A remark on a modified Szász-Mirakjan operator
We prove that, for a sequence of positive numbers δ(n), if as , to guarantee that the modified Szász-Mirakjan operators converge to f(x) at every point, f must be identically zero.
We prove that, for a sequence of positive numbers δ(n), if as , to guarantee that the modified Szász-Mirakjan operators converge to f(x) at every point, f must be identically zero.
This is a survey of results in a particular direction of the theory of strong approximation by orthogonal series, related mostly with author's contributions to the subject.