Trigonometric approximation of functions in \(L _{p}\)-norm
• Trigonometric approximation in the mean
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