Equivalence theorem for additive inequalities of Kolmogorov type

A.Ye. Haidabura (Oles Honchar Dnipropetrovsk National University)
V.A. Kofanov (Oles Honchar Dnipropetrovsk National University), http://orcid.org/0000-0003-0392-2257


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 $$$L_s$$$.


additive inequalities; equivalence theorem


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