NSF of China (11571089, 11871191) ; NSF of Hebei Province (2012205028; ZD2019053); Science foundation of Hebei Normal University
The Meyer-König and Zeller operator is one of the most challenging operators. Sometimes the study of its properties will rely on the weighted approximation by Baskakov operator. In this paper, this relation is ex...
The NSF (10571040) of China;NSF (L2010Z02) of Hebei Normal University
In this paper we give a strong converse inequality of type B in terms of unified K-functional Kλα (f, t2) (0 ≤λ≤ 1, 0 〈 α 〈 2) for the Meyer-Knig and Zeller-Durrmeyer type operators.
We prove some approximation properties of generalized Meyer-Konig and Zeller operators for differentiable functions in polynomial weighted spaces. The results extend some results proved in [1-3,7-16].
Supported by the Natural Science Foundation of Beijing(1072006)
In this paper, we derive the complete asymptotic expansion of classical Baskakov operators Vn (f;x) in the form of all coefficients of n^-k, k = 0, 1... being calculated explic- itly in terms of Stirling number of t...
Supported by the Shanxi Province Youth Foundation of China,Grant 20011005.
We point out that the Meyer-Konig and Zeller operator Mn (f;x) are unbounded in usual Jacobi weighted norm at first, and then we consider the weighted approximation by Mn(f;x) by a new norm and obtain the characteriza...