2024 : 11 : 23
Asghar Rahimi

Asghar Rahimi

Academic rank: Professor
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Education: PhD.
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Faculty: 1
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Research

Title
GENERALIZATION OF A TWO-DIMENSIONAL HARDY TYPE INEQUALITY FOR PSEUDO-INTEGRALS
Type
JournalPaper
Keywords
Fuzzy integrals, Hardy type inequality, Two-dimensional Hardy type inequality, Pseudo-integrals.
Year
2023
Journal Advances in Mathematical Sciences and Applications
DOI
Researchers Bayaz Daraby ، Asghar Rahimi ، Mortaza Tahmourasi

Abstract

In this paper, a new two-dimensional Hardy type inequality is given in two classes of pseudo-analysis. The first one is given for a pseudo-integrals where pseudo-addition and pseudo-multiplication are constructed by a monotone continuous function g : [0,∞] → [0,∞]. Another one is given by the semiring ([0, 1], max,⊙) where pseudo-multiplication is generated by an increasing continuous function.