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

Ru Liu, Jiajin Wen and Lingzhi Zhao ()
Additional contact information
Ru Liu: College of Computer Science, Chengdu University, Chengdu 610106, China
Jiajin Wen: College of Computer Science, Chengdu University, Chengdu 610106, China
Lingzhi Zhao: School of Information Engineering, Nanjing Xiaozhuang University, Nanjing 211171, China

Mathematics, 2024, vol. 12, issue 10, 1-16

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.

Keywords: ? -product; Chebyshev inequality; Jensen inequality; countermonotone; probability density function (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/12/10/1495/pdf (application/pdf)
https://www.mdpi.com/2227-7390/12/10/1495/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:12:y:2024:i:10:p:1495-:d:1392281

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().