On some bivariate discrete operators in weighted function spaces (Q1343484)

For functions \(f\) of two variables there are considered the Boolean sums \(L_{m,n}f\) of parametric extensions of certain univariate discrete operators \(L_ m\) and \(L_ n\). The weighted mixed modulus of continuity of \(L_{m,n}f\) is estimated and the degrees of approximation of \(f\) by \(L_{m,n}f\) in some weighted norms are investigated.