%0 Journal Article
%T Generalizations of Some Inequalities for Sugino Integrals
%J Sahand Communications in Mathematical Analysis
%I University of Maragheh
%Z 2322-5807
%A Daraby, Bayaz
%D 2022
%\ 09/01/2022
%V 19
%N 3
%P 141-168
%! Generalizations of Some Inequalities for Sugino Integrals
%K B-O type inequality
%K Convolution type inequality
%K Hardy type inequality
%K Minkowski's inequality
%K Fuzzy integral inequality
%K Pseudo-integrals
%R 10.22130/scma.2022.562857.1183
%X 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.
%U https://scma.maragheh.ac.ir/article_255016_e86435ad220bf615452781bc98b104c0.pdf