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  • 标题:Statistical approximation by Kantorovich-type discrete q -Betaoperators
  • 本地全文:下载
  • 作者:Vishnu Narayan Mishra ; Kejal Khatri ; Lakshmi Narayan Mishra
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2013
  • 卷号:2013
  • 期号:1
  • 页码:345
  • DOI:10.1186/1687-1847-2013-345
  • 语种:English
  • 出版社:Hindawi Publishing Corporation
  • 摘要:The aim of the present paper is to introduce a Kantorovich-type modification ofthe q-discrete beta operators and to investigate their statistical andweighted statistical approximation properties. Rates of statistical convergenceby means of the modulus of continuity and the Lipschitz-type function are alsoestablished for operators. Finally, we construct a bivariate generalization ofthe operator and also obtain the statistical approximation properties. MSC: 41A25, 41A36.
  • 关键词:discrete q -Beta operators ; Kantorovich-type operators ; Korovkin-type approximation theorem ; rate of statistical convergence ; modulus of continuity ; Lipschitz-type functions
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