In: Mathematica Slovaca, vol. 65, no. 5
Tuncer Acar - Ali Aral - Vijay Gupta
Details:
Year, pages: 2015, 1107 - 1122
Keywords:
Bernstein-Stancu operators, Durrmeyer operators, hypergeometric series, local approximation, global approximation, asymptotic formula
About article:
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.
How to cite:
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
About edition:
Published: 1. 10. 2015