New Ostrowski and Ostrowski-Gruss type inequalities for double integrals on time scales involving a combination of $\Delta$-integral means

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Published: Dec 25, 2018
DOI: https://doi.org/10.5556/j.tkjm.49.2018.2632
Keywords:
Ostrowski inequality Gr\"uss inequality double integrals $\Delta$-integral means time scales

Main Article Content

Seth Kermausuor
Eze Raymond Nwaeze

Abstract

In 2014, some Ostrowski type inequalities for functions of a single variable were obtained in [Y. Jiang, H. R\"uzgar, W. J. Liu and A. Tuna: Some new generalizations of Ostrowski type inequalities on time scales involving combination of $\Delta$-integral means, J. Nonlinear Sci. Appl., {\bf{7}} (2014), 311--324]. In this paper, we extend some of the inequalities obtained in the above paper for double integrals. One of our results generalizes a result in the article [W. J. Liu, Q. A. Ng\^o and W. Chen: On new Ostrowski type inequalities for double integrals on time scales, Dyn. Syst. Appl., {\bf 19} (2010), 189--198]. We also apply our results to the continuous, discrete and quantum time scales to obtain some interesting inequalities.

Article Details

How to Cite
Kermausuor, S., & Nwaeze, E. R. (2018). New Ostrowski and Ostrowski-Gruss type inequalities for double integrals on time scales involving a combination of $\Delta$-integral means. Tamkang Journal of Mathematics, 49(4), 277–289. https://doi.org/10.5556/j.tkjm.49.2018.2632
Issue
Vol. 49 No. 4 (2018)
Section
Papers
Author Biographies

Seth Kermausuor

Department of Mathematics and Computer Science, Alabama State University,Montgomery, AL 36101, USA.

Eze Raymond Nwaeze

Department of Mathematics, Tuskegee University, Tuskegee, AL 36088, USA.

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