Fractional Hermite-Hadamard inequality, Simpson's and Ostrowski's type inequalities for convex functions with respect to a pair of functions

Xie, JianqiangAli, Muhammad AamirBudak, HuseyinFeckan, MichalSitthiwirattham, Thanin2024-08-232024-08-2320230035-75961945-3795https://doi.org/10.1216/rmj.2023.53.611https://hdl.handle.net/20.500.12684/14040We consider the convexity with respect to a pair of functions and establish a Hermite-Hadamard type inequality for Riemann-Liouville fractional integrals. Moreover, we derive some new Simpson's and Ostrowski's type inequalities for differentiable convex mapping with respect to a pair of functions. We also show that the newly established inequalities are the extension of some existing inequalities. Finally, we consider some mathematical examples and graphs to show the validity of the newly established inequalities.en10.1216/rmj.2023.53.611info:eu-repo/semantics/closedAccessHermite-Hadamard inequalitySimpson's inequalityOstrowski's inequalityfractional calculus(gh)-convex functionsFractional Hermite-Hadamard inequality, Simpson's and Ostrowski's type inequalities for convex functions with respect to a pair of functionsArticle5326116282-s2.0-85166416902WOS:001022056700020Q2Q2