On approximately harmonic h-convex functions depending on a given function


Muhammad Uzair Awan, Muhammad Aslam Noor, Marcela V Mihai, Khalida Inayat Noor, Nousheen Akhtar




A new class of harmonic convex function depending on given functions which is called as " approximately harmonic h-convex functions " is introduced. With the discussion of special cases it is shown that this class unifies other classes of approximately harmonic h-convex function. Some associated integral inequalities with these new classes of harmonic convexity are also obtained. Several special cases of the main results are also discussed