关于L2ρ[-α,α]中G.G.Lorentz型的四个猜想
관우L2ρ[-α,α]중G.G.Lorentz형적사개시상
On the Four Conjectures of G G Lorentz Type in Lp2ρ[-α,α]
  • 万方数据
    数学季刊（英文版） 수학계간（영문판）
    CHINESE QUARTERLY JOURNAL OF MATHEMATICS
    2009年 3期 343-348 ,共6页

    王元恒%杨文善

    왕원항%양문선



    best approximation%Lorentz's conjecture%different norms%property of polynomial


    In the space C[-1,1],G G Lorentz proposed four conjectures on the properties of the polynomials of the best approximation in 1977,1978 and 1980.The present paper transplants the four conjectures in the space L2ρ[-α,α] and proves them being all right in only one theorem under the corresponding conditions,although each of the original conjectures is very difficulty.
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