Generalizations of Some Inequalities for Sugino Integrals

In this paper, we express and prove Bushell-Okrasiaski, Hardy and Minkowski type inequalities for two classes of pseudo-integrals. One of them, classes with pseudo-integrals where pseudo-operations are defined via a monotone and continuous generator function. The other one concerns the pseudo-integr...

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Bibliographic Details
Published inSahand communications in mathematical analysis Vol. 19; no. 3; pp. 141 - 168
Main Author Bayaz Daraby
Format Journal Article
LanguageEnglish
Published University of Maragheh 01.09.2022
Subjects
b-o type inequality
convolution type inequality
fuzzy integral inequality
hardy type inequality
minkowski's inequality
pseudo-integrals
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Summary:In this paper, we express and prove Bushell-Okrasiaski, Hardy and Minkowski type inequalities for two classes of pseudo-integrals. One of them, classes with pseudo-integrals where pseudo-operations 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.
ISSN:2322-5807
2423-3900
DOI:10.22130/scma.2022.562857.1183