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
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Abstract 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.
AbstractList 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.
Author Ma, Fangfang
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Snippet In this paper we find further versions of generalized Hadamard type fractional integral inequality for $ k $-fractional integrals. For this purpose we utilize...
In this paper we find further versions of generalized Hadamard type fractional integral inequality for k-fractional integrals. For this purpose we utilize the...
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SubjectTerms convex function
fractional integrals
hermite-hadamard inequality
jensen-mercer inequality
Title Fractional version of the Jensen-Mercer and Hermite-Jensen-Mercer type inequalities for strongly h-convex function
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