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New generalization of perturbed Ostrowski type inequalities and applications

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Abstract

Generalizations of perturbed Ostrowski type inequality for functions of Lipschitzian type are established. Applications in numerical integration and cumulative distribution functions are also given.

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Authors and Affiliations

  1. College of Mathematics and Physics, Nanjing University of Information Science and Technology, Nanjing, 210044, China

    Wen-Jun Liu, Qiao-Ling Xue & Shun-Feng Wang

Authors
  1. Wen-Jun Liu
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  2. Qiao-Ling Xue
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  3. Shun-Feng Wang
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Correspondence to Wen-Jun Liu.

Additional information

This work was supported by the National 11th Five-Year-Planning Project on Independent College (FIB070335-B2-03), the Science Research Foundation of NUIST and the Teaching Innovation Project of NUIST.

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Liu, WJ., Xue, QL. & Wang, SF. New generalization of perturbed Ostrowski type inequalities and applications. J. Appl. Math. Comput. 32, 157–169 (2010). https://doi.org/10.1007/s12190-009-0240-y

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  • DOI: https://doi.org/10.1007/s12190-009-0240-y

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