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A Kind of Extremal Problems 被引量:1

一类极值问题(英文)
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摘要 A kind of extremal problems is discussed and characterizations of its solutions are given. The extremal problem is: Given d,(xo,··· xn) for i = 0,···,n, to find y0<···<yn so that 本文讨论了一类极值并刻划了它的解的特征.该极值问题为:给定d_i(x_0,…,x_n),i=0,…,n,要确定y_0<…<y_n使得f(y_0,…,y_n=sup f(x_0,…,x_n)其中f(x_0,…,x_n):=min d_i(x_0,…,x_n)/sum from j=0 to n d_j(x_0,….x_n).
作者 史应光
出处 《Journal of Mathematical Research and Exposition》 CSCD 1991年第3期447-452,共6页 数学研究与评论(英文版)
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同被引文献8

  • 1P. Erd?s.Some old and new problems in approximation theory: Research problems 95-1[J]. Constructive Approximation . 1995 (3)
  • 2J. Szabados.On a problem of P. Erd?s[J]. Acta Mathematica Academiae Scientiarum Hungaricae . 1966 (1-2)
  • 3P. Erd?s.Problems and results on the theory of interpolation. II[J]. Acta Mathematica Academiae Scientiarum Hungaricae . 1961 (1-2)
  • 4P. Erdos,J. Szabados,A.K. Varma,P. Vertesi.On an Interpolation Theoretical Extremal Problem. Studia Scientiarum Mathematicarum Hungarica . 1994
  • 5G. G. Lorentz,K. Jetter,S. D. Riemenschneider.Birkhoff Interpolation. . 1983
  • 6A.K. Varma,R.B. Saxena.On Birkhoff Quadrature Formulas. Journal of Approximation Theory . 1989
  • 7B.D. Bojanov,D. Braess,N. Dyn.Generalized Gaussian Quadrature Formulas. Journal of Approximation Theory . 1986
  • 8M. Abramowitz,I.A. Stegun.Handbook of Mathematical Functions with Formulas, Graphs and Math-ematical Tables. National Bureau of Standards, Applied Mathematics Series . 1965

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