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.

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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
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article

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

FATİH HEZENCİ, H Üseyin Budak, Erhan Set
Turkish Journal of Mathematics and Computer Science
Mathematical Inequalities and Applications
article

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

FATİH HEZENCİ, H Üseyin Budak, Erhan Set
article en

Abstract

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.

Turkish Journal of Mathematics and Computer ScienceVol. 18(1)
Düzce Üniversitesi (TR), Ordu University (TR)
Reduced inequalities
Openalex Percentile: Top 43%
Mathematical Inequalities and Applications
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