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GENERALIZATION OF SOME INEQUALITIES USING LIDSTONE INTERPOLATION VIA DIAMOND INTEGRALS.

  • Published In: Bulletin of the Transilvania University of Braşov: Series III Mathematics & Computer Science, 2025, v. 67, n. 1. P. 71 1 of 3

  • Database: Academic Search Ultimate 2 of 3

  • Authored By: BILAL, Muhammad; KHAN, Khuram Ali; NOSHEEN, Ammara; PEČARIĆ, Josip 3 of 3

Abstract

In present paper, several inequalities involving Csisz'ar divergence are established by utilizing diamond integrals and Lidstone interpolation polynomials. Consequently, new and generalized inequalities are yields. The functions involved in these inequalities are higher order convex functions. Inequalities involving Shannon entropy, Kullback-Leibler discrimination, triangle distance and Jeffrey's distance, are studied as particular instances with the help of specially chosen convex functions. The main findings are also discussed for some special time scales (both discrete and continuous). Many existing results are also obtained which established the link with existing literature. [ABSTRACT FROM AUTHOR]

Additional Information

  • Source:Bulletin of the Transilvania University of Braşov: Series III Mathematics & Computer Science. 2025/01, Vol. 67, Issue 1, p71
  • Document Type:Article
  • Subject Area:Mathematics
  • Publication Date:2025
  • ISSN:2810-2029
  • DOI:10.31926/but.mif.2025.5.67.1.5
  • Accession Number:184848565
  • Copyright Statement:Copyright of Bulletin of the Transilvania University of Braşov: Series III Mathematics & Computer Science is the property of Transilvania University of Brasov, Faculty of Mathematics & Informatics and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)

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