Open AccessOn extension of functions, being integrable with weight on interval and satisfying conditions of Lipschitz type
Author(s) -
Sergij V. Goncharov
Publication year - 2016
Publication title -
researches in mathematics
Language(s) - English
Resource type - Journals
eISSN - 2664-5009
pISSN - 2664-4991
DOI - 10.15421/241604
Subject(s) - lipschitz continuity , integrable system , mathematics , extension (predicate logic) , interval (graph theory) , type (biology) , pure mathematics , lipschitz domain , mathematical analysis , combinatorics , computer science , ecology , biology , programming language
We show the method to expand functions being integrable with a weight on the interval, and satisfying conditions of integral Lipschitz type, on the whole line. We prove that the differential properties of such functions are kept at the expansion.