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In this paper, we introduce a new class of harmonic convex functions with respect to an arbitrary non-negative function, which is called the strongly general harmonic convex function. We discuss some… (More)

- Bandar Bin-Mohsin, Muhammad Uzair Awan, Muhammad Aslam Noor, Khalida Inayat Noor, Sabah Iftikhar, Awais Gul Khan
- 2017

In this paper, we introduce the concept of generalized beta-convex functions. This new class of convex functions includes several new and previous known classes of convex functions as special cases.… (More)

In this paper, we introduce a new class of harmonic preinvex functions, which is called harmonic h− preinvex functions. Several new Ostrowski type inequal- ities for harmonic h -preinvex … (More)

In this paper, we introduce a new class of harmonic convex functions with respect to an arbitrary trifunction F(·,·,·): K×K×[0,1]→R, which is called generalized strongly harmonic convex functions. We… (More)

In this paper, we introduce and study a new class of convex functions which is called strongly generalized harmonic convex functions. We establish some estimates involving the Euler Beta function and… (More)

In this chapter, we introduce the notion of general harmonic convex functions using an arbitrary auxiliary function \(g: \mathbb{R} \rightarrow \mathbb{R}\). We obtain several new integral… (More)

A new Hermite-Hadamard inequality for p-convex(nonconvex) functions is ob- tained, which can be viewed as a reflnement of known results. We derive some new inequali- ties for functions whose… (More)

In this paper, we introduce a new class of harmonic preinvex functions, which is called harmonic MT -preinvex functions. Some new Hermite-Hadamard type inequalities for harmonic MT -preinvex… (More)

In this paper, we obtain some new Hermite-Hadamard type integral inequalities for coordinated convex functions. Several integral inequalities can be obtained by taking n to be an even number in our… (More)