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

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

Abstract In this paper, we establish some new $(p,q)$ <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> -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 …