On fractional biparameterized Newton-type inequalities

Wedad Saleh, Abdelghani Lakhdari, Thabet Abdeljawad*, Badreddine Meftah

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

Abstract

In this work, we present a novel biparameterized identity that yields a family of one-, two-, three-, and four-point Newton-type formulas. Subsequently, we establish some new Newton-type inequalities for functions whose first derivatives are α-convex. The investigation is concluded with numerical examples accompanied by graphical representations to substantiate the accuracy of the obtained results.

Original languageEnglish
Article number122
JournalJournal of Inequalities and Applications
Volume2023
Issue number1
DOIs
Publication statusPublished - 2023
Externally publishedYes

Keywords

  • Biparameterized identity
  • Hölder and power mean inequalities
  • Newton-type inequalities
  • Riemann–Liouville operators
  • α-convex functions

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