New midpoint type Hermite-Hadamard-Mercer inequalities pertaining to Caputo-Fabrizio fractional operators

The objective of the current article is to incorporate the concepts of convexity and Jensen-Mercer inequality with the Caputo-Fabrizio fractional integral operator. Moreover, we present new midpoint versions of Hermite-Hadamard-Mercer (H-H-M) type inequalities for convex functions and the product of...

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Hlavní autoři:	Soubhagya Kumar Sahoo, Y.S. Hamed, Pshtiwan Othman Mohammed, Bibhakar Kodamasingh, Kamsing Nonlaopon
Médium:	Artigo
Jazyk:	Inglês
Vydáno:	Elsevier 2023-02-01
Edice:	Alexandria Engineering Journal
Témata:	Hermite-Hadamard-Mercer inequality Caputo-Fabrizio operator Hölder’s inequality Hölder-İşcan inequality Modified Bessel functions
On-line přístup:	http://www.sciencedirect.com/science/article/pii/S1110016822006755
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