Multivariate Bernstein inequalities for entire functions of exponential type in Lp(Rn) $L^{p}(\mathbb{R}^{n})$ (0<p<1) $(0< p< 1)$

Multivariate Bernstein inequalities for entire functions of exponential type in Lp(Rn) $L^{p}(\mathbb{R}^{n})$ (0<p<1) $(0< p< 1)$

Abstract In (Rahman and Schmeisser in Trans. Amer. Math. Soc. 320: 91–103, 1990), the authors prove that the classical Bernstein inequality also holds for 0<p≤1 $0< p\le 1$. We extend their result for a differential operator induced by polynomials and find the several equivalent conditions to...

Full description

Bibliographic Details
Main Authors: Ha Huy Bang, Vu Nhat Huy, Kyung Soo Rim
Format: Article
Language:English
Published: SpringerOpen 2019-08-01
Series:Journal of Inequalities and Applications
Subjects:
Bernstein’s inequality
Paley–Wiener theorem
Fourier transform
Online Access:http://link.springer.com/article/10.1186/s13660-019-2167-7

Similar Items

Similar Items