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

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

Abstract In this paper, we study generalizations of some integral inequalities related to Hardy type integral inequalities via $(p, q)$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mo>(</mml:mo><mml:mi>p</mml:mi><mml:mo>,</mml:mo><mml:mi>q</mml:mi><mml:mo>)</mml:mo></mml:math> -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.