Fractional version of the Jensen-Mercer and Hermite-Jensen-Mercer type inequalities for strongly h-convex function

In this paper we find further versions of generalized Hadamard type fractional integral inequality for $ k $-fractional integrals. For this purpose we utilize the definition of $ h $-convex function. The presented results hold simultaneously for variant types of convexities and fractional integrals.

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Vydáno v:	AIMS mathematics Ročník 7; číslo 1; s. 784 - 803
Hlavní autor:	Ma, Fangfang
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	AIMS Press 01.01.2022
Témata:	convex function fractional integrals hermite-hadamard inequality jensen-mercer inequality
ISSN:	2473-6988, 2473-6988
On-line přístup:	Získat plný text
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Popis
Shrnutí:	In this paper we find further versions of generalized Hadamard type fractional integral inequality for $ k $-fractional integrals. For this purpose we utilize the definition of $ h $-convex function. The presented results hold simultaneously for variant types of convexities and fractional integrals.
ISSN:	2473-6988 2473-6988
DOI:	10.3934/math.2022047