Approximation properties of a Stancu -variate operator of beta type.

Căbulea, Lucia A.; Todea, Mihaela

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We investigate compact operators between approximation spaces, paying special attention to the limit case. Applications are given to embeddings between Besov spaces.

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Approximation by the Bézier variant of the MKZ-Kantorovich operators in the case α < 1

Xiao-Ming Zeng, Vijay Gupta (2009)

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The pointwise approximation properties of the Bézier variant of the MKZ-Kantorovich operators ${\hat{M}}_{n, α} (f, x)$ for α ≥ 1 have been studied in [Comput. Math. Appl., 39 (2000), 1-13]. The aim of this paper is to deal with the pointwise approximation of the operators ${\hat{M}}_{n, α} (f, x)$ for the other case 0 < α < 1. By means of some new techniques and new inequalities we establish an estimate formula on the rate of convergence of the operators ${\hat{M}}_{n, α} (f, x)$ for the case 0 < α < 1. In the end we propose the q-analogue of...

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Displaying similar documents to “Approximation properties of a Stancu S -variate operator of beta type.”

Displaying similar documents to “Approximation properties of a Stancu $S$ -variate operator of beta type.”