INEQUALITIES FOR CONVEX FUNCTIONS ON TIME SCALES

Year 2019, Volume: 9 Issue: 1, 64 - 72, 01.03.2019

Alper Ekıncı

Abstract

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.

Keywords

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

References

• 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.