A Turán Inequality Arising in Information Theory

DOI10.1137/0512078zbMath0482.33005OpenAlexW2072464988MaRDI QIDQ3940100

Bruce Reznick, James B. Shearer, Robert J. McEliece

Publication date: 1981

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0512078

zbMATH Keywords

polynomial inequalityTuran inequality

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Gamma, beta and polygamma functions (33B15) Other special functions (33E99) Source coding (94A29)

Related Items (9)

On generalized Bessel-Maitland function ⋮ Functional inequalities for the Mittag-Leffler functions ⋮ Some properties of a hypergeometric function which appear in an approximation problem ⋮ Turán type inequalities for Tricomi confluent hypergeometric functions ⋮ Functional inequalities for the Wright functions ⋮ A note on Turán type and mean inequalities for the Kummer function ⋮ TURÁN TYPE INEQUALITIES FOR MODIFIED BESSEL FUNCTIONS ⋮ Universal bounds and monotonicity properties of ratios of Hermite and parabolic cylinder functions ⋮ Functional inequalities for the generalized Wright functions

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