New stochastic fractional integral and related inequalities of Jensen–Mercer and Hermite–Hadamard–Mercer type for convex stochastic processes

New stochastic fractional integral and related inequalities of Jensen–Mercer and Hermite–Hadamard–Mercer type for convex stochastic processes

Abstract In this investigation, we unfold the Jensen–Mercer ( J − M $\mathtt{J-M}$ ) inequality for convex stochastic processes via a new fractional integral operator. The incorporation of convex stochastic processes, the J − M $\mathtt{J-M}$ inequality and a fractional integral operator having an e...

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Bibliographic Details
Main Authors: Fahd Jarad, Soubhagya Kumar Sahoo, Kottakkaran Sooppy Nisar, Savin Treanţă, Homan Emadifar, Thongchai Botmart
Format: Article
Language:English
Published: SpringerOpen 2023-04-01
Series:Journal of Inequalities and Applications
Subjects:
Convex stochastic process
Hermite–Hadamard–Mercer inequality
Fractional integral operator
Exponential kernel
Online Access:https://doi.org/10.1186/s13660-023-02944-y

Internet

https://doi.org/10.1186/s13660-023-02944-y

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