Integral Inequalities for Differentiable Harmonically (s,m)-preinvex Functions

On Ostrowski–Mercer inequalities for differentiable harmonically convex functions with applications

“…In Theorem 8, if we set u 1 = a, u 2 = b, and v = x, then Theorem 8 becomes İşcan 19, Theorem 2.6 for s = q = 1 and Baloch and İşcan. 25,Theorem 42…”

“…In Corollary 2, if we set u 1 = a, u 2 = b, and v = x, then Corollary 2 becomes İşcan 19, Corollary 2.5 for s = q = 1 and Baloch and İşcan. 25,Corollary 44 for s = m = 1…”

Bounds of a Unified Integral Operator via Exponentially s,m-Convexity and Their Consequences

“…Motivated by its analytical interpretation, many other extended and generalized notions have been defined in literature. These notions are used to extend and generalize a lot of classical results (see [15,16,22,23] and references therein). A generalized notion called exponentially ðs, mÞ -convexity is defined in [24].…”

“…Many mathematicians have introduced fractional differential, fractional integral, and fractional conformable integral operators in this field (see [1][2][3][4][5][6][7][8][9][10][11][12][13][14]). Recently, several mathematical inequalities have been introduced via ðs, mÞ-convexity (see [15,16]). The goal of this paper is to obtain the bounds of all integral operators explained in Remarks 5 and 6 in a unified form for exponentially ðs, mÞ-convex functions.…”

Generalized m -preinvexity on fractal set and related local fractional integral inequalities with applications

“…One of the notable generalizations of convex function is preinvex function. For the concept of invex set and preinvex function, see references [3,5,6,12,35]. A new class of functions, named as m-convex function, was defined by Toader, see [33].…”