On Error Bounds for Parameterized Trapezoid and Newton Formulas via Conformable Fractional Operators
In this paper, we are established that the parameterized inequalities reduce to some trapezoid andNewton-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.
Authors
- FATİH HEZENCİ
- H Üseyin Budak
- Erhan Set
Institutions
- Düzce Üniversitesi (TR)
- Ordu University (TR)
Publication Details
- Journal
- Turkish Journal of Mathematics and Computer Science
- Published
- 2026-02-23
- DOI
- https://doi.org/10.47000/tjmcs.1571950
- Primary Topic
- Mathematical Inequalities and Applications
- Type
- article
- Field-Weighted Citation Impact
- 0.00