Cătinaş, Teodora; Otrocol, Diana Iterates of multivariate Cheney-Sharma operators. (English) Zbl 1275.41029 J. Comput. Anal. Appl. 15, No. 7, 1240-1246 (2013). Summary: Using the weakly Picard operators technique, we study the convergence of the iterates of some bivariate and trivariate Cheney-Sharma operators. Also, we generalize the procedure for the multivariate case. Cited in 2 Documents MSC: 41A36 Approximation by positive operators 41A05 Interpolation in approximation theory 41A25 Rate of convergence, degree of approximation 39B12 Iteration theory, iterative and composite equations 47H10 Fixed-point theorems Keywords:Cheney-Sharma operators; contraction principle; weakly Picard operators PDF BibTeX XML Cite \textit{T. Cătinaş} and \textit{D. Otrocol}, J. Comput. Anal. Appl. 15, No. 7, 1240--1246 (2013; Zbl 1275.41029)