Bernstein-Sikkema算子及其導(dǎo)數(shù)的逼近性質(zhì).pdf

1、河北師范大學(xué)碩士學(xué)位論文BernsteinSikkema算子及其導(dǎo)數(shù)的逼近性質(zhì)姓名：劉雅娜申請學(xué)位級別：碩士專業(yè)：基礎(chǔ)數(shù)學(xué)指導(dǎo)教師：李翠香20040410ApproximationofBernsteinSikkemaOperatorsandtheirDerivativesAbstractInthispaperwewilluseModulusofSmoothnessu：^(，，t)todiscussuniformandpointwisea

2、pproximationonBernstein—SikkemaoperatorsMoreover，wewillgiveallestimateontheirderivativesMainresultsreadasfollows：Theorem1Forf∈c[o，1J，0sAs1，妒(z)=、，石孑兩，onehas‰(加)一，(z胚c(峰2(脅電礦沁))w，掣))(1)Wheno(n)≠0，thesecondtermu(，，里譬)calln

3、otbeomittedTheorem2For，∈c[0，1]，0≤As1，禮≥3，n∈N，onehasI三：(，，z)f≤c扎cP一2(z)叫各(，，扎一；p1一^(茁))，z∈(o，1)(2)Theorem3Let，∈c[0，1】，如@)=mnz妒(z)，赤)～妒0)擊，when0≤a(禮)≤M，0兩2，a(n)≠o(1)，relation‘‘仁”isnottrueTheorem4Let，∈c[o，11，0p2，thenu；(“)=∞