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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| Format: | Article |
| Language: | English |
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University of Maragheh
2022-09-01
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| Series: | Sahand Communications in Mathematical Analysis |
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| Online Access: | https://scma.maragheh.ac.ir/article_255016_e86435ad220bf615452781bc98b104c0.pdf |
| _version_ | 1811180304650469376 |
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| author | Bayaz Daraby |
| author_facet | Bayaz Daraby |
| author_sort | Bayaz Daraby |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-11T06:48:05Z |
| format | Article |
| id | doaj.art-8ab1c5f2443f4feaa4db35ba3a7c5a1c |
| institution | Directory Open Access Journal |
| issn | 2322-5807 2423-3900 |
| language | English |
| last_indexed | 2024-04-11T06:48:05Z |
| publishDate | 2022-09-01 |
| publisher | University of Maragheh |
| record_format | Article |
| series | Sahand Communications in Mathematical Analysis |
| spelling | doaj.art-8ab1c5f2443f4feaa4db35ba3a7c5a1c2022-12-22T04:39:17ZengUniversity of MaraghehSahand Communications in Mathematical Analysis2322-58072423-39002022-09-0119314116810.22130/scma.2022.562857.1183255016Generalizations of Some Inequalities for Sugino IntegralsBayaz Daraby0Department of Mathematics, University of Maragheh, P. O. Box 55181-83111, Maragheh, Iran.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.https://scma.maragheh.ac.ir/article_255016_e86435ad220bf615452781bc98b104c0.pdfb-o type inequalityconvolution type inequalityhardy type inequalityminkowski's inequalityfuzzy integral inequalitypseudo-integrals |
| spellingShingle | Bayaz Daraby Generalizations of Some Inequalities for Sugino Integrals Sahand Communications in Mathematical Analysis b-o type inequality convolution type inequality hardy type inequality minkowski's inequality fuzzy integral inequality pseudo-integrals |
| title | Generalizations of Some Inequalities for Sugino Integrals |
| title_full | Generalizations of Some Inequalities for Sugino Integrals |
| title_fullStr | Generalizations of Some Inequalities for Sugino Integrals |
| title_full_unstemmed | Generalizations of Some Inequalities for Sugino Integrals |
| title_short | Generalizations of Some Inequalities for Sugino Integrals |
| title_sort | generalizations of some inequalities for sugino integrals |
| topic | b-o type inequality convolution type inequality hardy type inequality minkowski's inequality fuzzy integral inequality pseudo-integrals |
| url | https://scma.maragheh.ac.ir/article_255016_e86435ad220bf615452781bc98b104c0.pdf |
| work_keys_str_mv | AT bayazdaraby generalizationsofsomeinequalitiesforsuginointegrals |