Some New Improvements for Fractional Hermite-Hadamard Inequalities by Jensen-Mercer Inequalities

Alshehri M. G. A., Hyder A., Budak H., Barakat M. A.

JOURNAL OF FUNCTION SPACES, vol.2024, 2024 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 2024
  • Publication Date: 2024
  • Doi Number: 10.1155/2024/6691058
  • Journal Name: JOURNAL OF FUNCTION SPACES
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Agricultural & Environmental Science Database, zbMATH, Directory of Open Access Journals, Civil Engineering Abstracts
  • Kocaeli University Affiliated: No

Abstract

This article's objective is to introduce a new double inequality based on the Jensen-Mercer JM inequality, known as the Hermite-Hadamard-Mercer inequality. We use the JM inequality to build a number of generalized trapezoid-type inequalities. Moreover, in addition to the JM inequality, we also use the H & ouml;lder inequality and the power mean inequality. Finally, a few examples are given to highlight the main points of our outcomes.