Generalizations Euler-Maclaurin-type inequalities for conformable fractional integrals

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

FILOMAT, cilt.39, sa.3, ss.1033-1049, 2025 (SCI-Expanded, Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 39 Sayı: 3
  • Basım Tarihi: 2025
  • Doi Numarası: 10.2298/fil2503033h
  • Dergi Adı: FILOMAT
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1033-1049
  • Kocaeli Üniversitesi Adresli: Hayır

Özet

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.