Browsing by Author "Botmart, Thongchai"

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Citation - WoS: 9
Citation - Scopus: 9
Certain midpoint-type Feje acute accent r and Hermite-Hadamard inclusions involving fractional integrals with an exponential function in kernel
(Amer inst Mathematical Sciences-aims, 2023) Botmart, Thongchai; Jarad, Fahd; Sahoo, Soubhagya Kumar; Kodamasingh, Bibhakar; Latif, Muhammad Amer; Jarad, Fahd; Kashuri, Artion; 234808; Matematik
In this paper, using positive symmetric functions, we offer two new important identities of fractional integral form for convex and harmonically convex functions. We then prove new variants of the Hermite-Hadamard-Fejer type inequalities for convex as well as harmonically convex functions via fractional integrals involving an exponential kernel. Moreover, we also present improved versions of midpoint type Hermite-Hadamard inequality. Graphical representations are given to validate the accuracy of the main results. Finally, applications associated with matrices, q-digamma functions and modifed Bessel functions are also discussed.
Citation - WoS: 0
Citation - Scopus: 0
Certain midpoint-type Fejer and Hermite-Hadamard inclusions involving fractional integrals with an exponential function in kernel (vol 8, pg 5616, 2023)
(Amer inst Mathematical Sciences-aims, 2023) Botmart, Thongchai; Jarad, Fahd; Sahoo, Soubhagya Kumar; Kodamasingh, Bibhakar; Latif, Muhammad Amer; Jarad, Fahd; Kashuri, Artion; 234808; Matematik
Citation - WoS: 7
Citation - Scopus: 6
New stochastic fractional integral and related inequalities of Jensen–Mercer and Hermite–Hadamard–Mercer type for convex stochastic processes
(Springer, 2023) Jarad, Fahd; Jarad, Fahd; Sahoo, Soubhagya Kumar; Nisar, Kottakkaran Sooppy; Treanta, Savin; Emadifar, Homan; Botmart, Thongchai; 234808; Matematik
In this investigation, we unfold the Jensen-Mercer (J - M) inequality for convex stochastic processes via a new fractional integral operator. The incorporation of convex stochastic processes, the J - M inequality and a fractional integral operator having an exponential kernel brings a new direction to the theory of inequalities. With this in mind, estimations of Hermite-Hadamard-Mercer (H - H - M)-type fractional inequalities involving convex stochastic processes are presented. In the context of the new fractional integral operator, we also investigate a novel identity for differentiable mappings. Then, a new related H - H - M-type inequality is presented using this identity as an auxiliary result. Applications to special means and matrices are also presented. These findings are particularly appealing from the perspective of optimization, as they provide a larger context to analyze optimization and mathematical programming problems.