We study in this research one of the functional analysis problems,it is the inclusion of functional spaces. Especially we study the inclusion of spaces which branched form Holder spaces.
Alsowe study the inclusion of spaces whichdepends in it definition onOrlicz and Lebesgue spaces and in anespecial case this space is generalization to them.
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.
