مشخصات پژوهش

صفحه نخست /Generalizations of Some ...
عنوان
Generalizations of Some Inequalities for Sugino Integrals
عنوان مجله Sahand Communications in Mathematical Analysis
نوع پژوهش مقاله چاپ شده
کلیدواژه‌ها
B-O type inequality, Convolution type inequality, Hardy type inequality, Minkowski’s inequality, Fuzzy integral inequality, Pseudo-integrals.
چکیده
In this paper, we express and prove Bushell-Okrasiaski, Hardy and Minkowski type inequalities for two classes of pseudointegrals. One of them, classes with pseudo-integrals where pseudooperations are defined via a monotone and continuous generator function. The other one concerns the pseudo-integrals based on a semiring with an idempotent addition and a pseudo-multiplication generator. Those are important inequalities from both mathematical and application points of view. The established results are based on the classical Bushell-Okrasiaski, Hardy and Minkowski’s inequalities for integrals. Also, some examples and applications are presented.
پژوهشگران بیاضدارابی (نفر اول)