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New Inequalities for Strongly r-Convex Functions

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In this study, firstly we introduce a new concept called “strongly r-convex function.” After that we establish Hermite-Hadamard-like inequalities for this class of functions. Moreover, by using an integral identity… Click to show full abstract

In this study, firstly we introduce a new concept called “strongly r-convex function.” After that we establish Hermite-Hadamard-like inequalities for this class of functions. Moreover, by using an integral identity together with some well known integral inequalities, we establish several new inequalities for n-times differentiable strongly r-convex functions. In special cases, the results obtained coincide with the well-known results in the literature.

Keywords: new inequalities; convex functions; inequalities strongly; strongly convex

Journal Title: Journal of Function Spaces
Year Published: 2019

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