New Hermite-Hadamard inequalities for twice differentiable $\phi$-MT-preinvex functions

Zheng, Sheng¹ ; Du, Ting-Song¹ ; Zhao, Sha-Sha¹ ; Chen, Lian-Zi¹

¹ College of Science, China Three Gorges University, 443002, Yichang, P. R. China

Journal of nonlinear sciences and its applications, Tome 9 (2016) no. 10, p. 5648-5660.

Résumé

New Hermite-Hadamard-type integral inequalities for $\phi$-MT-preinvex functions are obtained. Our results in special cases yield some of those results proved in recent articles concerning with the differentiable MTconvex functions. Some applications to special means and the trapezoidal formula are also considered, respectively.

Détail

DOI : 10.22436/jnsa.009.10.11

Classification : 26D15, 26A51, 26B12
Keywords: \(\phi\)-MT-preinvex functions, Hermite-Hadamard's integral inequality, Hölder's inequality.

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