Derivation of Bounds for Majorization Differences by a Novel Method and Its Applications in Information Theory

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dc.contributor.authorAbdul Basir
dc.contributor.authorMuhammad Adil Khan
dc.contributor.authorHidayat Ullah
dc.contributor.authorYahya Almalki
dc.contributor.authorSaowaluck Chasreechai
dc.contributor.authorThanin Sitthiwirattham
dc.contributor.correspondenceM.A. Khan; Department of Mathematics, University of Peshawar, Peshawar, 25000, Pakistan; email: madilkhan@uop.edu.pk; T. Sitthiwirattham; Research Group for Fractional Calculus Theory and Applications, Science and Technology Research Institute, King MongkutÕs University of Technology North Bangkok, Bangkok, 10800, Thailand; email: thanin_sit@dusit.ac.th
dc.date.accessioned2025-03-10T07:34:45Z
dc.date.available2025-03-10T07:34:45Z
dc.date.issued2023
dc.description.abstractIn the recent era of research developments, mathematical inequalities and their applications perform a very consequential role in different aspects, and they provide an engaging area for research activities. In this paper, we propose a new approach for the improvement of the classical majorization inequality and its weighted versions in a discrete sense. The proposed improvements give several estimates for the majorization differences. Some earlier improvements of the Jensen and Slater inequalities are deduced as direct consequences of the obtained results. We also discuss the conditions under which the main results give better estimates for the majorization differences. Applications of the acquired results are also presented in information theory. © 2023 by the authors.
dc.identifier.citationAxioms
dc.identifier.doi10.3390/axioms12090885
dc.identifier.issn20751680
dc.identifier.scopus2-s2.0-85172096701
dc.identifier.urihttps://repository.dusit.ac.th//handle/123456789/4560
dc.languageEnglish
dc.publisherMultidisciplinary Digital Publishing Institute (MDPI)
dc.rightsAll Open Access; Gold Open Access
dc.rights.holderScopus
dc.subjectconvex function
dc.subjectinformation theory
dc.subjectJensenÕs inequality
dc.subjectmajorization inequality
dc.subjectSlaterÕs inequality
dc.titleDerivation of Bounds for Majorization Differences by a Novel Method and Its Applications in Information Theory
dc.typeArticle
mods.location.urlhttps://www.scopus.com/inward/record.uri?eid=2-s2.0-85172096701&doi=10.3390%2faxioms12090885&partnerID=40&md5=7742b288e33a73e6854bba1995178ea5
oaire.citation.issue9
oaire.citation.volume12
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