TRAPEZIUM-LIKE INEQUALITIES INVOLVING K-TH ORDER DIFFERENTIABLE RΓ-CONVEX FUNCTIONS AND APPLICATIONS

Miguel Vivas-Cortez, Muhammad Uzair Awan, Sadia Talib, Muhammad Aslam Noor, Khalida Inayat Noor

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

We introduce the class of Rγ-convex functions and discuss that it relates to some other classes of convexity. We study the class of Rγ-convex functions in the perspective of trapezium-like inequalities, for which we also derive a new integral identity involving a k-th order differentiable function. In order to show the significance of our results, we also discuss several special cases and offer some interesting applications.

Original languageEnglish
Article number448
JournalSymmetry
Volume14
Issue number3
DOIs
StatePublished - 23 Feb 2022

Bibliographical note

Publisher Copyright:
© 2022 by the authors. Licensee MDPI, Basel, Switzerland.

Keywords

  • R-convex functions
  • convex
  • k-times differentiable
  • means
  • trapezium inequalities

Fingerprint

Dive into the research topics of 'TRAPEZIUM-LIKE INEQUALITIES INVOLVING K-TH ORDER DIFFERENTIABLE RΓ-CONVEX FUNCTIONS AND APPLICATIONS'. Together they form a unique fingerprint.

Cite this