Add to ORKGThe study deals with classes of functions uniformly approximated in closed subsets of the region by analytical in the region functions. The work is aimed at studying the properties of classes of uniformly approximated functions, the relation of the uniqueness problem with the problems on a possibility of a tangential approximation, application of the theorems on approximation. The known Wolf method in modified. The Gonchar hypothesis is confirmed. New generalizations of the maximum principle and Mittag-Leffler and Weierstrass theorems are received. The results can be used in the theory of approximation and the theory of distribution of values of analytical functions and their applicationsAvailable from VNTIC / VNTIC - Scientific & Technical...
Investigations in the field of the approximation theory of real-valued functions have been held in t...
AbstractA general theory of uniform approximation with rational functions having negative poles is d...
The theory of approximation of functions is one of the central branches of mathematical analysis [.....
Abstract. For a functions f, continuous on a closed strip S and holomorphic on its interior, we disc...
A thorough, self-contained and easily accessible treatment of the theory on the polynomial best appr...
We show several theorems on uniform approximation of functions. Each of them is based on the choice ...
The investigation of approximative properties of linear methods for the Fourier series summation is ...
The general theory of non-linear uniform approximation has been investigated only in the last few y...
A problem of a constructive description of functional classes in terms of a possible rate of approx...
Problems of the function best approximation in L2 infinity 1 - norm by polynomyals according to GT-s...
The aim of this thesis is derive a set of polynomials defined on simply connected domains, the Faber...
AbstractSome rational approximations which share the properties of Padé and best uniform approximati...
The approximation theory contains many statements where the rate of approximation of a function by ...
This book presents the evolution of uniform approximations of continuous functions. Starting from th...
A function, analytical in some finite simply connected region is considered in the paper aiming at t...
Investigations in the field of the approximation theory of real-valued functions have been held in t...
AbstractA general theory of uniform approximation with rational functions having negative poles is d...
The theory of approximation of functions is one of the central branches of mathematical analysis [.....
Abstract. For a functions f, continuous on a closed strip S and holomorphic on its interior, we disc...
A thorough, self-contained and easily accessible treatment of the theory on the polynomial best appr...
We show several theorems on uniform approximation of functions. Each of them is based on the choice ...
The investigation of approximative properties of linear methods for the Fourier series summation is ...
The general theory of non-linear uniform approximation has been investigated only in the last few y...
A problem of a constructive description of functional classes in terms of a possible rate of approx...
Problems of the function best approximation in L2 infinity 1 - norm by polynomyals according to GT-s...
The aim of this thesis is derive a set of polynomials defined on simply connected domains, the Faber...
AbstractSome rational approximations which share the properties of Padé and best uniform approximati...
The approximation theory contains many statements where the rate of approximation of a function by ...
This book presents the evolution of uniform approximations of continuous functions. Starting from th...
A function, analytical in some finite simply connected region is considered in the paper aiming at t...
Investigations in the field of the approximation theory of real-valued functions have been held in t...
AbstractA general theory of uniform approximation with rational functions having negative poles is d...
The theory of approximation of functions is one of the central branches of mathematical analysis [.....