In this work, we have studied the issue of approximation of functions from Morrey
space ; by rational functions on a large group of curves,
which called Dini-smooth curves. Moreover, approximation of functions from Morrey
Smirnov space defined on a finite domain with a boundary belonging to Dini- smooth
curves by polynomials is obtained.
We study in this paper one of functional analysis problems, involved with
construction a new class of functions, denoted by . The definition of the new
class depends on definition of Lebesgueclass of functions and on the Holder clas .
We study the
relation between the new class and approximation of the new class
to rational functions.
The aim of this research is to present the two new classes of complex functions . The first class is denoted , and the second one is denoted. The definition of both of them depends on the famous Lebesgue class ,and orlicz class .The relationship bet
ween the two new classes the two classes is studied. This study gives some properties .
Finally, this study is used for approximation of the class on group of wide curves.
This research aimed to define a new class of complex functions , which depends in its definition on the definition of famous Holder class. We studied the relation between the new and Holder classes, then we proved some properties of the class.
We fi
nally applied this study to approximate the class of complex functions on closed curves , which belong to a wide class of curves.
