An extremal property of Jacobi polynomials in two-sided Chernoff-type inequalities for higher order derivatives

DOI10.1090/S0002-9939-08-09218-6zbMath1145.33003MaRDI QIDQ5448922

Vladimir D. Stepanov

Publication date: 10 March 2008

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Jacobi polynomialsChernoff inequality

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) 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) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (2)

Multivariate inequalities of Chernoff type for classical orthogonal polynomials ⋮ Inequalities of Chernoff type for finite and infinite sequences of classical orthogonal polynomials

Cites Work

• Unnamed Item
• A note on an inequality involving the normal distribution
• On extensions of the Brunn-Minkowski and Prekopa-Leindler theorems, including inequalities for log concave functions, and with an application to the diffusion equation
• Optimal lower and upper bounds for the \(\mathbb{L}_p\)-mean deviation of functions of a random variable

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