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Ostrowski-type inequalities for n-polynomial $\mathscr{P}$-convex function for k-fractional Hilfer–Katugampola derivative

Ostrowski-type inequalities for n-polynomial $\mathscr{P}$-convex function for k-fractional Hilfer–Katugampola derivative

Abstract In this article, we develop a novel framework to study a new class of convex functions known as n -polynomial $\mathscr{P} $ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>P</mml:mi> </mml:math> -convex functions. The purpose of this article is to establish a new generalization of Ostrowski-type integral inequalities by using a generalized k -fractional …