Open AccessEquivalence theorem for additive inequalities of Kolmogorov type
Author(s) -
A.Ye. Haidabura,
В. А. Кофанов
Publication year - 2016
Publication title -
researches in mathematics
Language(s) - English
Resource type - Journals
eISSN - 2664-5009
pISSN - 2664-4991
DOI - 10.15421/241603
Subject(s) - equivalence (formal languages) , mathematics , inequality , type (biology) , pure mathematics , class (philosophy) , interval (graph theory) , constant (computer programming) , equivalence class (music) , discrete mathematics , combinatorics , mathematical analysis , computer science , ecology , artificial intelligence , biology , programming language
We prove the equivalence theorem for additive inequalities on a finite interval. Besides, we describe a pair of constants so that the additive inequalities with that constants are valid on the whole class of functions $L_s$.