Open AccessOn inequalities for $L_p$-norms of fractional derivatives 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 - 10.15421/240704
Subject(s) - inequality , domain (mathematical analysis) , mathematics , fractional calculus , metric (unit) , pure mathematics , mathematical analysis , economics , operations management
We obtain new inequalities for fractional Marchaud derivatives of functions defined on the whole real domain, in integral metric ($1 \leqslant p < \infty$); for $p = 1$ we establish the sharpness of obtained inequalities.