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, vol.18, no.1, pp.192-208, 2026 (Scopus, TRDizin) identifier

  • Publication Type: Article / Article
  • Volume: 18 Issue: 1
  • Publication Date: 2026
  • Doi Number: 10.47000/tjmcs.1571950
  • Journal Name: Turkish Journal of Mathematics and Computer Science
  • Journal Indexes: Scopus, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.192-208
  • Keywords: conformable integrals, convex functions, Simpson’s38 formula, Trapezoid inequality
  • Kocaeli University Affiliated: Yes

Abstract

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.