Power of Dirichlet kernels and approximation by discrete linear operators $\textit{I}$: direct results

DOI10.33205/CMA.1063594OpenAlexW4281713833WikidataQ114037108 ScholiaQ114037108MaRDI QIDQ5867033

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Publication date: 22 September 2022

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

Full work available at URL: https://doi.org/10.33205/cma.1063594

zbMATH Keywords

rate of convergenceDirichlet kerneldirect resultsdiscrete linear operators

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Rate of convergence, degree of approximation (41A25) Inverse theorems in approximation theory (41A27)

Cites Work

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• Approximation of continuous, periodic functions by discrete linear positive operators
• Chebyshev transform methods in the theory of best algebraic approximation
• The approximation of continuous functions by positive linear operators
• On the exact constant in the Jackson-Stechkin inequality for the uniform metric
• Strong Converse Inequalities and Qantitative Voronovskaya-Type Theorems for Trigonometric Fej\'er Sums

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