On approximation of signals belonging to some classes by \((N,p_m,q_m)(E,\theta)(E,\theta)\) means of conjugate series of its Fourier series

DOI10.1007/S41478-022-00455-5OpenAlexW4285392236WikidataQ114217518 ScholiaQ114217518MaRDI QIDQ2692654

Smita Sonker, Rozy Jindal

Publication date: 22 March 2023

Published in: The Journal of Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s41478-022-00455-5

zbMATH Keywords

Fourier seriesconjugate Fourier seriesEuler summabilitygeneralized Lipschitz \(lip(\xi (t), r)\)

Mathematics Subject Classification ID

Cesàro, Euler, Nörlund and Hausdorff methods (40G05) Rate of convergence, degree of approximation (41A25) Fourier series and coefficients in several variables (42B05) Summability in several variables (42B08)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the trigonometric approximation of signals belonging to generalized weighted Lipschitz \(W(L^r,\xi(t))(r\geqslant 1)\)-class by matrix \((C^1\cdot N_p)\) operator of conjugate series of its Fourier series
• Approximation of functions belonging to \({\mathrm {Lip}}(\xi,(t),r)\) class by \((N,p_n)(E,q)\) summability of conjugate series of Fourier series
• On the Noerlund summability of conjugate Fourier series
• Generalized matrix summability of a conjugate derived Fourier series
• Generalized Nörlund summability of Fourier series and its conjugate series
• Absolute Nörlund summability
• Trigonometric approximation of periodic Signals belonging to generalized weighted Lipschitz W'(L_r,ξ(t)),(r≥1) -- class by Nörlund-Euler (N,p_n) (E,q) operator of conjugate series of its Fourier series
• On Products of Sequences
• Approximation of functions of Lipschitz class by (N,p_n)(E,1) summability means of conjugate series of Fourier series
• On Approximation of Functions Belonging to some Classes of Functions by $(N,p_n,q_n)(E,theta )$ Means of Conjugate Series of Its Fourier Series
• On a sequence of Fourier coefficients
• On the Nörlund summability of Fourier series

This page was built for publication: On approximation of signals belonging to some classes by \((N,p_m,q_m)(E,\theta)(E,\theta)\) means of conjugate series of its Fourier series