Van der Corput inequalities for Bessel functions

DOI10.1080/10652469.2014.975419zbMath1320.33006arXiv1401.7764OpenAlexW2030136724MaRDI QIDQ5498528

Árpád Baricz, Tibor K. Pogány, Andrea Laforgia

Publication date: 9 February 2015

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1401.7764

zbMATH Keywords

modified Bessel functionsBessel functionslog-convexityvan der Corput inequality

Mathematics Subject Classification ID

Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Convexity of real functions in one variable, generalizations (26A51) Systems of functional equations and inequalities (39B72) Inequalities involving other types of functions (26D07)

Related Items (1)

Some properties of the generalized Jacobian elliptic functions III

Cites Work

• Bounds for ratios of modified Bessel functions and associated Turán-type inequalities
• Inequalities involving modified Bessel functions of the first kind. II
• Functional inequalities involving Bessel and modified Bessel functions of the first kind
• Geometrically concave univariate distributions
• Inequalities involving modified Bessel functions of the first kind
• Remarks on a paper by Giordano, Laforgia, and Pečarić
• An inequality for the Bessel functions of the first kind with imaginary argument
• Supplements to known inequalities for some special functions
• Monotonicity of the Zeros of a Cross-Product of Bessel Functions
• Analytic Inequalities
• On the Bessel distribution and related problems

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