Research Article

A note on conformable fractional Newton-type inequalities via functions of bounded variation

Volume: 1 Number: 1 November 28, 2025
EN

A note on conformable fractional Newton-type inequalities via functions of bounded variation

Abstract

In this paper, we establish an equality in order to obtain conformable fractional Newton-type inequalities. Moreover, we prove some Newton-type inequalities associated with conformable fractional operators for functions of bounded variation. Furthermore, some results are presented by using special choices of the obtained inequalities.

Keywords

References

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  3. [3] M.A. Ali, H. Budak, Z. Zhang (2022), A new extension of quantum Simpson’s and quantum Newton’s type inequalities for quantum differentiable convex functions, Math. Methods Appl. Sci., 45(4), 1845–1863. https://doi.org/10.1002/mma.7889
  4. [4] M.A. Noor, K.I. Noor, S. Iftikhar (2016), Some Newton’s type inequalities for harmonic convex functions, J. Adv. Math. Stud., 9(1), 07–16.
  5. [5] M.A. Noor, K.I. Noor, S. Iftikhar (2018), Newton inequalities for p-harmonic convex functions, Honam Math. J., 40(2), 239–250. https://dx.doi.org/10.5831/HMJ.2018.40.2.239
  6. [6] S. Iftikhar, P. Kumam, S. Erden (2020), Newton’s-type integral inequalities via local fractional integrals, Fractals, 28(03), 2050037. https://doi.org/10.1142/S0218348X20500371
  7. [7] S. Iftikhar, S. Erden, M.A. Ali, J. Baili, H. Ahmad (2022), Simpson’s second-type inequalities for co-ordinated convex functions and applications for cubature formulas, Fractal Fract., 6(1), 33. https://doi.org/10.3390/fractalfract6010033
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Details

Primary Language

English

Subjects

Applied Mathematics (Other)

Journal Section

Research Article

Publication Date

November 28, 2025

Submission Date

July 28, 2025

Acceptance Date

August 23, 2025

Published in Issue

Year 2025 Volume: 1 Number: 1

APA
Sarıışık, M., Hezenci, F., & Budak, H. (2025). A note on conformable fractional Newton-type inequalities via functions of bounded variation. Düzce Mathematical Research, 1(1), 11-21. https://izlik.org/JA35SN43UE
AMA
1.Sarıışık M, Hezenci F, Budak H. A note on conformable fractional Newton-type inequalities via functions of bounded variation. Düzce Mathematical Research. 2025;1(1):11-21. https://izlik.org/JA35SN43UE
Chicago
Sarıışık, Mehmet, Fatih Hezenci, and Hüseyin Budak. 2025. “A Note on Conformable Fractional Newton-Type Inequalities via Functions of Bounded Variation”. Düzce Mathematical Research 1 (1): 11-21. https://izlik.org/JA35SN43UE.
EndNote
Sarıışık M, Hezenci F, Budak H (November 1, 2025) A note on conformable fractional Newton-type inequalities via functions of bounded variation. Düzce Mathematical Research 1 1 11–21.
IEEE
[1]M. Sarıışık, F. Hezenci, and H. Budak, “A note on conformable fractional Newton-type inequalities via functions of bounded variation”, Düzce Mathematical Research, vol. 1, no. 1, pp. 11–21, Nov. 2025, [Online]. Available: https://izlik.org/JA35SN43UE
ISNAD
Sarıışık, Mehmet - Hezenci, Fatih - Budak, Hüseyin. “A Note on Conformable Fractional Newton-Type Inequalities via Functions of Bounded Variation”. Düzce Mathematical Research 1/1 (November 1, 2025): 11-21. https://izlik.org/JA35SN43UE.
JAMA
1.Sarıışık M, Hezenci F, Budak H. A note on conformable fractional Newton-type inequalities via functions of bounded variation. Düzce Mathematical Research. 2025;1:11–21.
MLA
Sarıışık, Mehmet, et al. “A Note on Conformable Fractional Newton-Type Inequalities via Functions of Bounded Variation”. Düzce Mathematical Research, vol. 1, no. 1, Nov. 2025, pp. 11-21, https://izlik.org/JA35SN43UE.
Vancouver
1.Mehmet Sarıışık, Fatih Hezenci, Hüseyin Budak. A note on conformable fractional Newton-type inequalities via functions of bounded variation. Düzce Mathematical Research [Internet]. 2025 Nov. 1;1(1):11-2. Available from: https://izlik.org/JA35SN43UE