Publication: Some new results on hermite-hadamard-mercer-type inequalities using a general family of fractional integral operators
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Özdemir, M. Emin
Authors
Set, Erhan
Celik, Baris
Aslan, Mucahit
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MDPİ
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Abstract
The aim of this article is to obtain new Hermite-Hadamard-Mercer-type inequalities using Raina's fractional integral operators. We present some distinct and novel fractional Hermite-Hadamard-Mercer-type inequalities for the functions whose absolute value of derivatives are convex. Our main findings are generalizations and extensions of some results that existed in the literature.
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Keywords
Convex function, Hermite-hadamard inequalities, Jensen-mercer inequality, Fractional integral operators, Science & technology, Physical sciences, Mathematics, interdisciplinary applications, Mathematics