NEW JENSEN-TYPE INTEGRAL INEQUALITIES VIA MODIFIED<i> (h,</i> m)-CONVEXITY AND THEIR APPLICATIONS

Bayraktar B., Korus P., Valdes J. E. N.

ACTA MATHEMATICA UNIVERSITATIS COMENIANAE, vol.92, no.3, pp.213-223, 2023 (ESCI) identifier

  • Publication Type: Article / Article
  • Volume: 92 Issue: 3
  • Publication Date: 2023
  • Journal Name: ACTA MATHEMATICA UNIVERSITATIS COMENIANAE
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, Academic Search Premier, Aerospace Database, Central & Eastern European Academic Source (CEEAS), Communication Abstracts, Metadex, zbMATH, Civil Engineering Abstracts
  • Page Numbers: pp.213-223
  • Keywords: Convex function, modified (h,m)-convexity, Jensen's inequality, Hermite-Hadamard inequality, Holder's inequality, power mean inequality
  • Bursa Uludag University Affiliated: Yes

Abstract

This article presents new developments and applications of Jensen's inequality. We explore various variations of Jensen's inequality related to modified (h, m)-convex functions. The obtained results extend the applicability of the inequality to a broader class of functions and contexts. In addition to the fact that the results presented in the article provide additional results available in the literature, we also give examples of their application.