In the present paper,we have considered the approximation of analytic functions represented by Laplace-Stieltjes transformations using sequence of definite integrals. We have characterized their order and type in term...In the present paper,we have considered the approximation of analytic functions represented by Laplace-Stieltjes transformations using sequence of definite integrals. We have characterized their order and type in terms of the rate of decrease of E;（F,β） where E;（F,β） is the error in approximating of the function F（s） by definite integral polynomials in the half plane Res≤β<α.展开更多
In the present paper, we study the polynomial approximation of entire functions of several complex variables. The characterizations of generalized order and generalized type of entire functions of slow growth are obta...In the present paper, we study the polynomial approximation of entire functions of several complex variables. The characterizations of generalized order and generalized type of entire functions of slow growth are obtained in terms of approximation and interpolation errors.展开更多
The regular solutions of generalized axisymmetric potential equationare called generalized axisymmetric potentials.In this paper,the characterizations of lower order and lower type of entire GASP in terms of their app...The regular solutions of generalized axisymmetric potential equationare called generalized axisymmetric potentials.In this paper,the characterizations of lower order and lower type of entire GASP in terms of their approximation error {En} have been obtained.展开更多
文摘In the present paper,we have considered the approximation of analytic functions represented by Laplace-Stieltjes transformations using sequence of definite integrals. We have characterized their order and type in terms of the rate of decrease of E;（F,β） where E;（F,β） is the error in approximating of the function F（s） by definite integral polynomials in the half plane Res≤β<α.
文摘In the present paper, we study the polynomial approximation of entire functions of several complex variables. The characterizations of generalized order and generalized type of entire functions of slow growth are obtained in terms of approximation and interpolation errors.
文摘The regular solutions of generalized axisymmetric potential equationare called generalized axisymmetric potentials.In this paper,the characterizations of lower order and lower type of entire GASP in terms of their approximation error {En} have been obtained.
