Some new generalizations of Ostrowski type inequalities on time scales involving combination of \(\triangle\)-integral means

Volume 7, Issue 5, pp 311--324 http://dx.doi.org/10.22436/jnsa.007.05.03

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Authors

Yong Jiang - College of Mathematics and Statistics, Nanjing University of Information Science and Technology, Nanjing 210044, China. Hüseyin Rüzgar - Department of Mathematics, Faculty of Science and Arts, University of Nigde, Merkez 51240, Nigde, Turkey. Wenjun Liu - College of Mathematics and Statistics, Nanjing University of Information Science and Technology, Nanjing 210044, China. Adnan Tuna - Department of Mathematics, Faculty of Science and Arts, University of Nigde, Merkez 51240, Nigde, Turkey.

Abstract

In this paper we obtain some new generalizations of Ostrowski type inequalities on time scales involving combination of \(\triangle\)-integral means, i.e., a new Ostrowski type inequality on time scales involving combination of \(\triangle\)-integral means, two Ostrowski type inequalities for two functions on time scales, and some new perturbed Ostrowski type inequalities on time scales. We also give some other interesting inequalities as special cases.

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Keywords

• Ostrowski inequality
• perturbed Ostrowski inequality
• \(\triangle\)-integral means
• time scales.

MSC

•  26D15
•  26E70
•  58C05
•  65D30

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