Some Weighted Midpoint Type Inequalities For Differentiable log-Convex Functions

Meftah B., Benchettah D. C., Lakhdari A., Merad M.

BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, vol.43, 2025 (ESCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 43
  • Publication Date: 2025
  • Doi Number: 10.5269/bspm.65977
  • Journal Name: BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, zbMATH, Directory of Open Access Journals
  • Kocaeli University Affiliated: No

Abstract

On the basis of a given integral identity, this paper purports to establish some novel weighted midpoint type inequalities for functions whose first derivatives are log-convex. Traditional integral inequalities, such as Holder's inequality, are among the integral inequalities that are utilised in proofs, in addition to fundamental definitions and conventional methods of mathematical analysis.