Generalizations Euler-Maclaurin-type inequalities for conformable fractional integrals

Haider W., Budak H., Shehzadi A., Hezenci F., Chen H.

FILOMAT, vol.39, no.3, pp.1033-1049, 2025 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 39 Issue: 3
  • Publication Date: 2025
  • Doi Number: 10.2298/fil2503033h
  • Journal Name: FILOMAT
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1033-1049
  • Kocaeli University Affiliated: No

Abstract

In this study, we obtain a unique insight into differentiable convex functions by employing newly defined conformable fractional integrals. With this innovative approach, we unveil fresh Euler-Maclaurintype inequalities designed specifically for these integrals. Our proofs draw on fundamental mathematical principles, including convexity, Holder's inequality, and power mean inequality. Furthermore, we delve into new inequalities applicable to bounded functions, Lipschitzian functions, and functions of bounded variation. Notably, our findings align with established results under particular circumstances.