On the Bernstein-type inequalities for ultraspherical polynomials

DOI10.1016/S0377-0427(02)00591-5zbMath1017.33006OpenAlexW2022166205MaRDI QIDQ1874161

Andrea Laforgia, Carla Giordano

Publication date: 22 May 2003

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0377-0427(02)00591-5

zbMATH Keywords

Bernstein inequalityLegendre polynomialsgamma-functionultraphserical polynomials

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Gamma, beta and polygamma functions (33B15) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17)

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Cites Work

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• Inequalities for ultraspherical polynomials and the gamma function
• Unified treatment of Gautchi-Kershaw type inequalities for the gamma function
• On Bernstein's inequality for ultraspherical polynomials
• Some Extensions of W. Gautschi's Inequalities for the Gamma Function
• On Gamma Function Inequalities
• A Bernstein-Type Inequality for the Jacobi Polynomial
• Inequalities and monotonicity properties for gamma and q-gamma functions
• On some inequalities for the gamma and psi functions
• Inequalities and monotonicity properties for the gamma function

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