INEQUALITIES FOR CONVEX FUNCTIONS ON TIME SCALES

Yıl 2019, Cilt: 9 Sayı: 1, 64 - 72, 01.03.2019

Alper Ekıncı

Öz

In this paper, we presented ostrowski type
integral inequalities for convex functions. Also we give some results for continuous and discrete choises of time scales.

Anahtar Kelimeler

∆−integral, Ostrowski’s inequality, Time scales, Hölder’s inequality

Kaynakça

• Dinu, C., (2008), Convex Functions on Time Scales, Annals of the University of Craiova, Math. Comp. Sci. Ser., (35), 87-96.
• Bohner, M. and Peterson, A., (2001), Dynamic Equations on Time Scales: An Introduction with Applications, Birkh¨auser, Boston.
• Bohner, M. and Matthews, T., (2008), Ostrowski Inequalities on Time Scales, JIPAM, 9.
• Mozyrska, D. and Pawluszewicz, E., Torres, D. F. M., (2010), The Riemann-Stieltjes integral on time scales, Aust. J. Math. Anal. Appl. 7 , 1–14.
• Alomari, M. and Darus, M., (2010), Some Ostrowski’s Type Inequalities for Convex Functions With Applications, RGMIA Res. Rep. Coll., 13(1).
• Wong, F-H., Yeh, C-C. and Lian, W-C., (2006), An Extension of Jensen’s Inequality on Time Scales, Advances in Dynamical Systems and Applications, 1.1, 113–120.