Abstract
The aim of this work is to generalize Szász-Mirakyan operator in the sense of Stancu-Durrmeyer operators, obtain the approximation properties, and estimate the rate of convergence for these modified operators.
Similar content being viewed by others
References
Z. Finta, N. K. Govil, and V. Gupta, J.Math. Anal. Appl. 327(2), 1284 (2007).
M. K. Gupta, M. S. Beniwal, and P. Goel, Appl. Math. Comput. 199(2), 828 (2008).
V. Gupta, The Math. Student 64(1–4), 27 (1995).
S.M. Mazhar and V. Totik, Acta Sci.Math. 49, 257 (1985).
H.M. Srivastava and X.M. Zeng, Int. J. Pure Appl. Math. 14(3), 283 (2004).
D. D. Stancu, Rev. Roum. Math. Pures et Appl. 13(8), 1173 (1968).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Govil, N.K., Gupta, V. Rate of approximation for Szász-Mirakyan-Stancu-Durrmeyer operators. Lobachevskii J Math 33, 249–254 (2012). https://doi.org/10.1134/S1995080212030067
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1995080212030067