01 خرداد 1403
بياض دارابي

بیاض دارابی

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

مشخصات پژوهش

عنوان
Study on Some Integral Inequalities for Pseudo-Integrals
نوع پژوهش مقاله چاپ شده
کلیدواژه‌ها
Carlson-type inequality, Sugeno integral, Fuzzy measure, Comonotone functions, Fuzzy integral inequality
سال
2022
مجله Sahand Communications in Mathematical Analysis
شناسه DOI 10.22130/scma.2022.557671.1148
پژوهشگران بیاض دارابی

چکیده

In this paper, we express and prove Stolarsky, Feng Qi and Markov type inequalities for two classes of pseudo-integrals. One of them concerning the pseudo-integrals based on a function reduces on the g-integral where pseudo-operations are defined by a monotone and continuous function g. The other one concerns the pseudo-integrals based on a semiring ([a, b], max,⊙), where ⊙ is generated. The integral inequalities are appling in multivariate approximation theory and probability theory and etc.