EN
Grüss Type Integral Inequalities For Generalized $\eta -$ Conformable Fractional Integrals
Abstract
Our aim in this paper is to establish new $\eta -$conformable fractional integral. For this purpose new inequalities are obtained by using generalized $\eta -$conformable fractional integral with the help of Grüss type integrals. The inequalities that exist in the literature are obtained in case of some special choices, which shows that the inequality we achieve is a more general inequality.
Keywords
References
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- Dragomir, S.S., A companion of the Grüüss inequality and applications, Applied Mathematics Letters, 17(4)(2004), 429-435.
- Grüss, G., Uber das maximum des absoluten Betrages von \begin{equation*} \frac{1}{b-a}\int\nolimits_{a}^{b}f(x)g(x)dx-\frac{1}{(b-a)^{2}}% \int\nolimits_{a}^{b}f(x)dx\int\nolimits_{a}^{b}g(x)dx \end{equation*} Mathematische Zeitschrift, 39(1935), 215-226.
- Jarad, F., Ugurlu, E., Abdeljawad, T., Baleanu, D. , On a new class of fractional operators, Advances in Difference Equations, 247(2017).
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Details
Primary Language
English
Subjects
Mathematical Sciences
Journal Section
Research Article
Publication Date
June 30, 2022
Submission Date
October 25, 2020
Acceptance Date
July 26, 2021
Published in Issue
Year 2022 Volume: 14 Number: 1
APA
Kılınç, S., & Yıldırım, H. (2022). Grüss Type Integral Inequalities For Generalized $\eta -$ Conformable Fractional Integrals. Turkish Journal of Mathematics and Computer Science, 14(1), 201-211. https://doi.org/10.47000/tjmcs.816174
AMA
1.Kılınç S, Yıldırım H. Grüss Type Integral Inequalities For Generalized $\eta -$ Conformable Fractional Integrals. TJMCS. 2022;14(1):201-211. doi:10.47000/tjmcs.816174
Chicago
Kılınç, Seda, and Hüseyin Yıldırım. 2022. “Grüss Type Integral Inequalities For Generalized $\eta -$ Conformable Fractional Integrals”. Turkish Journal of Mathematics and Computer Science 14 (1): 201-11. https://doi.org/10.47000/tjmcs.816174.
EndNote
Kılınç S, Yıldırım H (June 1, 2022) Grüss Type Integral Inequalities For Generalized $\eta -$ Conformable Fractional Integrals. Turkish Journal of Mathematics and Computer Science 14 1 201–211.
IEEE
[1]S. Kılınç and H. Yıldırım, “Grüss Type Integral Inequalities For Generalized $\eta -$ Conformable Fractional Integrals”, TJMCS, vol. 14, no. 1, pp. 201–211, June 2022, doi: 10.47000/tjmcs.816174.
ISNAD
Kılınç, Seda - Yıldırım, Hüseyin. “Grüss Type Integral Inequalities For Generalized $\eta -$ Conformable Fractional Integrals”. Turkish Journal of Mathematics and Computer Science 14/1 (June 1, 2022): 201-211. https://doi.org/10.47000/tjmcs.816174.
JAMA
1.Kılınç S, Yıldırım H. Grüss Type Integral Inequalities For Generalized $\eta -$ Conformable Fractional Integrals. TJMCS. 2022;14:201–211.
MLA
Kılınç, Seda, and Hüseyin Yıldırım. “Grüss Type Integral Inequalities For Generalized $\eta -$ Conformable Fractional Integrals”. Turkish Journal of Mathematics and Computer Science, vol. 14, no. 1, June 2022, pp. 201-1, doi:10.47000/tjmcs.816174.
Vancouver
1.Seda Kılınç, Hüseyin Yıldırım. Grüss Type Integral Inequalities For Generalized $\eta -$ Conformable Fractional Integrals. TJMCS. 2022 Jun. 1;14(1):201-1. doi:10.47000/tjmcs.816174