Polynomial Approximation of Anisotropic Analytic Functions of Several Variables

Measures of Growth and Approximation of Analytic Functions in Several Complex Variables

Winiarski [5] has studied the rates of decay of Lagrange interpolation error for entire functions in several complex variables. These results do not give any information about the rates of decay of above error when function is not necessarily entire. In this paper the authors have worked out this problem. Refer ences Cartan, H. and Thullen, P. , Zur Theorie der Singularitaten der Funktion en me...

Approximation of analytic functions of several variables by linear k-positive operators

We investigate the approximation of analytic functions of several variables in polydiscs by the sequences of linear k-positive operators in the Gadjiev sense.

Approximation of smooth periodic functions in several variables

Polynomial operators for spectral approximation of piecewise analytic functions

We construct a sequence of globally defined polynomial valued operators, using linear combinations of either the coefficients in the orthogonal polynomial expansion of the target function with respect to a very general mass distribution μ or the values of the function at suitable points on [−1, 1], so that the degree of approximation by these operators globally is commensurate with the degree o...

Analytic Combinatorics in Several Variables

Dedication To the memory of Philippe Flajolet, on whose shoulders stands all of the work herein.