Tempered fractional versions of trapezoid and midpoint-type inequalities for twice-differentiable functions

Hezenci F., Budak H.

FILOMAT, cilt.38, sa.12, ss.4021-4034, 2024 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 38 Sayı: 12
  • Basım Tarihi: 2024
  • Doi Numarası: 10.2298/fil2412021h
  • Dergi Adı: FILOMAT
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.4021-4034
  • Kocaeli Üniversitesi Adresli: Hayır

Özet

The paper introduces a novel approach to examine Hermite-Hadamard-type inequalities taking advantage of tempered fractional operators. These inequalities are proved by means of twice-differentiable convex functions involving tempered fractional integral operators. Obtained Hermite-Hadamard-type inequalities are a generalization of some of the studies on this subject, including Riemann-Liouville fractional integrals.