(m1,m2)-Convexity and Some New Hermite-Hadamard Type Inequalities

International Journal of Mathematical Modelling & Computations

مقاله 5، دوره 9، 4 (Fall) - شماره پیاپی 36، اسفند 2019، صفحه 297-309   

نوع مقاله: Full Length Article

نویسنده

Huriye Kadakal^*

Ministry of Education, Hamdi Bozbag Anatolian High School, Giresun, Turkey

چکیده

In this manuscript, a new class of extended (m1,m2)-convex and concave functions is introduced. After some properties of (m1,m2)-convex functions have been given, the inequalities obtained with Hölder and Hölder-İşcan and power-mean and improwed power-mean integral inequalities have been compared and it has been shown that the inequality with Hölder-İşcan inequality gives a better approach than with Hölder integral inequality and improwed power-mean inequality gives a better approach than with power-mean inequality.

کلیدواژه‌ها

(m1,m2)-Convex function؛ Hölder and Hölder-İşcan integral inequalities؛ Power-mean and improwed power-mean integral inequalities؛ Hermite-Hadamard inequality