JOURNAL ARTICLE

General Lebesgue integral inequalities of Jensen and Ostrowski type and applications.

  • Published In: Asian-European Journal of Mathematics, 2023, v. 16, n. 6. P. 1 1 of 3

  • Database: Mathematics Source 2 of 3

  • Authored By: Saraswat, Ram Naresh; Tak, Ajay 3 of 3

Abstract

Jensen-Ostrowski-type inequalities for general Lebesgue integral are discussed. Here, we derive information inequalities for Lipschitzian derivatives by using new f -divergence measure which will be useful in Information Theory. In this way, we establish some particular cases of these information inequalities. We also obtain information inequalities for general Lebesgue integral of differentiable functions whose derivatives in absolute value are h -convex and its particular instances are established. [ABSTRACT FROM AUTHOR]

Additional Information

  • Source:Asian-European Journal of Mathematics. 2023/06, Vol. 16, Issue 6, p1
  • Document Type:Article
  • Subject Area:History
  • Publication Date:2023
  • ISSN:1793-5571
  • DOI:10.1142/S1793557123501139
  • Accession Number:164158474
  • Copyright Statement:Copyright of Asian-European Journal of Mathematics is the property of World Scientific Publishing Company 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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