×

Oppenheim’s problem and related inequalities for Dunkl kernels. (English) Zbl 1292.26041

Summary: In this paper, we establish some inequalities related to Oppenheim’s problem for Dunkl kernels. In order to prove our main results, we present new inequalities involving modified Bessel functions of the first kind. Refinements of inequalities for modified Bessel functions are also given.

MSC:

26D07 Inequalities involving other types of functions
33B10 Exponential and trigonometric functions
33C10 Bessel and Airy functions, cylinder functions, \({}_0F_1\)
PDFBibTeX XMLCite
Full Text: DOI