Abstract
We introduce a Kantorovich-Stancu type modification of a generalization of Szasz operators defined by means of the Brenke type polynomials and obtain approximation properties of these operators. Also, we give a Voronovskaya type theorem for Kantorovich-Stancu type operators including Gould-Hopper polynomials.
Highlights
For each positive n and f ∈ CB([0, ∞)) or C([0, ∞)) ∩ E, the Szasz-Mirakyan operators defined by Sn (f; x) := ∞ e−nx ∑ k=0k k! f ( k n ) (1)
We introduce a Kantorovich-Stancu type modification of a generalization of Szasz operators defined by means of the Brenke type polynomials and obtain approximation properties of these operators
Ismail [15] presented another generalization of Szasz operators by means of Sheffer polynomials, which involves the operators (1) defined by Jakimovski and Leviatan in [14]
Summary
A Kantorovich-Stancu Type Generalization of Szasz Operators including Brenke Type Polynomials. We introduce a Kantorovich-Stancu type modification of a generalization of Szasz operators defined by means of the Brenke type polynomials and obtain approximation properties of these operators. We give a Voronovskaya type theorem for KantorovichStancu type operators including Gould-Hopper polynomials
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