Generalizations of some integral inequalities related to Hardy type integral inequalities via ( p , q ) $(p,q)$ -calculus

Abstract

Abstract In this paper, we study generalizations of some integral inequalities related to Hardy type integral inequalities via ( p , q ) $(p, q)$ -calculus. Many results obtained in this paper provide extensions of existing results in the literature. Furthermore, some examples are given to illustrate the investigated results.

Keywords

• Hardy type integral inequalities
• ( p , q ) $(p,q)$ -calculus
• ( p , q ) $(p,q)$ -differentiable function
• ( p , q ) $(p,q)$ -integrable function