Approximation of Periodic Functions Belonging to $$W(L^{r},\xi (t),(\beta \ge 0))$$-Class By $$(C^{1}\cdot T)$$ Means of Fourier Series
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Publication:2801899
DOI10.1007/978-81-322-2485-3_6zbMath1339.42006OpenAlexW2321651352MaRDI QIDQ2801899
Publication date: 22 April 2016
Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-81-322-2485-3_6
Trigonometric approximation (42A10) Matrix methods for summability (40C05) Rate of convergence, degree of approximation (41A25) Summability and absolute summability of Fourier and trigonometric series (42A24)
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Cites Work
- Trigonometric approximation of signals (functions) belonging to \(W(L^r,\xi(t))\) class by matrix \((C^1 \cdot N_p)\) operator
- On the degree of approximation of functions belonging to a Lipschitz class by Hausdorff means of its Fourier series
- 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 to a function belonging to weighted \((L^p,\psi_1(t))\) class
- On the degree of approximation of functions belonging to the class Lip(alpha,p) by means of a conjugate 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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