Strong Converse Inequalities and Qantitative Voronovskaya-Type Theorems for Trigonometric Fej\'er Sums

DOI10.33205/cma.653843zbMath1463.42002OpenAlexW3009118887MaRDI QIDQ4971549

Lázaro Flores-de-Jesús, Jorge Bustamante González

Publication date: 12 October 2020

Published in: Constructive Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.33205/cma.653843

zbMATH Keywords

rate of convergenceFejér operatorsdirect and converse resultsiterative combinationsquantitative Voronovskaya-type theorems

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Rate of convergence, degree of approximation (41A25) Convergence and absolute convergence of Fourier and trigonometric series (42A20) Inverse theorems in approximation theory (41A27)

Related Items (6)

Directs estimates and a Voronovskaja-type formula for Mihesan operators ⋮ Approximation properties of \(\lambda\)-Gamma operators based on \(q\)-integers ⋮ Approximation properties of new modified gamma operators ⋮ Quantitative Voronovskaya-Type Theorems for Fejér-Korovkin Operators ⋮ Quantitative theorems for a rich class of novel Miheşan-type approximation operators incorporating the Boas-Buck polynomials ⋮ Power of Dirichlet kernels and approximation by discrete linear operators $\textit{I}$: direct results

Cites Work

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• On the exact constant in the Jackson-Stechkin inequality for the uniform metric
• Classes de saturation de certains procédés d'approximation des séries de Fourier des fonctions continues et applications à quelques problèmes d'approximation
• Classes de saturation des procédés de sommation des séries de Fourier et applications aux séries trigonométriques
• Strong converse inequalities

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