Author/Authors :
Yasin, Sabir Department of Mathematics and Statistics - School of Quantitative Sciences - Utara University, Malaysia, Sintok, Kedah, Malaysia , Misiran, Masnita Department of Mathematics and Statistics - School of Quantitative Sciences - Utara University, Malaysia, Sintok, Kedah, Malaysia , Omar, Zurni Department of Mathematics and Statistics - School of Quantitative Sciences - Utara University, Malaysia, Sintok, Kedah, Malaysia
Abstract :
In this paper, (h1,h2)-convex and s-convex functions are merged to form (h1,h2,s)-convex function. Inequalities of the Hermite-Hadamard (H-H) and Fejer's types will then be extended by using the (h1,h2,s)-convex function and its derivatives. Some special cases for these extended H-H and Fejer's inequalities are also explored in order to get the previously specified results. The relationship between newly constructed Hermite-Hadamard (H−H) and Fejer's types of inequalities with the average (mean) values are also discussed.
Keywords :
Inequality , Hermite-Hadamard (H-H) , Fejer , Convex function
