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In this paper, we establish the following Jackson and Bernstein inequalities for Cpa space:(?)where σ=(α+ (1/p)-1),α > 0,0 < p < ∞. Moreover, these inequalities are used to give characterizations of the approximation spaces resulted from two approximations verpectively by splines with free knots and approximation by rational functions. 相似文献
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刻画具有一定逼近阶的函数空间是逼近论研究的一个重要方面.这方面的古典结果可以追溯到本世纪初D.Jackson和S.Bernstein的工作,他们证明了周期为2π的连续函数在一致范数意义下用阶为n的三角多项式来逼近时,达到阶为E_n(f)=O(n~-a),0相似文献
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