02 خرداد 1403
بياض دارابي

بیاض دارابی

مرتبه علمی: استاد
نشانی:
تحصیلات: دکترای تخصصی / آنالیز ریاضی
تلفن:
دانشکده: دانشکده علوم پایه

مشخصات پژوهش

عنوان
Generalizations of Some Inequalities for Sugino Integrals
نوع پژوهش مقاله چاپ شده
کلیدواژه‌ها
B-O type inequality, Convolution type inequality, Hardy type inequality, Minkowski’s inequality, Fuzzy integral inequality, Pseudo-integrals.
سال
2022
مجله Sahand Communications in Mathematical Analysis
شناسه DOI 10.22130/scma.2022.562857.1183
پژوهشگران بیاض دارابی

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.