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变动端点的Hermite-Fejér插值 被引量:1

HERMITE-FEJER INTERPOLATION WITH MOVED END POINTS
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摘要 讨论当插值瑞点发生变化时,基于第一类Chebyshev结点的Hermite-Fejér插值对连续函数的收敛性。所得的结论包括了Bojanic,Sexema. Bojanic-Prasad-Sexema的结果。 The convergance properties of Hermite-Fejer interpolation with moved end points, based on the first kind chebyshev nodes for the continuous functions, are discussed. The results of Bojanic,Sexema, and Bojanic-Prasad-Sexema are extended.
出处 《广西师范大学学报(自然科学版)》 CAS 1991年第2期26-36,共11页 Journal of Guangxi Normal University:Natural Science Edition
关键词 端点 第一类 结点 插值 CHEBYSHEV the first kind chebyshev nodes Hermite-Fejer interpolation approximation order divergence
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参考文献1

  • 1谢庭藩.近两三年Hermite插值逼近之研究[J]数学进展,1987(04).

同被引文献12

  • 1沈燮昌.多项式插值(一)——Lagrange插值[J]数学进展,1983(03).
  • 2Zhu Guohua. Degree of approximation of Hermite-Fejer interpolation based on the zeros of Legendre polynomial and its derivative[J] 1990,Approximation Theory and its Applications(1):32~45
  • 3P. Vértesi. Hermite-Fejér interpolations of higher order. I[J] 1989,Acta Mathematica Hungarica(1-2):135~152
  • 4Y. E. Muneer. On lagrange and hermite interpolation. I[J] 1987,Acta Mathematica Hungarica(3-4):293~305
  • 5V. K. Dzjadyk,V. V. Ivanov. On asymptotics and estimates for the uniform norms of the Lagrange interpolation polynomials corresponding to the Chebyshev nodal points[J] 1983,Analysis Mathematica(2):85~97
  • 6P. Vértesi. Hermite-Fejér type interpolations. IV (Convergence criteria for Jacobi abscissas)[J] 1982,Acta Mathematica Academiae Scientiarum Hungaricae(1-3):83~93
  • 7Catherine Balázs. Approximation inL 2-space by interpolatory type operators[J] 1980,Acta Mathematica Academiae Scientiarum Hungaricae(3-4):403~408
  • 8P. Vértesi. ?-normal point systems[J] 1979,Acta Mathematica Academiae Scientiarum Hungaricae(3-4):267~277
  • 9P. Vértesi. Hermite-Fejér type interpolations. III[J] 1979,Acta Mathematica Academiae Scientiarum Hungaricae(1-2):67~84
  • 10P. Vértesi. On the divergence of certain Hermite-Fejér interpolation[J] 1978,Periodica Mathematica Hungarica(3):249~254

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