Research Article

ON SOME RESULTS OF WEIGHTED HÖLDER TYPE INEQUALITY ON TIME SCALES

Volume: 6 Number: 1 June 29, 2020
EN

ON SOME RESULTS OF WEIGHTED HÖLDER TYPE INEQUALITY ON TIME SCALES

Abstract

The concept of time scales has attracted the attention of mathematicians for a quarter-century. The time scales have a very important place in mathematical analysis. Many mathematicians have worked on this subject and they have achieved good results. Inequalities and dynamic equations are at the top of these studies. Inequalities and dynamic equations contributed to the solution of many problems in various branches of science. In this article, some results of weighted Hölder type inequality are presented via ⋄_α-integral.

Keywords

Thanks

Teşekkürler

References

  1. [1] Hilger, S. Ein Maßkettenkalkül mit Anwendung auf Zentrmsmannigfaltingkeiten, Ph.D. Thesis, Univarsi. Würzburg, 1988.
  2. [2] Agarwal, R.P., Bohner, M., Peterson, A., “Inequalities on time scales: A survey”. Math. Inequal. Appl., 4, 535-555, 2001.
  3. [3] Akin-Bohner, A., Bohner, M., Akin, F., “Pachpatte inequalities on time scales”. Journal of Inequalities in Pure and Applied Mathematics, 6(1), 1-23, 2005.
  4. [4] Li, W.N., “Nonlinear Integral Inequalities in Two Independent Variables on Time Scales”. Adv Differ Equ. doi:10.1155/2011/283926, 2011.
  5. [5] Anastassiou, G.A., “Principles of delta fractional calculus on time scales and inequalities”, Mathematical and Computer Modelling, 52, 556-566, 2010.
  6. [6] Wong, F.-H., Yeh, C.-C.,Yu, S.L.,Hong, C.-H., “Young’s inequality and related results on time scales,” Appl. Math. Lett. 18, 983–988, 2005.
  7. [7] Wong, F.-H., Yeh, C.-C., Lian, W.-C., “An extension of Jensen’s inequality on time scales,” Adv. Dynam. Syst. Appl. 1 (1), 113–120, 2006.
  8. [8] Kuang, J., Applied inequalities, Shandong Science Press, Jinan, 2003.

Details

Primary Language

English

Subjects

Mathematical Physics

Journal Section

Research Article

Publication Date

June 29, 2020

Submission Date

April 30, 2020

Acceptance Date

June 16, 2020

Published in Issue

Year 2020 Volume: 6 Number: 1

APA
Akın, L. (2020). ON SOME RESULTS OF WEIGHTED HÖLDER TYPE INEQUALITY ON TIME SCALES. Middle East Journal of Science, 6(1), 15-22. https://doi.org/10.23884/mejs.2020.6.1.02
AMA
1.Akın L. ON SOME RESULTS OF WEIGHTED HÖLDER TYPE INEQUALITY ON TIME SCALES. MEJS. 2020;6(1):15-22. doi:10.23884/mejs.2020.6.1.02
Chicago
Akın, Lütfi. 2020. “ON SOME RESULTS OF WEIGHTED HÖLDER TYPE INEQUALITY ON TIME SCALES”. Middle East Journal of Science 6 (1): 15-22. https://doi.org/10.23884/mejs.2020.6.1.02.
EndNote
Akın L (June 1, 2020) ON SOME RESULTS OF WEIGHTED HÖLDER TYPE INEQUALITY ON TIME SCALES. Middle East Journal of Science 6 1 15–22.
IEEE
[1]L. Akın, “ON SOME RESULTS OF WEIGHTED HÖLDER TYPE INEQUALITY ON TIME SCALES”, MEJS, vol. 6, no. 1, pp. 15–22, June 2020, doi: 10.23884/mejs.2020.6.1.02.
ISNAD
Akın, Lütfi. “ON SOME RESULTS OF WEIGHTED HÖLDER TYPE INEQUALITY ON TIME SCALES”. Middle East Journal of Science 6/1 (June 1, 2020): 15-22. https://doi.org/10.23884/mejs.2020.6.1.02.
JAMA
1.Akın L. ON SOME RESULTS OF WEIGHTED HÖLDER TYPE INEQUALITY ON TIME SCALES. MEJS. 2020;6:15–22.
MLA
Akın, Lütfi. “ON SOME RESULTS OF WEIGHTED HÖLDER TYPE INEQUALITY ON TIME SCALES”. Middle East Journal of Science, vol. 6, no. 1, June 2020, pp. 15-22, doi:10.23884/mejs.2020.6.1.02.
Vancouver
1.Lütfi Akın. ON SOME RESULTS OF WEIGHTED HÖLDER TYPE INEQUALITY ON TIME SCALES. MEJS. 2020 Jun. 1;6(1):15-22. doi:10.23884/mejs.2020.6.1.02

Cited By

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License

TRDizinlogo_live-e1586763957746.png   ici2.png     scholar_logo_64dp.png    CenterLogo.png     crossref-logo-landscape-200.png  logo.png         logo1.jpg   DRJI_Logo.jpg  17826265674769  logo.png