Approximation Properties of Vallée Poussin Means for Special Series of Ultraspherical Jacobi Polynomials

DOI10.1007/978-3-030-49763-7_10zbMath1484.33015OpenAlexW3119556569MaRDI QIDQ5013600

M. G. Magomed-Kasumov

Publication date: 2 December 2021

Published in: Trends in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-49763-7_10

zbMATH Keywords

Jacobi polynomialsapproximation propertiesVallée Poussin meansspecial (sticking) series of ultraspherical polynomials

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Rate of convergence, degree of approximation (41A25)

Cites Work

• Limit ultraspherical series and their approximation properties
• Approximation properties of the Vallée-Poussin means of partial sums of a mixed series of Legendre polynomials
• Some special series in ultraspherical polynomials and their approximation properties
• Approximation properties of Fejér- and de la Valleé-Poussin-type means for partial sums of a special series in the system $ \{\sin x\sin kx\}_{k=1}^\infty$
• Unnamed Item

This page was built for publication: Approximation Properties of Vallée Poussin Means for Special Series of Ultraspherical Jacobi Polynomials