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Weighted Statistical Approximation Properties of the q-Phillips Operators

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Fuzzy Information & Engineering and Operations Research & Management

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 211))

Abstract

In this paper, the q-Phillips operators which were introduced by I. Yüksel are studied. By the means of the q-integral and the concept of the statistical convergence, the weighted statistical approximation theorem of the operators is obtained. Then a convergence theorem of Korovkin type is given. Finally, a Voronovskaja-type asymptotic formulas is also investigated.

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Acknowledgments

This work is supported by the National Natural Science Foundation of China (Grant No. 61170324) and the Class A Science and Technology Project of Education Department of Fujian Province, China (Grant No. JA12324).

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Authors and Affiliations

  1. Department of Mathematics and Computer Science, Wuyi University, Wuyishan, 354300, China

    Mei-ying Ren

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  1. Mei-ying Ren
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Correspondence to Mei-ying Ren .

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Editors and Affiliations

  1. School of Mathematics and Information Science, Guangzhou University Higher Education Mega Center, Guangzhou, People's Republic of China

    Bing-Yuan Cao

  2. Department of Mathematics and Computer Sciences, Mazandaran University, Babolsar, Iran

    Hadi Nasseri

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Ren, My. (2014). Weighted Statistical Approximation Properties of the q-Phillips Operators. In: Cao, BY., Nasseri, H. (eds) Fuzzy Information & Engineering and Operations Research & Management. Advances in Intelligent Systems and Computing, vol 211. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-38667-1_37

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  • DOI: https://doi.org/10.1007/978-3-642-38667-1_37

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  • Print ISBN: 978-3-642-38666-4

  • Online ISBN: 978-3-642-38667-1

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