A remark on a modified Szász-Mirakjan operator

Abstract

Abstract. We prove that, for a sequence of positive numbers δ(n), if n

Approximation theorems for localized sza´sz–Mirakjan operators

“…Zhou and Zhou [7] also proved that (1) holds for every x ∈ [0, ∞) if and only if f ≡ 0 when (2) does not hold.…”

The approximation of localized Bernstein polynomials

“…In (7) Remark 2. For Szász-Mirakjan operators, Grof [10], Lehnhoff [11], Omey [12], Sun [13], Zhou and Zhou [14] have dealt with the similar questions of convergence of these localized operators. However, these researchers have to depend on the strong conditions of function approximated while obtaining their results.…”