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

Fatih Hezenci; Erhan Set; Hüseyin Budak

doi:10.47000/tjmcs.1571950

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

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.

Keywords

References

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Details

Primary Language

English

Subjects

Mathematical Methods and Special Functions

Journal Section

Research Article

Authors

Fatih Hezenci ^*
0000-0003-1008-5856
Türkiye

Erhan Set
0000-0003-1364-5396
Türkiye

Hüseyin Budak
0000-0001-8843-955X
Türkiye

Publication Date

February 23, 2026

Submission Date

October 22, 2024

Acceptance Date

November 21, 2025

Published in Issue

Year 2026 Volume: 18 Number: 1

DOI

https://doi.org/10.47000/tjmcs.1571950

IZ

https://izlik.org/JA75WU53PW

Cite

RIS / Bibtex

APA

Hezenci, F., Set, E., & Budak, H. (2026). On Error Bounds for Parameterized Trapezoid and Newton Formulas via Conformable Fractional Operators. Turkish Journal of Mathematics and Computer Science, 18(1), 192-208. https://doi.org/10.47000/tjmcs.1571950

AMA

1.Hezenci F, Set E, Budak H. On Error Bounds for Parameterized Trapezoid and Newton Formulas via Conformable Fractional Operators. TJMCS. 2026;18(1):192-208. doi:10.47000/tjmcs.1571950

Chicago

Hezenci, Fatih, Erhan Set, and Hüseyin Budak. 2026. “On Error Bounds for Parameterized Trapezoid and Newton Formulas via Conformable Fractional Operators”. Turkish Journal of Mathematics and Computer Science 18 (1): 192-208. https://doi.org/10.47000/tjmcs.1571950.

EndNote

Hezenci F, Set E, Budak H (February 1, 2026) On Error Bounds for Parameterized Trapezoid and Newton Formulas via Conformable Fractional Operators. Turkish Journal of Mathematics and Computer Science 18 1 192–208.

IEEE

[1]F. Hezenci, E. Set, and H. Budak, “On Error Bounds for Parameterized Trapezoid and Newton Formulas via Conformable Fractional Operators”, TJMCS, vol. 18, no. 1, pp. 192–208, Feb. 2026, doi: 10.47000/tjmcs.1571950.

ISNAD

Hezenci, Fatih - Set, Erhan - Budak, Hüseyin. “On Error Bounds for Parameterized Trapezoid and Newton Formulas via Conformable Fractional Operators”. Turkish Journal of Mathematics and Computer Science 18/1 (February 1, 2026): 192-208. https://doi.org/10.47000/tjmcs.1571950.

JAMA

1.Hezenci F, Set E, Budak H. On Error Bounds for Parameterized Trapezoid and Newton Formulas via Conformable Fractional Operators. TJMCS. 2026;18:192–208.

MLA

Hezenci, Fatih, et al. “On Error Bounds for Parameterized Trapezoid and Newton Formulas via Conformable Fractional Operators”. Turkish Journal of Mathematics and Computer Science, vol. 18, no. 1, Feb. 2026, pp. 192-08, doi:10.47000/tjmcs.1571950.

Vancouver

1.Fatih Hezenci, Erhan Set, Hüseyin Budak. On Error Bounds for Parameterized Trapezoid and Newton Formulas via Conformable Fractional Operators. TJMCS. 2026 Feb. 1;18(1):192-208. doi:10.47000/tjmcs.1571950