On fractional biparameterized Newton-type inequalities

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Saleh W., Lakhdari A., Abdeljawad T., Meftah B.

JOURNAL OF INEQUALITIES AND APPLICATIONS, vol.2023, no.1, 2023 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 2023 Issue: 1
  • Publication Date: 2023
  • Doi Number: 10.1186/s13660-023-03033-w
  • Journal Name: JOURNAL OF INEQUALITIES AND APPLICATIONS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, MathSciNet, Metadex, zbMATH, Directory of Open Access Journals, Civil Engineering Abstracts
  • Open Archive Collection: AVESIS Open Access Collection
  • Kocaeli University Affiliated: No

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 alpha-convex. The investigation is concluded with numerical examples accompanied by graphical representations to substantiate the accuracy of the obtained results.