王秀蓮
(天津師范大學(xué) 數(shù)學(xué)科學(xué)學(xué)院,天津 300387)
擬Grünwald插值在Wiener空間下的平均誤差
王秀蓮
(天津師范大學(xué) 數(shù)學(xué)科學(xué)學(xué)院,天津 300387)
討論改進的擬Grünwald插值在Wiener空間下的平均誤差,得到了其于Lp范數(shù)意義下p-平均誤差的弱漸近階,證明了其于Lp范數(shù)意義下是收斂算子列.
Chebyshev多項式;擬Grünwald插值;Lp范數(shù);Wiener空間
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Average errors of quasi-Grünwald interpolation on Wiener space
WANGXiulian
(College of Mathematical Science,Tianjin Normal University,Tianjin 300387,China)
The average errors of modified quasi-Grünwald interpolation are discussed on Wiener space and weakly asymptotic order for thep-average errors ofLp-norm approximation is obtained.It is proved that the quasi-Grünwald interpolation sequence is convergence operator sequence forL p-norm approximation.
Chebyshev polynomials;quasi-Grünwald interpolation;Lp-norm;Wiener space
O174.41
A
1671-1114(2011)01-0025-04
2009-09-20
王秀蓮(1965—),女,副教授,主要從事概率統(tǒng)計方面的研究.
(責(zé)任編校 馬新光)