Weighted simultaneous approximation with Baskakov type operators

By A. López-Moreno. 2004

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Statistical approximation properties of q-Baskakov-Kantorovich operators (2009, background): “The weighted modulus of smoothness (f;·) possesses the following properties (see [ 15 ]).”
On q-Parametric Szász-Mirakjan Operators (2010, background): “I would like to note that the introduction of the step h in the weight function in the definition of the weighted modulus of continuity already appears in [10], [ 19 ], and for instance, for second order modulus of continuity in [2].”