Chebyshev–Jensen-Type Inequalities Involving χ-Products and Their Applications in Probability Theory-Reference-Cited by-同舟云学术

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Chebyshev–Jensen-Type Inequalities Involving χ-Products and Their Applications in Probability Theory

Published:2024-05-10 Issue:10 Volume:12 Page:1495
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

Author:

Liu Ru¹,Wen Jiajin¹,Zhao Lingzhi²^ORCID

Affiliation:

1. College of Computer Science, Chengdu University, Chengdu 610106, China

2. School of Information Engineering, Nanjing Xiaozhuang University, Nanjing 211171, China

Abstract

By means of the functional analysis theory, reorder method, mathematical induction and the dimension reduction method, the Chebyshev-Jensen-type inequalities involving the χ-products ⟨·⟩χ and [·]χ are established, and we proved that our main results are the generalizations of the classical Chebyshev inequalities. As applications in probability theory, the discrete with continuous probability inequalities are obtained.

Funder

National Natural Science Foundation of China

Sichuan Science and Technology Program

Publisher

MDPI AG

Link

https://www.mdpi.com/2227-7390/12/10/1495/pdf

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4. New results concerning Chebyshev-Grüss-type inequalities via discrete oscillations;Acu;Appl. Math. Comput.,2014

5. On the comonotonic-★-property for Sugeno integral;Ouyang;Appl. Math. Comput.,2009

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