On generalizations of some integral inequalities for preinvex functions via ( p , q ) $(p,q)$ -calculus

Abstract

Abstract In this paper, we establish some new ( p , q ) $(p,q)$ -integral inequalities of Simpson’s second type for preinvex functions. Many results given in this paper provide generalizations and extensions of the results given in previous research. Moreover, some examples are given to illustrate the investigated results.

Keywords

• Simpson’s second type
• Preinvex function
• ( p , q ) $(p,q)$ -calculus
• ( p , q ) $(p,q)$ -differentiable function
• ( p , q ) $(p,q)$ -integrable function