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Bayaz Daraby

Bayaz Daraby

Academic rank: Professor
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Education: PhD.
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Research

Title
Generalizations of the Well-Known Chebyshev Type Inequalities for Pseudo-Integrals
Type
JournalPaper
Keywords
Non-additive measure, Chebyshev type inequality, Pseudo- addition, Pseudo-multiplication, Pseudo-integral.
Year
2018
Journal General Mathematics Notes
DOI
Researchers Bayaz Daraby

Abstract

In this paper, generalizations of the well-known Chebyshev type integral inequalities for pseudo-integrals are proved. Two cases are considered of the real semiring with pseudo-operations: One, when pseudo-operations are de ned by monotone and continuous function g (then the pseudo-integrals reduces g- integral), and the second with a semiring ([a; b]; max;⊙); where the pseudo- multiplication ⊙ is generated.