On some inequalities for differentiable mappings and applications to special means of real numbers and to midpoint formula

Refinements and similar extensions of Hermite–Hadamard inequality for fractional integrals and their applications

“…In [12], Kirmaci and Özdemir established the following results connected with the first inequality in the inequality (1.1 ).…”

“…R, is known in the literature as Hermite-Hadamard inequality [7]. For some results which generalize, improve, and extend the inequality (1.1), refer to [1][2][3][4][5][6][8][9][10][11][12][13][14][15][16][17][18].…”

Hermite-Hadamard Type Inequalities with Applications

“…If x ∈ X 3 , then obviously equality holds in (20). Now if x ∈ X 1 , then by using Corollary 1 for a = 1, b = q(x) p(x) , multiplying both hand sides of the obtained results by p(x) and then integrating over X 1 , we get…”

“…For recent results, generalizations and refinements related to HermiteHadamard inequality see [1,2,3,5,8,9,10,11,12,13,14,15,16,25,26,19,20,21,22,27,28,30] and the references given therein. In 1998, Dragomir and Agarwal proved the following lemma and established some significant results for the class of differentiable convex mappings which are closely annexed with Hadamard's inequality.…”

Some New Inequalities of Hermite-Hadamard's Type

“…Also, in [5], Kırmacı andÖzdemir obtained the following inequality for differeftiable mappings which are connected with Hermite-Hadamard's inequality:…”