Approximation in Smirnov-Orlicz classes

Approximation and Moduli of Fractional Orders in Smirnov-orlicz Classes

In this work we investigate the approximation problems in the Smirnov-Orlicz spaces in terms of the fractional modulus of smoothness. We prove the direct and inverse theorems in these spaces and obtain a constructive descriptions of the Lipschitz classes of functions defined by the fractional order modulus of smoothness, in particular. 1. Preliminaries and introduction A function M (u) : R → R ...

Best Simultaneous Approximation in Orlicz Spaces

Analytic Functions in Smirnov Classes E with Real Boundary Values

Smirnov domains with non-smooth boundaries do admit non-trivial functions of Smirnov class with real boundary values. We will show that the existance of functions in Smirnov classes with real boundary values is directly dependent on the boundary characteristics of a Smirnov domain. Mathematics Subject Classification (2000). 30H10, 30H15.

Structure in Approximation Classes

The study of the approximability properties of NP-hard optimization problems has recently made great advances mainly due to the results obtained in the field of proof checking. The last important breakthrough proves the APX-completeness of several important optimization problems and thus reconciles “two distinct views of approximation classes: syntactic and computational” [S. Khanna et al., in ...

ComputingStructure in Approximation Classes ?

The study of the approximability properties of NP-hard optimization problems has recently made great advances mainly due to the results obtained in the eld of proof checking. The last important breakthrough shows the APX-completeness of several important optimization problems is proved and thus reconciles`two distinct views of approximation classes: syntactic and computational'. In this paper w...