On generalized Milne type inequalities for new conformable fractional integrals

ÇELİK B., Budak H., Set E.

FILOMAT, cilt.38, sa.5, ss.1807-1823, 2024 (SCI-Expanded, Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 38 Sayı: 5
  • Basım Tarihi: 2024
  • Doi Numarası: 10.2298/fil2405807c
  • Dergi Adı: FILOMAT
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1807-1823
  • Anahtar Kelimeler: Milne type inequalities, Convex function, Conformable fractional integrals, Bounded function, Function of bounded variation
  • Marmara Üniversitesi Adresli: Hayır

Özet

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, Hölder’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.