Approximation by Interpolation Trigonometric Polynomial on the Unitary Group U(2)

YANG Zhu-yuan, YANG Zong-wen

doi:10.13371/j.cnki.chin.q.j.m.2018.04.008

Chinese Quarterly Journal of Mathematics >

2018 , Vol. 33 >Issue 4: 417 - 420

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2018.04.008

Approximation by Interpolation Trigonometric Polynomial on the Unitary Group U(2)

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School of Mathematics and computer Science, Yunnan Minzu University. Department of Mathematics, Yunnan University

YANG Zhu-yuan(1964-), male, native of Yunnan, a professor of Yunnan Minzu university, Ph.D., engages in approximation and its applications. YANG Zong-wen(1965-), male, native of Yunnan, associate professor of Yunnan university, M.S., engages in algebra theory and number theory.

Accepted date: 2017-01-18

Online published: 2020-10-07

Supported by

Natural Science Foundation of China(11361076)；

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Abstract

In this paper we study the approximation of interpolation trigonometric polynomial of a continuous class function on a unitary group U(2), we obtain the Jackson-type error estimation of Bernstein-type operator.

Key words： unitary group; interpolation; approximation

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YANG Zhu-yuan, YANG Zong-wen . Approximation by Interpolation Trigonometric Polynomial on the Unitary Group U(2)[J]. Chinese Quarterly Journal of Mathematics, 2018 , 33(4) : 417 -420 . DOI: 10.13371/j.cnki.chin.q.j.m.2018.04.008

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