On generalized Milne type inequalities for new conformable fractional integrals

ÇELİK B., Budakb H., Seta E.

FILOMAT, vol.38, no.5, pp.1807-1823, 2024 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 38 Issue: 5
  • Publication Date: 2024
  • Doi Number: 10.2298/fil2405807c
  • Journal Name: FILOMAT
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1807-1823
  • Kocaeli University Affiliated: No

Abstract

In this study, we first obtained a new identity for differentiable convex functions with the help of new conformable fractional integrals. Then, using this identity, we proved new Milne-type inequalities for new conformable fractional integrals. In the proofs, we used convexity, Ho center dot lder's inequality and mean power inequality, respectively. In other chapters, we have presented new inequalities for bounded functions, Lipschitzian Functions and functions of bounded variation. The findings of this article are reduced to previously established results in specific cases.