Abstract
In this paper, we are dealing with q analogue of Durrmeyer type modified the Baskakov operators with two parameter α and β, which introduces a new sequence of positive linear q-integral operators. We show that this sequence is an approximation process in the polynomial weighted space of continuous function defined on the interval [0, ∞). We study moments, weighted approximation properties, the rate of convergence using a weighted modulus of smoothness, asymptotic formula and better error estimation for these operators.
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Mishra, V.N., Patel, P. The Durrmeyer type modification of the q-Baskakov type operators with two parameter α and β . Numer Algor 67, 753–769 (2014). https://doi.org/10.1007/s11075-013-9821-9
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DOI: https://doi.org/10.1007/s11075-013-9821-9
Keywords
- Durrmeyer type operators
- Weighted approximation
- Rate of convergence
- q-integral
- Stancu operators
- Point-wise convergent