Hadamard-type and Bullen-type inequalities for Lipschitzian functions and their applications

Hadamard-type and Bullen-type inequalities for Lipschitzian functions via fractional integrals

“…In [9], Tseng et al established some Hadamard-type and Bullen-type inequalities for Lipschitzian functions as follows. Theorem 1.3.…”

Fractional Integral Inequalities for Differentiable Convex Mappings and Applications to Special Means and a Midpoint Formula

“…For more recent results which generalize, improve, and extend the inequalities presented above, one can see Abramovich et al [10], Cal et al [11], Avci et al [12], Odemir et al [13; 14], Dragomir [15; 16], Sarikaya et al [17], Xiao et al [18], Xi et al [19], Bessenyei [20], Tseng et al [21], Niculescu [22] and references therein.…”

Hermite-Hadamard inequalities involving Riemann-Liouville fractional integrals via s-convex functions and applications to special means

“…However, this beautiful result was nowhere mentioned in the mathematical literature and was not widely known as Hermite's result (see Pečarić et al [17]). For more recent results which generalize, improve, and extend this classical Hermite-Hadamard inequality, one can see Dragomir [5], Sarikaya et al [19], Xiao et al [27], Bessenyei [4], Tseng et al [24], Niculescu [13], Bai et al [3], Li and Qi [11], Tunç [25], Srivastava et al [23], and references therein. In particular, let us note that Professor Srivastava et al present some interesting refinements and extensions of the Hermite-Hadamard inequalities in n variables (see Theorems 6-12, [23]) and compare with some various inequalities in earlier works.…”