Open AccessOn inequalities of Kolmogorov type for fractional derivatives of functions defined on the real domain
Author(s) -
В. Ф. Бабенко,
M. S. Churilova
Publication year - 2021
Publication title -
researches in mathematics
Language(s) - English
Resource type - Journals
eISSN - 2664-5009
pISSN - 2664-4991
DOI - 10.15421/240804
Subject(s) - fractional calculus , inequality , mathematics , derivative (finance) , domain (mathematical analysis) , type (biology) , pure mathematics , mathematical analysis , finance , economics , ecology , biology
We obtain new inequalities that generalize known result of Geisberg, which was obtained for fractional Marchaud derivatives, to the case of higher derivatives, at that the fractional derivative is a Riesz one. The inequality with second higher derivative is sharp.