Estimates for the norms of fractional derivatives in terms of integral moduli of continuity and their applications |
| |
Authors: | V F Babenko M S Churilova |
| |
Institution: | 1.Dnepropetrovsk,Ukraine |
| |
Abstract: | For functions defined on the entire real axis or a semiaxis, we obtain Kolmogorov-type inequalities that estimate the L
p
-norms (1 ≤ p < ∞) of fractional derivatives in terms of the L
p
-norms of functions (or the L
p
-norms of their truncated derivatives) and their L
p
-moduli of continuity and establish their sharpness for p = 1: Applications of the obtained inequalities are given. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|