Approximation of functions on the Sobolev space with a Gaussian measure

来源 :中国科学：数学英文版 | 被引量 : 0次 | 上传用户：signet886

【摘要】

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We discuss the best approximation of periodic functions by trigonometric polynomials and the approximation by Fourier partial summation operators, Valle-Pouss

【出处】

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中国科学：数学英文版

【发表日期】

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2010年2期

【关键词】

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AVERAGE WIDTH best APPROXIMATION APPROXIMATION by linear OPERATORS SOBOLEV space

【基金项目】

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supported by National Natural Science Foundation of China(Grant No. 10871132),Beijing Natural Science Foundation (Grant No. 1102011),Key Programs of Beijing Municipal Education Commission (Grant No. K

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We discuss the best approximation of periodic functions by trigonometric polynomials and the approximation by Fourier partial summation operators, Valle-Poussin operators, Ces`aro operators, Abel opera-tors, and Jackson operators, respectively, on the So

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Approximation of functions on the Sobolev space with a Gaussian measure

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