Refinements of Jensen’s inequality by uniformly convex functions

Research output: Contribution to journalArticlepeer-review


In this paper we deal with functions related to generalized convexity and refine Jensen type inequalities satisfied by such functions. Specifically, we extend inequalities satisfied by uniformly convex functions, strongly convex functions as well as superquadratic functions.

Original languageEnglish
Pages (from-to)75-88
Number of pages14
JournalAequationes Mathematicae
Issue number1
StatePublished - Feb 2023

Bibliographical note

Publisher Copyright:
© 2022, The Author(s), under exclusive licence to Springer Nature Switzerland AG.


  • Convex functions
  • Generalized convex functions
  • Strongly convex functions
  • Superquadratic functions
  • ψ-uniformly convex functions

ASJC Scopus subject areas

  • General Mathematics
  • Discrete Mathematics and Combinatorics
  • Applied Mathematics


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