EN
Some integral inequalities through tempered fractional integral operator
Abstract
In this article, we adopt the tempered fractional integral operators to develop some novel Minkowski and Hermite-Hadamard type integral inequalities. Thus, we give several special cases of the integral inequalities for tempered fractional integrals obtained in the earlier works.
Keywords
References
- Abramovich, S., Farid, G., Pecaric, J., More about Hermite-Hadamard inequalities, Cauchy’s means, and superquadracity, Journal of Inequalities and Applications, (2010), 102467. https://doi.org/10.1155/2010/102467
- Akdemir, A. O., Özdemir, M. E., Avcı Ardıç, M., Yalçın, A., Some new generalizations for GA-convex functions, Filomat, 31 (4) (2017), 1009-1016. https://doi.org/10.2298/fil1704009a
- Sarıkaya, M. Z., Set, E., Yaldız, H., Başak, N, Hermite-Hadamard inequalities for fractional integrals and related fractional inequalities, Mathematical and Computational Modelling, 57 (9-10), (2013), 2403-2407. https://doi.org/10.1016/j.mcm.2011.12.048
- Azpeitia, A. G., Convex functions and Hadamard inequality, Revista Colombiana de Matematicas, 28 (1), (1994), 7-12. https://doi.org/10.15446/recolma
- Akdemir, A. O., Set, E., Özdemir, M. E., Yalçın, A., New generalizations for functions with second GG-convex derivatives, Uzbek Mathematical Journal, 4 (2018). https://doi.org/10.29229/uzmj.2018-4-3
- Nonnenmacher, Theo F., Metzler., R., On the Riemann-Liouville fractional calculus and some recent applications, Fractals, 3 (03) (1995), 557-566. https://doi.org/10.1142/s0218348x95000497
- Buschman, R. G., A factorization of an integral operator using Mikusinski calculus, SIAM Journal on Mathematical Analysis, 3 (1), (1972), 83-85. https://doi.org/10.1137/0503010
- Liu, R., Wu, Z., Well-posedness of a class of two-point boundary value problems associated with ordinary differential equations, Adv. Differ. Equ. 2018, 54 (2018). https://doi.org/10.1186/s13662-018-1510-5
Details
Primary Language
English
Subjects
Pure Mathematics (Other)
Journal Section
Research Article
Publication Date
June 21, 2024
Submission Date
November 8, 2023
Acceptance Date
February 22, 2024
Published in Issue
Year 2024 Volume: 73 Number: 2
APA
Gül, E., & Yalçın, A. (2024). Some integral inequalities through tempered fractional integral operator. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 73(2), 399-409. https://doi.org/10.31801/cfsuasmas.1387622
AMA
1.Gül E, Yalçın A. Some integral inequalities through tempered fractional integral operator. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2024;73(2):399-409. doi:10.31801/cfsuasmas.1387622
Chicago
Gül, Erdal, and Abdüllatif Yalçın. 2024. “Some Integral Inequalities through Tempered Fractional Integral Operator”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 73 (2): 399-409. https://doi.org/10.31801/cfsuasmas.1387622.
EndNote
Gül E, Yalçın A (June 1, 2024) Some integral inequalities through tempered fractional integral operator. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 73 2 399–409.
IEEE
[1]E. Gül and A. Yalçın, “Some integral inequalities through tempered fractional integral operator”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 73, no. 2, pp. 399–409, June 2024, doi: 10.31801/cfsuasmas.1387622.
ISNAD
Gül, Erdal - Yalçın, Abdüllatif. “Some Integral Inequalities through Tempered Fractional Integral Operator”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 73/2 (June 1, 2024): 399-409. https://doi.org/10.31801/cfsuasmas.1387622.
JAMA
1.Gül E, Yalçın A. Some integral inequalities through tempered fractional integral operator. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2024;73:399–409.
MLA
Gül, Erdal, and Abdüllatif Yalçın. “Some Integral Inequalities through Tempered Fractional Integral Operator”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 73, no. 2, June 2024, pp. 399-0, doi:10.31801/cfsuasmas.1387622.
Vancouver
1.Erdal Gül, Abdüllatif Yalçın. Some integral inequalities through tempered fractional integral operator. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2024 Jun. 1;73(2):399-40. doi:10.31801/cfsuasmas.1387622
