Rate of convergence for certain Baskakov Durrmeyer type operators. (English) Zbl 1158.41307

The authors consider an integral modification of the Baskakov operators with the weight function of the Beta basic function. The approximation theorem for function having derivatives of bounded variation is proved. The similar result was obtained by V. Gupta, V. Vasishtha and M. K. Gupta [JIPAM, J. Inequal. Pure Appl. Math. 4, No. 2, Paper No. 34, 8 p., electronic only (2003; Zbl 1059.41007)].


41A25 Rate of convergence, degree of approximation
41A30 Approximation by other special function classes


Zbl 1059.41007