Asymptotics of the generalized Gegenbauer functions of fractional degree

DOI10.1016/j.jat.2020.105378zbMath1435.30123arXiv1709.06268OpenAlexW3004730415MaRDI QIDQ2304478

Wen-Jie Liu, Li-Lian Wang

Publication date: 12 March 2020

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.06268

zbMATH Keywords

asymptotic analysisRiemann-Liouville fractional integrals and derivativesgeneralized Gegenbauer functions of fractional degree

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Roundoff error (65G50) Approximation by polynomials (41A10) Rate of convergence, degree of approximation (41A25) Asymptotic representations in the complex plane (30E15)

Related Items (7)

Optimal error estimates for Legendre expansions of singular functions with fractional derivatives of bounded variation ⋮ Pointwise error estimates and local superconvergence of Jacobi expansions ⋮ On a subclass of bi-close-to-convex functions by means of the Gegenbauer polynomial ⋮ Bernstein-type constants for approximation of \(| x |^\alpha\) by partial Fourier-Legendre and Fourier-Chebyshev sums ⋮ Certain subclasses of \(\lambda\)-pseudo bi-univalent functions with respect to symmetric points associated with the Gegenbauer polynomial ⋮ Unnamed Item ⋮ Convergence Rates on Spectral Orthogonal Projection Approximation for Functions of Algebraic and Logarithmatic Regularities

Uses Software

• DLMF

Cites Work

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