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SOME HERMITE-JENSEN-MERCER LIKE INEQUALITIES FOR CONVEX FUNCTIONS THROUGH A CERTAIN GENERALIZED FRACTIONAL INTEGRALS AND RELATED RESULTS

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2020

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Abstract

In this article, in light of Jensen-Mercer inequality for functions whose derivatives in the absolute values are convex, some new Hermite-Jensen-Mercer inequalities have been obtained with the help of generalized types of fractional integral operators generated recently by specified local derivatives.

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Convex Functions, Hermite-Hadamard Inequality, Jensen Inequality, Jensen-Mercer Inequality, Fractional Integrals

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Butt, Saad Ihsan...et al. (2020). "SOME HERMITE-JENSEN-MERCER LIKE INEQUALITIES FOR CONVEX FUNCTIONS THROUGH A CERTAIN GENERALIZED FRACTIONAL INTEGRALS AND RELATED RESULTS", MISKOLC MATHEMATICAL NOTES, Vol. 21, No. 2, pp. 689-715.

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MISKOLC MATHEMATICAL NOTES

Volume

21

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2

Start Page

689

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715