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Functional Equations in Mathematical Analysis pp 361–369Cite as

On Multivariate Ostrowski Type Inequalities

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Part of the book series: Springer Optimization and Its Applications ((SOIA,volume 52))

Abstract

In this paper several multivariate Ostrowski integral inequalities are established. These generalize some existing results of Pachpatte and provide new estimates to inequalities of this type.

Mathematics Subject Classification (2000): Primary 26D15

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References

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Acknowledgements

Chang-Jian Zhao: the research has been supported by National Natural ScienceFoundation of China (10971205).

Wing-Sum Cheung: the research has been partially supported by the Research Grants Council of the Hong Kong SAR, China (Project No.: HKU7016/07P).

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Authors and Affiliations

  1. Department of Information and Mathematics Sciences, College of Science, China Jiliang University, Hangzhou, 310018, People’s Republic of China

    Chang-Jian Zhao

  2. Department of Mathematics, The University of Hong Kong, Pokfulam Road, Hong Kong, People’s Republic of China

    Wing-Sum Cheung

Authors
  1. Chang-Jian Zhao
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  2. Wing-Sum Cheung
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Correspondence to Chang-Jian Zhao .

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Editors and Affiliations

  1. , Department of Mathematics, National Technical University of Athens, Iroon Polytechneiou 9, Athens, 15780, Greece

    Themistocles M. Rassias

  2. Institute of Mathematics, Pedagogical University, ul. Podchorazych 2, Krakow, 30-084, Poland

    Janusz Brzdek

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Zhao, CJ., Cheung, WS. (2011). On Multivariate Ostrowski Type Inequalities. In: Rassias, T., Brzdek, J. (eds) Functional Equations in Mathematical Analysis. Springer Optimization and Its Applications(), vol 52. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-0055-4_27

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