Study on Some Integral Inequalities for Pseudo-Integrals
عنوان مقاله: Study on Some Integral Inequalities for Pseudo-Integrals
شناسه ملی مقاله: JR_SCMA-19-1_009
منتشر شده در در سال 1401
شناسه ملی مقاله: JR_SCMA-19-1_009
منتشر شده در در سال 1401
مشخصات نویسندگان مقاله:
Bayaz Daraby - Department of Mathematics, University of Maragheh, P. O. Box ۵۵۱۸۱-۸۳۱۱۱, Maragheh, Iran.
خلاصه مقاله:
Bayaz Daraby - Department of Mathematics, University of Maragheh, P. O. Box ۵۵۱۸۱-۸۳۱۱۱, Maragheh, Iran.
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, \odot ), where \odot is generated. The integral inequalities are appling in multivariate approximation theory and probability theory and etc.
کلمات کلیدی: Carlson-type inequality, Sugeno integral, Fuzzy measure, Comonotone functions, Fuzzy integral inequality
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/1555101/