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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
مشخصات نویسندگان مقاله:

Bayaz Daraby - Department of Mathematics, University of Maragheh, P. O. Box ۵۵۱۸۱-۸۳۱۱۱, Maragheh, Iran.

خلاصه مقاله:
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/