Some approximation properties of a certain nonlinear Bernstein operators
Some approximation properties of a certain nonlinear Bernstein operators
The present paper concerns with a certain sequence of nonlinear Bernstein operators NBnf of the form (NBnf )(x) = ?nk=0 Pk,n (x,f (k/n)), 0 ? x ? 1, n ? N, acting on bounded functions on an interval [0, 1], where Pk, n satisfy some suitable assumptions. We will also …