简介:由于Newman有理算子对|x|逼近效果较好,所以考虑利用Newman-α型有理算子对|x|~α进行逼近.构造Newman-α型有理算子,讨论Newman-α算子在Chebyshev结点组下逼近|x|~α的收敛速度,最后得到精确的逼近阶为O(1/(n~αlogn)).该结果包含了α=1时的情形.
简介:Weadoptthefollowingsymbolsandnotations.LetC[0,1]Nbetheclassofallrealcontinuousfunctionsin[0,1]whichhaveNcontinuousderivatives,L[0,1]pbethespaceofrealpthpowerintegrablefunctionson[0,1],andΔk,asusual,betheclassofkthmonotonefunctions.
简介:Usingthemethodofconstruction,withthehelpofinequalities,weresearchtheMuntzrationalapproximationoftwokindsofspecialfunctionclasses,andgivethecorrespondingestimatesofapproximationratesoftheseclassesunderwidelyconditions.BecauseoftheOrliczSpacesisbiggerthancontinuousfunctionspaceandtheLpspace,sotheresultsofthispaperhasacertainexpansionsignificance.