Abstract
Very recently Gupta (Appl. Math. Comput. 197(1), 172–178, 2008) introduced the q-Durrmeyer operators D n,q f and studied some approximation properties of such operators. In the present paper, we extend the studies and here we obtain some local and global direct results for the q-Durrmeyer type operators. Furthermore, we establish a simultaneous approximation theorem for D n,q f, where f is a polynomial.
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Finta, Z., Gupta, V. Approximation by q-Durrmeyer operators. J. Appl. Math. Comput. 29, 401–415 (2009). https://doi.org/10.1007/s12190-008-0141-5
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DOI: https://doi.org/10.1007/s12190-008-0141-5