Open AccessOn one generalization of Gross-Sobolev logarithnic inequality
Author(s) -
Sh. M. Nasibov,
Sh. M. Nasibov
Publication year - 2019
Publication title -
doklady akademii nauk. rossijskaâ akademiâ nauk
Language(s) - English
Resource type - Journals
ISSN - 0869-5652
DOI - 10.31857/s0869-565248717-10
Subject(s) - generalization , mathematics , inequality , sobolev space , sobolev inequality , pure mathematics , mathematical analysis
We prove an exact integral inequality by means of which one interpolational Sobolev inequality is derived. One generalization of logarithmics Sobolev inequality based on interpolational Sobolev inequality is offered.