On generalization of trapezoid type inequalities for s-convex functions with generalized fractional integral operators

Abstract

By using contemporary theory of inequalities, this study is devoted to propose a number of refinements inequalities for the Hermite−Hadamard's type inequality and conclude explicit bounds for the trapezoid inequalities in terms of s-convex mappings, at most second derivative through the instrument of generalized fractional integral operator and a considerable amount of results for special means. The results of this study which are the generalization of those given in earlier works are obtained for functions f where | f | and | f | (or | f | q and | f | q for q ≥ 1) are s-convex hold by applying the Hölder inequality and the power mean inequality.

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Better Results for Trigonometrically Convex Functions via Hölder-İşcan and Improved Power-Mean Inequalities

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Novel Results based on Generalisation of Some Integral Inequalities for Trigonometrically -P Function

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