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A SHARP GENERAL OSTROWSKI TYPE INEQUALITY

Part of: Inequalities

Published online by Cambridge University Press:  21 December 2010

ZHENG LIU
ZHENG LIU*
Affiliation:
Institute of Applied Mathematics, School of Science, University of Science and Technology Liaoning, Anshan 114051, Liaoning, PR China (email: lewzheng@163.net)
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Abstract

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A new sharp general Ostrowski type inequality in L∞ norm is established. Some special cases are discussed.

Keywords

sharp inequalityOstrowski type inequalitymidpoint type inequalitytrapezoid type inequalitySimpson type inequality

MSC classification

Secondary: 26D15: Inequalities for sums, series and integrals
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 83 , Issue 2 , April 2011 , pp. 189 - 209
Copyright
Copyright © Australian Mathematical Publishing Association Inc. 2010

References

[1]Cerone, P., Dragomir, S. S. and Roumeliotis, J., ‘Some Ostrowski type inequalities for n-time differentiable mappings and applications’, Demonstratio Math. 32(4) (1999), 697–712.Google Scholar
[2]Liu, Z., ‘An inequality of Simpson type’, Proc R. Soc. Lond. Ser. A Math. Phys. Eng. Sci. 461 (2005), 2155–2158.Google Scholar
[3]Liu, Z., ‘Some Ostrowski type inequalities’, Math. Comput. Modelling 48 (2008), 949–960.CrossRefGoogle Scholar
[4]Pearce, C. E. M., Pečarić, J., Ujević, N. and Varošanec, S., ‘Generalizations of some inequalities of Ostrowski–Grüss type’, Math. Inequal. Appl. 3 (2000), 25–34.Google Scholar