Browsing by Subject "(g,h)-convex functions"

Now showing 1 - 1 of 1
  • Default Image
    Item
    FRACTIONAL HERMITEÐHADAMARD INEQUALITY, SIMPSONÕS AND OSTROWSKIÕS TYPE INEQUALITIES FOR CONVEX FUNCTIONS WITH RESPECT TO A PAIR OF FUNCTIONS
    (Rocky Mountain Mathematics Consortium, 2023) Jianqiang Xie; Muhammad Aamir Ali; HŸseyin Budak; Michal Fe_kan; Thanin Sitthiwirattham; M.A. Ali; School of Mathematical Sciences, Nanjing Normal University, Nanjing, China; email: mahr.muhammad.aamir@gmail.com
    We consider the convexity with respect to a pair of functions and establish a HermiteÐHadamard type inequality for RiemannÐLiouville fractional integrals. Moreover, we derive some new SimpsonÕs and OstrowskiÕs 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. © Rocky Mountain Mathematics Consortium.