New integral inequalities for functions with concave powers of second derivatives

Özdemir M. E., Andric M.

FILOMAT, vol.40, no.8, pp.2801-2810, 2026 (SCI-Expanded, Scopus)

  • Publication Type: Article / Article
  • Volume: 40 Issue: 8
  • Publication Date: 2026
  • Journal Name: FILOMAT
  • Journal Indexes: Scopus, Science Citation Index Expanded (SCI-EXPANDED), MathSciNet, zbMATH
  • Page Numbers: pp.2801-2810
  • Bursa Uludag University Affiliated: Yes

Abstract

In this study, we derived several new integral inequalities for functions whose second derivatives in absolute value, raised to the power q > 1, are concave. Furthermore, new identities involving fractional operators for twice differentiable functions are obtained.