Functional inequalities involving modified Struve functions

TL;DR

This paper investigates the properties of the modified Struve function of the second kind, establishing monotonicity, convexity, and deriving inequalities and bounds using its integral representation.

Contribution

It introduces new monotonicity and convexity results for the modified Struve function, leading to novel inequalities and bounds not previously documented.

Findings

Proved monotonicity and convexity properties of the modified Struve function.

Derived Turán-type inequalities and bounds for the function and its logarithmic derivative.

Established integral representation-based functional inequalities.

Abstract

In this paper our aim is to prove some monotonicity and convexity results for the modified Struve function of the second kind by using its integral representation. Moreover, as consequences of these results, we present some functional inequalities (like Tur\'an type inequalities) as well as lower and upper bounds for modified Struve function of the second kind and its logarithmic derivative.