Open AccessInequalities of Kolmogorov type for fractional derivatives of multivariable functions
Author(s) -
В. Ф. Бабенко,
T.V. Matveeva
Publication year - 2021
Publication title -
researches in mathematics
Language(s) - English
Resource type - Journals
eISSN - 2664-5009
pISSN - 2664-4991
DOI - 10.15421/240801
Subject(s) - lipschitz continuity , mathematics , inequality , multivariable calculus , fractional calculus , norm (philosophy) , type (biology) , pure mathematics , derivative (finance) , mathematical analysis , economics , ecology , control engineering , political science , law , financial economics , engineering , biology
We prove new sharp inequality of Kolmogorov type that estimates the norm of mixed fractional Marchaud derivative of n-variable function by C-norm of this function and its norms in Lipschitz spaces.