Some approximation properties of Baskakov-Durrmeyer-Stancu operators

نویسندگان

  • D. K. Verma
  • Vijay Gupta
  • Purshottam Narain Agrawal
چکیده

Keywords: Baskakov–Durrmeyer operator Pointwise convergence Asymptotic formula q-Analogue a b s t r a c t In this paper, we are dealing with a new type of Baskakov–Durrmeyer–Stancu (BDS) operators D ða;bÞ n ðf ; xÞ defined by (1.4). First we estimate moments of these operators and also obtain the recurrence relations for the moments. We estimate some approximation properties and asymptotic formulae for these operators. In the last section, we give better error estimations for the operators (1.4) using King type approach.

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عنوان ژورنال:
  • Applied Mathematics and Computation

دوره 218  شماره 

صفحات  -

تاریخ انتشار 2012