Research Article

Chebyshev type inequalities with fractional delta and nabla h-sum operators

Volume: 70 Number: 1 June 30, 2021
EN

Chebyshev type inequalities with fractional delta and nabla h-sum operators

Abstract

The aim of this study is to establish new discrete inequalities for synchronous functions using fractional order delta and nabla h-sum operators. We give examples to illustrate our results.

Keywords

References

  1. Anastassiou, G. A., Nabla fractional calculus on time scales and inequalities, J. Concr. Appl. Math., 11(1) (2013), 96-111.
  2. Andric, M., Pecaric, J., Peric, I., A multiple Opial type inequality for the Riemann-Liouville fractional derivatives, J. Math. Inequal., 7(1) (2013), 139-150. https://doi.org/10.7153/jmi-07-13
  3. Aslıyüce, S., Güvenilir, A. F., Chebyshev type inequality on nabla discrete fractional calculus, Fract. Differ. Calc., 6(2) (2016), 275-280. https://doi.org/10.7153/fdc-06-18
  4. Aslıyüce, S., Güvenilir, A. F., Fractional Jensen's Inequality, Palest. J. Math., 7(2) (2018), 554-558.
  5. Aslıyüce, S., Wirtinger type inequalities via fractional integral operators, Stud. Univ. Babes- Bolyai Math., 64(1) (2019) 1, 35-42. https://doi.org/10.24193/subbmath.2019.1.04
  6. Atici, F, M., Eloe, P. W., A transform method in discrete fractional calculus, Int. J. Difference Equ., 2(2007), 165-176.
  7. Atici, F, M., Eloe, P. W., Discrete fractional calculus with the nabla operator, Electron J. Qual. Theory Differ. Equ., 3(2009), 12pp.
  8. Baleanu, D., Diethelm, K., Scalas, E., Trujillo, J. J., Fractional Calculus. Models and Numerical Methods. World Scientific Publishing Co. Pte. Ltd., Hackensack, 2017.

Details

Primary Language

English

Subjects

Applied Mathematics

Journal Section

Research Article

Publication Date

June 30, 2021

Submission Date

August 29, 2018

Acceptance Date

February 17, 2021

Published in Issue

Year 2021 Volume: 70 Number: 1

APA
Aslıyüce, S., & Güvenilir, A. F. (2021). Chebyshev type inequalities with fractional delta and nabla h-sum operators. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 70(1), 357-365. https://doi.org/10.31801/cfsuasmas.455707
AMA
1.Aslıyüce S, Güvenilir AF. Chebyshev type inequalities with fractional delta and nabla h-sum operators. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2021;70(1):357-365. doi:10.31801/cfsuasmas.455707
Chicago
Aslıyüce, Serkan, and Ayşe Feza Güvenilir. 2021. “Chebyshev Type Inequalities With Fractional Delta and Nabla H-Sum Operators”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 70 (1): 357-65. https://doi.org/10.31801/cfsuasmas.455707.
EndNote
Aslıyüce S, Güvenilir AF (June 1, 2021) Chebyshev type inequalities with fractional delta and nabla h-sum operators. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 70 1 357–365.
IEEE
[1]S. Aslıyüce and A. F. Güvenilir, “Chebyshev type inequalities with fractional delta and nabla h-sum operators”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 70, no. 1, pp. 357–365, June 2021, doi: 10.31801/cfsuasmas.455707.
ISNAD
Aslıyüce, Serkan - Güvenilir, Ayşe Feza. “Chebyshev Type Inequalities With Fractional Delta and Nabla H-Sum Operators”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 70/1 (June 1, 2021): 357-365. https://doi.org/10.31801/cfsuasmas.455707.
JAMA
1.Aslıyüce S, Güvenilir AF. Chebyshev type inequalities with fractional delta and nabla h-sum operators. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2021;70:357–365.
MLA
Aslıyüce, Serkan, and Ayşe Feza Güvenilir. “Chebyshev Type Inequalities With Fractional Delta and Nabla H-Sum Operators”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 70, no. 1, June 2021, pp. 357-65, doi:10.31801/cfsuasmas.455707.
Vancouver
1.Serkan Aslıyüce, Ayşe Feza Güvenilir. Chebyshev type inequalities with fractional delta and nabla h-sum operators. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2021 Jun. 1;70(1):357-65. doi:10.31801/cfsuasmas.455707

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics

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