Turán type inequalities for Krätzel functions

DOI10.1016/j.jmaa.2011.09.057zbMath1235.33003arXiv1101.2523OpenAlexW1510266585MaRDI QIDQ663620

Tibor K. Pogány, Árpád Baricz, Dragana Jankov

Publication date: 27 February 2012

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1101.2523

zbMATH Keywords

modified Bessel functionsVandermonde determinantHöldercomplete monotonicityTurán type inequalitiesKrätzel functionsRogers and Chebyshev integral inequalityTurán determinant

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Related Items (14)

Integral representations for Neumann-type series of Bessel functions $I_{𝜈},$ $Y_{𝜈}$ and $K_{𝜈}$ ⋮ On generalized complete \((p, q)\)-elliptic integrals ⋮ Turán determinants of Bessel functions ⋮ Alternating Mathieu Series, Hilbert–Eisenstein Series and Their Generalized Omega Functions ⋮ Some properties of a hypergeometric function which appear in an approximation problem ⋮ A generalization of the Krätzel function and its applications ⋮ Monotonicity and complete monotonicity of some functions involving the modified Bessel functions of the second kind ⋮ Turán type inequalities for Tricomi confluent hypergeometric functions ⋮ New results for Srivastava’s λ-generalized Hurwitz-Lerch Zeta function ⋮ Inequalities for modified Bessel functions and their integrals ⋮ On Young's inequality ⋮ Mixture Models and the Krätzel Integral Transform ⋮ Krätzel function and related statistical distributions ⋮ Treatise on generalized Krätzel function

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