A note on mixed summation-integral-type operators
Very recently Deo, in the paper “Simultaneous approximation by Lupas operators with weighted function of Szasz operators” [J. Inequal. Pure Appl. Math., 5, No. 4 (2004)] claimed to introduce the integral modifications of Lupas operators. These operators were first introduced in 1993 by Gupta and Srivastava. They estimated the simultaneous approximation for these operators and called them Baskakov-Szasz operators. There are several misprints in the paper by Deo. This motivated us to perform subsequent investigations in this direction. We extend the study and estimate a saturation result in simultaneous approximation for the linear combinations of these summation-integral-type operators.
English version (Springer): Ukrainian Mathematical Journal 59 (2007), no. 8, pp 1258-1263.
Citation Example: Gupta M. K., Manoj Kumar, Rupen Pratap Singh A note on mixed summation-integral-type operators // Ukr. Mat. Zh. - 2007. - 59, № 8. - pp. 1135–1139.