EN
On innovations of the multivariable fractional Hardy-type inequalities on time scales
Abstract
Fractional integral-type inequalities, dynamic equations, integral operators and variable expo-nents have an important place in time scales theory and harmonic analysis. Our main goal in this study is to obtain the multivariable fractional Hardy-type integral inequality using a new version of Jensen’s inequality for super-quadratic and sub-quadratic functions on time scales with variable exponents.
Keywords
References
- REFERENCES
- [1] Hardy GH. Note on a theorem of Hilbert. Math Z. 1920;6:314-317. [CrossRef]
- [2] Hardy GH. Notes on some points in the integral calculus, LX. An inequality between integrals. Mess Math 1925;54:150-156.
- [3] Hardy GH, Littlewood JE. Elementary theorems concerning power series with positive coefficients and moment constants of positive functions. J Reine Angew Math 1927;157:141-158. [CrossRef]
- [4] Hardy GH. Notes on some points in the integral cal-culus, LXIV. Mess Math 1928;57:12-16
- [5] Oguntuase JA, Persson LE. Time scales Hardy-type inequalities via superquadraticity. Ann Funct Anal 2014;5:61-73. [CrossRef]
- [6] Fabelurin OO, Oguntuase JA, Persson LE. Multidimensional hardy-type inequalities on time scales with variable Exponents. J Math Inequal 2019;13:725-736. [CrossRef]
- [7] Agarwal RP, O'Regan D, Saker SH. Hardy type inequalities on time scales. Switzerland: Springer International Publishing; 2016. [CrossRef]
Details
Primary Language
English
Subjects
Structural Biology
Journal Section
Research Article
Publication Date
April 30, 2023
Submission Date
June 23, 2021
Acceptance Date
September 27, 2021
Published in Issue
Year 2023 Volume: 41 Number: 2
APA
Akın, L., & Zeren, Y. (2023). On innovations of the multivariable fractional Hardy-type inequalities on time scales. Sigma Journal of Engineering and Natural Sciences, 41(2), 415-422. https://izlik.org/JA95BG43JZ
AMA
1.Akın L, Zeren Y. On innovations of the multivariable fractional Hardy-type inequalities on time scales. SIGMA. 2023;41(2):415-422. https://izlik.org/JA95BG43JZ
Chicago
Akın, Lütfi, and Yusuf Zeren. 2023. “On Innovations of the Multivariable Fractional Hardy-Type Inequalities on Time Scales”. Sigma Journal of Engineering and Natural Sciences 41 (2): 415-22. https://izlik.org/JA95BG43JZ.
EndNote
Akın L, Zeren Y (April 1, 2023) On innovations of the multivariable fractional Hardy-type inequalities on time scales. Sigma Journal of Engineering and Natural Sciences 41 2 415–422.
IEEE
[1]L. Akın and Y. Zeren, “On innovations of the multivariable fractional Hardy-type inequalities on time scales”, SIGMA, vol. 41, no. 2, pp. 415–422, Apr. 2023, [Online]. Available: https://izlik.org/JA95BG43JZ
ISNAD
Akın, Lütfi - Zeren, Yusuf. “On Innovations of the Multivariable Fractional Hardy-Type Inequalities on Time Scales”. Sigma Journal of Engineering and Natural Sciences 41/2 (April 1, 2023): 415-422. https://izlik.org/JA95BG43JZ.
JAMA
1.Akın L, Zeren Y. On innovations of the multivariable fractional Hardy-type inequalities on time scales. SIGMA. 2023;41:415–422.
MLA
Akın, Lütfi, and Yusuf Zeren. “On Innovations of the Multivariable Fractional Hardy-Type Inequalities on Time Scales”. Sigma Journal of Engineering and Natural Sciences, vol. 41, no. 2, Apr. 2023, pp. 415-22, https://izlik.org/JA95BG43JZ.
Vancouver
1.Lütfi Akın, Yusuf Zeren. On innovations of the multivariable fractional Hardy-type inequalities on time scales. SIGMA [Internet]. 2023 Apr. 1;41(2):415-22. Available from: https://izlik.org/JA95BG43JZ