Research Article

On innovations of the multivariable fractional Hardy-type inequalities on time scales

Volume: 41 Number: 2 April 30, 2023
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

  1. REFERENCES
  2. [1] Hardy GH. Note on a theorem of Hilbert. Math Z. 1920;6:314-317. [CrossRef]
  3. [2] Hardy GH. Notes on some points in the integral calculus, LX. An inequality between integrals. Mess Math 1925;54:150-156.
  4. [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]
  5. [4] Hardy GH. Notes on some points in the integral cal-culus, LXIV. Mess Math 1928;57:12-16
  6. [5] Oguntuase JA, Persson LE. Time scales Hardy-type inequalities via superquadraticity. Ann Funct Anal 2014;5:61-73. [CrossRef]
  7. [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]
  8. [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

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