2024 : 11 : 13
Asghar Rahimi

Asghar Rahimi

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

Title
Related Thunsdorff type and Frank–Pick type inequalities for Sugeno integral
Type
JournalPaper
Keywords
Sugeno integral Thunsdorff’s inequality Frank–Pick’s inequality
Year
2021
Journal APPLIED MATHEMATICS AND COMPUTATION
DOI
Researchers Bayaz Daraby ، Radco Mesiar ، ، Asghar Rahimi

Abstract

The purpose of this paper is to investigate the Thunsdorff’s inequality for Sugeno integral. By an example, we show that the classical form of this inequality does not hold for Sugeno integral . Then, by reviewing the initial conditions, we prove two main theorems for this inequality. Finally, by checking the special case of the aforementioned Thunsdorff’s inequality, we prove Frank–Pick type inequality for the Sugeno integral and illustrate it by an example.