HERMITE-HADAMARD-LIKE TYPE INEQUALITIES FOR $(\alpha,m)$-CONVEX AND $S$-CONVEX FUNCTIONS

HADAMARD TYPE INEQUALITIES FOR (s, r)-PREINVEX FUNCTIONS IN THE FIRST SENSE Vol. 5(2) July 2017, No. 17, pp. 170-190 B. MEFTAH, K. BOUKERRIOUA AND T. CHIHEB

“…Remark. If we choose η (b, a) = b − a in Theorem 12, we obtain Theorem 2.2 from [23]. Moreover if we take s = 1 then we obtain Theorem 2.1 from [18].…”

“…In [18] In [23] Park gave the following theorems 2010 Mathematics Subject Classification. 26D15, 26D20.…”

Hermite-Hadamard’s inequalities for (h, r)-preinvex functions

“…The Hermite-Hadamard's inequality play an important role in many areas such as in nonlinear analysis, and optimization. The above double inequality has attracted many researchers, various generalizations, refinements, extensions and variants of (1.1) have appeared in the literature, we can mention [1,6,7,8,9,10,15,16,17,18,21,23,24,25,26,28,29,30,31,32,33,37,38,39,40,43], and references cited therein.…”

Some Hermite-Hadamard type inequalities for MT-convex functions via classical and Riemann-Liouville fractional integrals

“…For other recent results concerning Hermite-Hadamard type inequalities through various classes of convex functions, see [1,4,5,8,9,10,12,13,17,19,20,22,24,25,27] and the references cited therein.…”