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  • 标题:Approximation Properties of Some Modified Summation-Integral Type Operator
  • 本地全文:下载
  • 作者:Ekta Pandey ; R.K.Mishra ; S.P.Pandey
  • 期刊名称:International Journal of Soft Computing & Engineering
  • 电子版ISSN:2231-2307
  • 出版年度:2015
  • 卷号:5
  • 期号:1
  • 页码:152-158
  • 出版社:International Journal of Soft Computing & Engineering
  • 摘要:In the present paper, we introduce some Stancu type generalization of Szász-Mirakyan-Baskakov type operators. We estimate the moments for these operators using the hypergeometric series, which can be related to Laguerre polynomials. We estimate point wise convergence, asymptotic expansion and error estimate in terms of higher order modulus of continuity of function in simultaneous approximation for these generalized operators. We use the technique of linear approximating method viz. Steklov mean.
  • 关键词:linear positive operators; simultaneous;approximation; Lebesgue function; modulus of continuity; Steklov;mean; hypergeometric series; Laguerre polynomial
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