Bounds for the product of modified Bessel functions
\'Arp\'ad Baricz, Dragana Jankov Ma\v{s}irevi\'c, Saminathan, Ponnusamy, Sanjeev Singh
TL;DR
This paper investigates monotonicity properties and bounds for the product of modified Bessel functions, extending known results and introducing new inequalities, with potential implications for mathematical analysis and applied sciences.
Contribution
It presents new bounds and a Turán type inequality for the product of modified Bessel functions, extending previous results for order zero.
Findings
Derived improved bounds for the product of modified Bessel functions
Established a new Turán type inequality for the product
Identified open problems for future research
Abstract
In this note our aim is to present some monotonicity properties of the product of modified Bessel functions of first and second kind. Certain bounds for the product of modified Bessel functions of first and second kind are also obtained. These bounds improve and extend known bounds for the product of modified Bessel functions of first and second kind of order zero. A new Tur\'an type inequality is also given for the product of modified Bessel functions, and some open problems are stated, which may be of interest for further research.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.