CONVERGENCE OF DERIVATIVES OF GENERALIZED BERNSTEIN OPERATORS

(整期优先)网络出版时间:2012-02-12
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Inthepresentpaper,weobtainestimationsofconvergenceratederivativesoftheq-BernsteinpolynomialsBn(f,qn;x)approximatingtof′(x)asn→∞,whichisageneralizationofthatrelatingtheclassicalcaseqn=1.Ontheotherhand,westudytheconvergencepropertiesofderivativesofthelimitq-BernsteinoperatorsB∞(f,q;x)asq→1-.