Voronovskaya type asymptotic approximation by modified Gamma operators

摘要

In this paper we deal with the following modified Gamma operatorsAn(f;x)=∫0∞Kn(x,t)f(t)dt,defined for any f for which the last integral is convergent, whereKn(x,t)=(2n+3)!n!(n+2)!·tn·xn+3(x+t)2n+4,x,t∈(0,∞).We study some direct results in asymptotic approximation.