科研之友
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摘要
In the present paper, we study a new type of Bernstein operators depending on the parameter lambda is an element of [-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 Gruss-Voronovskaja type theorem for lambda-Kantorovich operators is provided. Some numerical examples which show the relevance of the results are given.
- 出版日期2018-8-2
