Some new generalizations for GA-convex functions

Abstract

In this paper, firstly we prove an integral identity that one can derive several new equalities for special selections of n from this identity: Secondly, we established more general integral inequalities for functions whose second derivatives of absolute values are GA-convex functions based on this equality.

Fractional integral inequalities via Atangana-Baleanu operators for convex and concave functions

“…Based on these studies, many papers have been produced for different kinds of convex functions. In [13] [14]. Therefore, a similar argument has been carried out by Zhang et al but now for s−geometrically convex functions in [16].…”

Some integral inequalities through tempered fractional integral operator

“…This interesting class of functions is defined as follows ( mentioned in ( [6]). For more information, see the papers [1][2][3][4][5] and [22]- [24]. Another aspect due to which the convexity theory has attracted many researchers 400 E. G ÜL, A. YALC ¸IN is its close relationship with theory of inequalities.…”

Fractional Integral Inequalities via Atangana-Baleanu Operators for Convex and Concave Functions

“…Based on these studies, many papers have been produced for different kinds of convex functions. In [4], Akdemir et al have proved several new integral inequalities for geometric-arithmetic convex functions via a new integral identity. Several new Hadamard's type integral inequalities have been established with applications to special means by Kavurmaci et al in [5].…”