03 آذر 1403

حسن برسم

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

مشخصات پژوهش

عنوان
On new refinement of the Jensen inequality using uniformly convex functions with applications
نوع پژوهش مقاله چاپ شده
کلیدواژه‌ها
Jensen’s inequality; means; csiszár divergence; global bounds; Shannon entropy; uniformly convex function
پژوهشگران یامین سیاری، حسن برسم، علیرضا ستارزاده

چکیده

One of the fundamental inequalities which is used in many inequities is Jensen inequality. In fact, it is a base of some inequality such as the arithmetic mean, harmonic mean inequality also in inequality with respect to entropies and information theory. The purpose of this research paper is to give a new interesting refinement of Jensen inequality for two particular finite sequences by using uniformly convex function. Also, we give some applications of this in information theory.