New Generalized Hermite–Hadamard–Mercer’s Type Inequalities Using (k, ψ)-Proportional Fractional Integral Operator

Autor: Henok Desalegn Desta, Eze R. Nwaeze, Tadesse Abdi, Jebessa B. Mijena
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: Foundations, Vol 3, Iss 1, Pp 49-62 (2023)
Druh dokumentu: article
ISSN: 2673-9321
DOI: 10.3390/foundations3010005
Popis: In this paper, by using Jensen–Mercer’s inequality we obtain Hermite–Hadamard–Mercer’s type inequalities for a convex function employing left-sided (k, ψ)-proportional fractional integral operators involving continuous strictly increasing function. Our findings are a generalization of some results that existed in the literature.
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