Abstract
In this article, some new integral inequalities of generalized Hermite-Hadamard type for generalized s-convex functions in the second sense on fractal sets have been established.
Highlights
1 Introduction The convexity of functions is an important concept in the class mathematical analysis course, and it plays a significant role in many fields, for example, in biological system, economy, optimization, and so on [ – ]
There are a lot of several inequalities related to the class of convex functions
In Section, we state the operations with real line number fractal sets and some definitions are given
Summary
The convexity of functions is an important concept in the class mathematical analysis course, and it plays a significant role in many fields, for example, in biological system, economy, optimization, and so on [ – ]. Hermite-Hadamard’s inequality is one of the well-known results in the literature, which can be stated as follows. (Hermite-Hadamard’s inequality) Let f be a convex function on [a , a ] with a < a. In [ ], Dragomir and Fitzpatrick demonstrated a variation of Hadamard’s inequality which holds for s-convex functions in the second sense. Let f : R+ → R+ be an s-convex function in the second sense, < s < and a , a ∈ R+, a < a. Fractional calculus played an important part in fractal mathematics and engineering. In Section , we state the operations with real line number fractal sets and some definitions are given.
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