Some Opial-type integral inequalities via (p,q) $(p,q)$-calculus

Abstract

Abstract In this paper, we introduce a new Opial-type inequality by using (p,q) $(p,q)$-calculus and establish some integral inequalities. We find a (p,q) $(p,q)$-generalization of a Steffensens-type integral inequality and some other inequalities.

Keywords

• ( p , q ) $(p,q)$ -integers
• ( p , q ) $(p,q)$ -derivatives
• ( p , q ) $(p,q)$ -integral
• Opial inequality
• q-Opial inequality