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In the present paper, we study a new type of Bernstein operators depending on the parameter λ∈[−1,1]$\lambda\in[-1,1]$. The Kantorovich modification of these sequences of linear positive operators will be considered.… Click to show full abstract
In the present paper, we study a new type of Bernstein operators depending on the parameter λ∈[−1,1]$\lambda\in[-1,1]$. The Kantorovich modification of these sequences of linear positive operators will be considered. A quantitative Voronovskaja type theorem by means of Ditzian–Totik modulus of smoothness is proved. Also, a Grüss–Voronovskaja type theorem for λ-Kantorovich operators is provided. Some numerical examples which show the relevance of the results are given.
Keywords:
type;
approximation properties;
kantorovich operators;
properties kantorovich
Journal Title: Journal of Inequalities and Applications
Year Published: 2018
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Journal Title: Journal of Inequalities and Applications
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!