Quasi-interpolation Representation and Sampling Recovery of Multivariate Functions
Nguyen Manh Cuong
,
Mai Xuan Thao
In this paper, we prove a multivariate generalization of the quasi-interpolation representation of functions in Besov-type spaces by B-spline series with some equivalent discrete quasi-norms. Moreover, by using this representation, we construct linear sampling methods which give the asymptotic order of optimal linear sampling methods.
Viện Toán học, Viện Hàn lâm Khoa học và Công nghệ Việt Nam
Địa chỉ: Số 18 đường Hoàng Quốc Việt, quận Cầu Giấy, Hà Nội
Điện thoại: 024 37563474 - Fax: 024 37564303
Email: vientoan@math.ac.vn
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select * from `journals` where `jour_alias` = 'quasi-interpolation-representation-and-sampling-recovery-of-multivariate-functions' and `jour_year` = '2018' and `jour_exp` = '43' limit 1
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