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On approximation properties of a new type of Bernstein-Durrmeyer operators

In: Mathematica Slovaca, vol. 65, no. 5
Tuncer Acar - Ali Aral - Vijay Gupta
Detaily:
Rok, strany: 2015, 1107 - 1122
Kľúčové slová:
Bernstein-Stancu operators, Durrmeyer operators, hypergeometric series, local approximation, global approximation, asymptotic formula
O článku:
The present paper deals with a new type of Bernstein-Durrmeyer operators on mobile interval. First, we represent the operators in terms of hypergeometric series. We also establish local and global approximation results for these operators in terms of modulus of continuity. We obtain an asymptotic formula for these operators and in the last section we present better error estimation for the operators using King type approach.
Ako citovať:
ISO 690:
Acar, T., Aral, A., Gupta, V. 2015. On approximation properties of a new type of Bernstein-Durrmeyer operators. In Mathematica Slovaca, vol. 65, no.5, pp. 1107-1122. 0139-9918. DOI: https://doi.org/10.1515/ms-2015-0076

APA:
Acar, T., Aral, A., Gupta, V. (2015). On approximation properties of a new type of Bernstein-Durrmeyer operators. Mathematica Slovaca, 65(5), 1107-1122. 0139-9918. DOI: https://doi.org/10.1515/ms-2015-0076
O vydaní:
Publikované: 1. 10. 2015