This is a survey and expository article. Some new developments on refinements,
generalizations, and applications of Jordan's inequality and related problems, including …

New sharp inequalities for the ratios of Bessel functions of consecutive orders are obtained
using as main tool the first order difference-differential equations satisfied by these functions; …

Some new inequalities for quotients of modified Bessel functions of the first and second
kinds are deduced. Moreover, some developments on bounds for modified Bessel functions …

We find sufficient conditions for log-convexity and log-concavity for the functions of the forms
a↦∑ fk (a) kxk, a↦∑ fkΓ (a+ k) xk and a↦∑ fkxk/(a) k. The most useful examples of such …

In this note our aim is to point out that certain inequalities for modified Bessel functions of the
first and second kind, deduced recently by Laforgia and Natalini, are in fact equivalent to the …

Let $ I_ {\nu} $ and $ K_ {\nu} $ denote the modified Bessel functions of the first and second
kinds of order $\nu. $ In this note we prove that the monotonicity of $ u\mapsto I_ {\nu}(u) K …

In this paper our aim is to deduce some sharp Turán type inequalities for modified Bessel
functions of the first and second kinds. Our proofs are based on explicit formulas for the …

In this paper some Turán type inequalities for classical and generalized Mittag-Leffler
functions are considered. The method is based on proving monotonicity for the special ratio …

In this paper, some Turán-type inequalities for Mittag–Leffler functions are considered. The
method is based on proving monotonicity for special ratio of sections for series of Mittag …

Turán-type inequalities for combinations of Kummer functions involving Φ (a±ν, c±ν, x) and
Φ (a, c±ν, x) have been recently investigated in [Á. Baricz, Functional inequalities involving …