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A remark on a modified Szász-Mirakjan operator

Guanzhen Zhou, Songping Zhou (1999)

Colloquium Mathematicae

We prove that, for a sequence of positive numbers δ(n), if n 1 / 2 δ ( n ) ¬ as n , to guarantee that the modified Szász-Mirakjan operators S n , δ ( f , x ) converge to f(x) at every point, f must be identically zero.

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