03 آذر 1403

حسن برسم

مرتبه علمی: استادیار
نشانی: دانشگاه جیرفت
تحصیلات: دکترای تخصصی / ریاضی
تلفن: 09162765387
دانشکده: دانشکده علوم پایه

مشخصات پژوهش

عنوان
HERMITE-HADAMARD TYPE INEQUALITIES FOR m-CONVEX FUNCTIONS BY USING A NEW INEQUALITY FOR DIFFERENTIABLE FUNCTIONS
نوع پژوهش مقاله چاپ شده
کلیدواژه‌ها
Hermite-Hadamard inequalities, functional inequalities, m- convex functions, quasi-convex functions, special means, convex func- tions, Holder inequality, power-mean inequality.
پژوهشگران یامین سیاری، حسن برسم

چکیده

In this paper, we give some inequalities for di erentiable convex functions which are connected with the Hermite-Hadamard's integral inequality holding for convex functions. Also, we obtain some estimates to the right-hand side of Hermite-Hadamard inequality for functions whose absolute values of fourth derivatives raised to positive real powers are m-convex. Finally, some natural applications to special means of real numbers are given.