A new and sharper bound for Legendre expansion of differentiable functions

DOI10.1016/j.aml.2018.05.022zbMath1401.41008arXiv1803.00336OpenAlexW2964278956MaRDI QIDQ1992218

Haiyong Wang

Publication date: 2 November 2018

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.00336

zbMATH Keywords

differentiable functionssharp boundLegendre coefficient

Mathematics Subject Classification ID

Approximation by polynomials (41A10)

Related Items (13)

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Uses Software

• DLMF

Cites Work

• On the Optimal Estimates and Comparison of Gegenbauer Expansion Coefficients
• Sharp Error Bounds for Jacobi Expansions and Gegenbauer--Gauss Quadrature of Analytic Functions
• On Error Bounds for Orthogonal Polynomial Expansions and Gauss-Type Quadrature
• Alternative Proof of a Sharpened Form of Bernstein's Inequality for Legendre Polynomials
• On the convergence rates of Legendre approximation
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