On Degree of Approximation of Signals in the Generalized Zygmund Class by Using (E, r)(N,q_n) Mean

DOI10.46793/KGJMAT2301.131MMaRDI QIDQ5881415

Lakshmi Narayan Mishra, Anwesha Mishra, B. P. Padhy, Umakanta Misra

Publication date: 10 March 2023

Published in: Kragujevac Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

degree of approximationtrigonometric Fourier seriesgeneralized Zygmund class\((E, r)(N, q_n)\)-summability mean\((E, r)\)-summability mean\((N, q_n)\)-summability mean

Mathematics Subject Classification ID

Rate of convergence, degree of approximation (41A25) Fourier series and coefficients in several variables (42B05) Summability in several variables (42B08)

Cites Work

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• Approximation of functions belonging to \({\mathrm {Lip}}(\xi,(t),r)\) class by \((N,p_n)(E,q)\) summability of conjugate series of Fourier series
• Approximation of functions in the generalized Zygmund class using Hausdorff means
• \(L_r\)-approximation of signals (functions) belonging to weighted \(W(L_r,\xi(t))\)-class by \(C^1\cdot N_p\) summability method of conjugate series of its Fourier series
• On approximation in generalized Zygmund class
• Product \((N,p_n)(C,1)\) summability of a sequence of Fourier coefficients

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