On a sum of modified Bessel functions

DOI10.1007/s00009-013-0365-yzbMath1295.33005arXiv1301.5429OpenAlexW3105519461MaRDI QIDQ2454104

Tibor K. Pogány, Árpád Baricz

Publication date: 12 June 2014

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1301.5429

zbMATH Keywords

monotonicityinequalitiesconvexitymodified Bessel functions

Mathematics Subject Classification ID

Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Related Items

On the regular integral solutions of a generalized Bessel differential equation ⋮ Modified Dini functions: monotonicity patterns and functional inequalities

Cites Work

• On a concentration inequality for sums of independent isotropic vectors
• Bounds for ratios of modified Bessel functions and associated Turán-type inequalities
• Inequalities for the gamma function
• Geometrically concave univariate distributions
• Probability inequalities for convex sets and multidimensional concentration functions
• Modified Bessel functions and their applications in probability and statistics
• Bessel inequalities with applications to conditional log returns under GIG scale mixtures of normal vectors.
• Improving on the MLE of a bounded normal mean.
• On the minimax estimator of a bounded normal mean.
• A shorter proof of Kanter's Bessel function concentration bound
• On a product of modified Bessel functions
• Rational Bounds for Ratios of Modified Bessel Functions
• Hiroshi OKAMURA
• Bernstein functions. Theory and applications
• On the Bessel distribution and related problems
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item