Browsing by Author "Latif, Muhammad Amer"
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Article Certain midpoint-type Feje acute accent r and Hermite-Hadamard inclusions involving fractional integrals with an exponential function in kernel(2023) Jarad, Fahd; Sahoo, Soubhagya Kumar; Kodamasingh, Bibhakar; Latif, Muhammad Amer; Jarad, Fahd; Kashuri, Artion; 234808In 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.Other Certain midpoint-type Fejer and Hermite-Hadamard inclusions involving fractional integrals with an exponential function in kernel (vol 8, pg 5616, 2023)(2023) Jarad, Fahd; Sahoo, Soubhagya Kumar; Kodamasingh, Bibhakar; Latif, Muhammad Amer; Jarad, Fahd; Kashuri, Artion; 234808Article New (p, q)-estimates for different types of integral inequalities via (alpha, m)-convex mappings(2020) Baleanu, Dumitru; Latif, Muhammad Amer; Rashid, Saima; Baleanu, Dumitru; Chu, Yu-Ming; 56389In the article, we present a new (p, q)-integral identity for the first-order (p, q)-differentiable functions and establish several new (p, q)-quantum error estimations for various integral inequalities via (a alpha, m)-convexity. We also compare our results with the previously known results and provide two examples to show the superiority of our obtained results.p>
Article New (p, q)-estimates for different types of integral inequalities via (α, m)-convex mappings(2020) Baleanu, Dumitru; Latif, Muhammad Amer; Rashid, Saima; Baleanu, Dumitru; Chu, Yu-Ming; 56389In the article, we present a new (p, q)-integral identity for the first-order (p, q)-differentiable functions and establish several new (p, q)-quantum error estimations for various integral inequalities via (α, m)-convexity. We also compare our results with the previously known results and provide two examples to show the superiority of our obtained results.Article New (p, q)-estimates for different types of integral inequalities via (α, m)-convex mappings(2021) Baleanu, Dumitru; Latif, Muhammad Amer; Rashid, Saima; Baleanu, Dumitru; Chu, Yu-Ming; 56389In the article, we present a new (p, q)-integral identity for the first-order (p, q)-differentiable functions and establish several new (p, q)-quantum error estimations for various integral inequalities via (a alpha, m)-convexity. We also compare our results with the previously known results and provide two examples to show the superiority of our obtained results.
