The purpose of this paper is to derive the inequalities in connection with PostWidder operators， the result is corresponding to Wickeren in connection with Bernstein polynomials.
In the present article, we deal with the so-called overconvergence phenomenon in C of a slightly modified Post-Widder operator of real variable, that is with the extension of its approximation properties from the real...In the present article, we deal with the so-called overconvergence phenomenon in C of a slightly modified Post-Widder operator of real variable, that is with the extension of its approximation properties from the real axis in the complex plane.In this sense, error estimates in approximation and a quantitative Voronovskaya-type asymptotic formula are established.展开更多
基金Supported by the Natural Science Foundation of Hebei Province(101090)Supported by the Natural Science Foundation of China(19901007)
文摘The purpose of this paper is to derive the inequalities in connection with PostWidder operators， the result is corresponding to Wickeren in connection with Bernstein polynomials.
文摘In the present article, we deal with the so-called overconvergence phenomenon in C of a slightly modified Post-Widder operator of real variable, that is with the extension of its approximation properties from the real axis in the complex plane.In this sense, error estimates in approximation and a quantitative Voronovskaya-type asymptotic formula are established.
