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On Some Integral Type Inequality on Time Scales

Cilt: 3 Sayı: 1 15 Aralık 2020
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On Some Integral Type Inequality on Time Scales

Abstract

Time scales have been in the study area of many mathematicians for the last 30 years. Some of these studies are inequalities and dynamic equations. And also, inequalities and dynamic equations, differential calculus, difference calculus and quantum calculus contributed to the solution of many problems in various branches of science. Dynamic equations and inequalities on time scales have many applications in quantum mechanics, neural networks, heat transfer, electrical engineering, optics, economics and population dynamics. It is possible to give an example from the economics, seasonal investments and incomes. In this study, we will prove a special case of inequalities Minkowski’s integral type on time scale via the delta integral.

Keywords

Kaynakça

  1. 1 S.Hilger, Ein Maßkettenkalkul mit Anwendung auf Zentrmsmannigfaltingkeiten, Ph.D. Thesis, Univarsi. Wurzburg, 1988.
  2. 2 R.P. Agarwal, M. Bohner, A. Peterson, Inequalities on time scales: A survey. Math. Inequal. Appl., 4, (2001), 535-555. https://doi.org/10.7153/mia-04-48.
  3. 3 E. Akin-Bohner, M. Bohner, F. Akin, Pachpatte inequalities on time scales. Journal of Inequalities in Pure and Applied Mathematics. 6(1),(2005),1-23.
  4. 4 W.N.Li,Nonlinear Integral Inequalities in Two Independent Variables on Time Scales. Adv Differ Equ.283926, (2011). doi:10.1155/2011/283926.
  5. 5 G.A. Anastassiou, Principles of delta fractional calculus on time scales and inequalities.Mathematical and Computer Modelling. 52, (2010), 556-566. https://doi.org/10.1016/j.mcm.2010.03.055.
  6. 6 F.-H. Wong, C.-C. Yeh, S.-L.Yu, C.-H. Hong, Young’s inequality and related results on time scales, Appl. Math. Lett. 18, (2005), 983-988.
  7. 7 F.-H. Wong, C.-C. Yeh, W.-C. Lian, An extension of Jensen’s inequality on time scales, Adv. Dynam. Syst. Appl. 1(1), (2006), 113-120.
  8. 8 J. Kuang, Applied inequalities, Shandong Science Press, Jinan, 2003.

Ayrıntılar

Birincil Dil

İngilizce

Konular

Mühendislik

Bölüm

Konferans Bildirisi

Yazarlar

Yayımlanma Tarihi

15 Aralık 2020

Gönderilme Tarihi

27 Temmuz 2020

Kabul Tarihi

26 Eylül 2020

Yayımlandığı Sayı

Yıl 1970 Cilt: 3 Sayı: 1

Kaynak Göster

APA
Akın, L. (2020). On Some Integral Type Inequality on Time Scales. Conference Proceedings of Science and Technology, 3(1), 141-144. https://izlik.org/JA34RR74JT
AMA
1.Akın L. On Some Integral Type Inequality on Time Scales. Conference Proceedings of Science and Technology. 2020;3(1):141-144. https://izlik.org/JA34RR74JT
Chicago
Akın, Lütfi. 2020. “On Some Integral Type Inequality on Time Scales”. Conference Proceedings of Science and Technology 3 (1): 141-44. https://izlik.org/JA34RR74JT.
EndNote
Akın L (01 Aralık 2020) On Some Integral Type Inequality on Time Scales. Conference Proceedings of Science and Technology 3 1 141–144.
IEEE
[1]L. Akın, “On Some Integral Type Inequality on Time Scales”, Conference Proceedings of Science and Technology, c. 3, sy 1, ss. 141–144, Ara. 2020, [çevrimiçi]. Erişim adresi: https://izlik.org/JA34RR74JT
ISNAD
Akın, Lütfi. “On Some Integral Type Inequality on Time Scales”. Conference Proceedings of Science and Technology 3/1 (01 Aralık 2020): 141-144. https://izlik.org/JA34RR74JT.
JAMA
1.Akın L. On Some Integral Type Inequality on Time Scales. Conference Proceedings of Science and Technology. 2020;3:141–144.
MLA
Akın, Lütfi. “On Some Integral Type Inequality on Time Scales”. Conference Proceedings of Science and Technology, c. 3, sy 1, Aralık 2020, ss. 141-4, https://izlik.org/JA34RR74JT.
Vancouver
1.Lütfi Akın. On Some Integral Type Inequality on Time Scales. Conference Proceedings of Science and Technology [Internet]. 01 Aralık 2020;3(1):141-4. Erişim adresi: https://izlik.org/JA34RR74JT