| QUASI-MODULUS OF CONTINUITY AND BEST APPROXIMATIONS |
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| 引用本文： | QiuShuxi. QUASI-MODULUS OF CONTINUITY AND BEST APPROXIMATIONS[J]. 数学研究, 1994, 27(1): 154-157 |
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| 作者姓名： | QiuShuxi |
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| 作者单位： | Dept.ofMath.,XiamenUniv.Xiamen361005 |
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| 摘 要： | In this paper a concept of the quasi-modulus of continuity of the functions of L^2(T) on the unit circle T is introduced, and the relations between it and modulus of continuity are discussed. And we give a sufficient condition such that the best uniform approxi marion of the continuous functions on T is continuous.
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| 关 键 词： | 准系数连续 最佳逼近 唯一循环 哈迪空间 |
QUASI-MODULUS OF CONTINUITY AND BEST APPROXIMATIONS |
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| QiuShuxi. QUASI-MODULUS OF CONTINUITY AND BEST APPROXIMATIONS[J]. Journal of Mathematical Study, 1994, 27(1): 154-157 |
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| Authors: | QiuShuxi |
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| Affiliation: | Dept.ofMath.,XiamenUniv.Xiamen361005 |
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| Abstract: | In this paper a concept of the quasi-modulus of continuity of the functionsof L' (T) on the unit circle T is introduced, and the relations between it and modulus of continuityare discussed. And we give a sufficient condition such that the best uniform approxi mation of thecontinuous functions on T is continuous. |
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| Keywords: | Quasi-modulus of continuity Best approximation Lipschitz classes. |
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