TY - JOUR
ID - 255016
TI - Generalizations of Some Inequalities for Sugino Integrals
JO - Sahand Communications in Mathematical Analysis
JA - SCMA
LA - en
SN - 2322-5807
AU - Daraby, Bayaz
AD - Department of Mathematics, University of Maragheh, P. O. Box 55181-83111, Maragheh, Iran.
Y1 - 2022
PY - 2022
VL - 19
IS - 3
SP - 141
EP - 168
KW - B-O type inequality
KW - Convolution type inequality
KW - Hardy type inequality
KW - Minkowski's inequality
KW - Fuzzy integral inequality
KW - Pseudo-integrals
DO - 10.22130/scma.2022.562857.1183
N2 - 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.
UR - https://scma.maragheh.ac.ir/article_255016.html
L1 - https://scma.maragheh.ac.ir/article_255016_e86435ad220bf615452781bc98b104c0.pdf
ER -