On Error Bounds for Parameterized Trapezoid and Newton Formulas via Conformable Fractional Operators

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Hezenci F., Set E., BUDAK H.

Turkish Journal of Mathematics and Computer Science, cilt.18, sa.1, ss.192-208, 2026 (Scopus, TRDizin) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 18 Sayı: 1
  • Basım Tarihi: 2026
  • Doi Numarası: 10.47000/tjmcs.1571950
  • Dergi Adı: Turkish Journal of Mathematics and Computer Science
  • Derginin Tarandığı İndeksler: Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.192-208
  • Anahtar Kelimeler: conformable integrals, convex functions, Simpson’s38 formula, Trapezoid inequality
  • Kocaeli Üniversitesi Adresli: Evet

Özet

In this paper, we are established that the parameterized inequalities reduce to some trapezoid and Newton-type inequalities with the help of the special choices. For this, first we present a parameterized integral identity inducing fractional integrals and then prove trapezoid and Newton-type inequalities for differentiable convex functions. These inequalities are proved by using the conformable fractional integrals. By using the special cases of our main results, we also give some new and previously obtained trapezoid and Newton-type inequalities.