Generalizations of Some Inequalities for Sugino Integrals

Publish Year: 1401
نوع سند: مقاله ژورنالی
زبان: English
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JR_SCMA-19-3_010

تاریخ نمایه سازی: 28 آبان 1401

Abstract:

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.

Authors

Bayaz Daraby

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

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