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On Converse Theorem of Best Approximation by Polynomials in Bergman Spaces H_q~p(p>0,q>1)
作者姓名:邢富冲
作者单位:Department of
基金项目:This paper is a part of the author's series of letures at the Mathematical Institute of the Hungarian Academy of Sciences while visiting Hungary sent by the state Education Committee,the People's Republic of China.
摘    要:A Bernstein type theorem and a converse theorem of best approximation by polynomials inBergman spaces H_q~p(p>0,q>1) are proved.Some proofs and results in 1] are in proved.


On Converse Theorem of Best Approximation by Polynomials in Bergman Spaces H_q~p(p>0,q>1)
Xing Fuchong.On Converse Theorem of Best Approximation by Polynomials in Bergman Spaces H_q~p(p>0,q>1)[J].Chinese Quarterly Journal of Mathematics,1993(4).
Authors:Xing Fuchong
Abstract:A Bernstein type theorem and a converse theorem of best approximation by polynomials in Bergman spaces H_q~p(p>0,q>1) are proved.Some proofs and results in 1] are in proved.
Keywords:Bergman spaces H_q~p(p>0  q>1)  integral modulus of continuity  Bernsterin type inequality  best approximation by polynomial  converse theorem
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