Let q>p>0, and consider the Nikolskii constants (Formula presented.) where the norm is with respect to normalized Lebesgue measure on the unit circle. We prove that (Formula presented.) where (Formula presented.), and the inf is taken over all entire functions f of exponential type at most π. We conjecture that the lim sup can be replaced by a limit.
|Number of pages||10|
|Journal||Computational Methods and Function Theory|
|State||Published - 10 Sep 2015|
Bibliographical noteFunding Information:
Research supported by NSF grant DMS136208 and US–Israel BSF grant 2008399.
© 2015, Springer-Verlag Berlin Heidelberg.
- Nikolskii Inequalities
- Paley–Wiener Spaces