Open AccessOn one inequality of Kolmogorov type for fractional derivatives
Author(s) -
Ye.V. Turchin
Publication year - 1998
Publication title -
researches in mathematics
Language(s) - English
Resource type - Journals
eISSN - 2664-5009
pISSN - 2664-4991
DOI - 10.15421/249818
Subject(s) - mathematics , type (biology) , inequality , pure mathematics , fractional calculus , algebra over a field , discrete mathematics , mathematical analysis , ecology , biology
We prove two generalizations of Kashin-Besov inequality for fractional derivatives. The corollaries of proved theorems are some analogues of Paly theorem, which allow to give lower bounds for polynomials by orthogonal systems in $L_p [0, 1]$ spaces for $p \in (0, 1)$.