JOURNAL ARTICLE

An approach to generalized (η1,η2)-convex functions via local fractional calculus and some applications.

  • Published In: International Journal of Geometric Methods in Modern Physics, 2026, v. 23, n. 1. P. 1 1 of 3

  • Database: Academic Search Ultimate 2 of 3

  • Authored By: Sanabria, José E.; Ramos-Fernández, Julio C.; Sánchez C., Rainier V. 3 of 3

Abstract

The purpose of this paper is to study a generalization of (η 1 , η 2) -convex functions using the local fractional calculus developed by Yang [Advanced Local Fractional Calculus and its Applications (World Science Publisher, New York, 2012)], namely generalized (η 1 , η 2) -convex functions. Among other results, we obtain some Fejér-type inequalities for this class of functions. As applications, we present some inequalities with generalized probability density functions and generalized special means. [ABSTRACT FROM AUTHOR]

Additional Information

  • Source:International Journal of Geometric Methods in Modern Physics. 2026/01, Vol. 23, Issue 1, p1
  • Document Type:Article
  • Subject Area:Science
  • Publication Date:2026
  • ISSN:0219-8878
  • DOI:10.1142/S0219887824400401
  • Accession Number:190388067
  • Copyright Statement:Copyright of International Journal of Geometric Methods in Modern Physics 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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