Inequalities for integrals of the modified Struve function of the first kind

TL;DR

This paper establishes sharp inequalities for integrals involving the modified Struve function of the first kind and derives a tight inequality for a related hypergeometric function.

Contribution

It introduces new, sharp inequalities for integrals of the modified Struve function and a tight inequality for a generalized hypergeometric function.

Findings

Established inequalities with best possible constants

Derived a tight double inequality for a hypergeometric function

Enhanced understanding of the behavior of special functions

Abstract

Simple inequalities for some integrals involving the modified Struve function of the first kind $\mathbf{L}_{\nu}(x)$ are established. In most cases, these inequalities have best possible constant. We also deduce a tight double inequality, involving the modified Struve function $\mathbf{L}_{\nu}(x)$, for a generalized hypergeometric function.