Generalized finite variation of functions About spaces

Author: Ani Ozbetelashvili
Co-authors: Ani Ozbetelashvili
Keywords: Generalized finite variation functions, variable exponential variation
Annotation:

The article is of a research nature and introduces the final Wiener variance. Classification of a class of celestial functions when the exponent is a non-constant function. It is shown that this class can be defined even when Unlike Castillo, Moriente and From a similar class provided by Rafiero with a variable index, which Members only margin. Also shown to be new The class is not much less than the class of Castillo, Morientes and Raffiero. In addition, a fenced exhibit was built, for which Castillo Morientes And the Rafiero class is its own subset of the newly defined feature class. It is shown that this class does not represent the functional space of the Bennett banquet And in Sharpe's opinion. Some interesting features of the newly introduced class have also been identified. So that's a feature.

Lecture files:

განზოგადებული სასრული ვარიაციის ფუნქციათა სივრცეების შესახებ [ka]