Approximation by multivariate Kantorovich Kotelnikov operators

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:456

Article

Kolomoitsev, Yu.^1,2  Skopina, M.³ 

[1] Univ Lubeck, Inst Math, Lubeck, Germany

[2] NAS Ukraine, Inst Appl Math & Mech, Slovyansk, Ukraine

[3] St Petersburg State Univ, St Petersburg, Russia

关键词: Kantorovich-Kotelnikov operator;    Band-limited function;    Approximation order;    Modulus of smoothness;    Matrix dilation;   

DOI  :  10.1016/j.jmaa.2017.06.081

来源: Elsevier

【 摘 要 】

Approximation properties of multivariate Kantorovich Kotelnikov type operators generated by different band-limited functions are studied. In particular, a wide class of functions with discontinuous Fourier transform is considered. The L-p-rate of convergence for these operators is given in terms of the classical moduli of smoothness. Several examples of the Kantorovich Kotelnikov operators generated by the sinc-function and its linear combinations are provided. (C) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

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