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...
Main Authors: | , , |
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Format: | Article |
Language: | English |
Published: |
SpringerOpen
2019-08-01
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Series: | Journal of Inequalities and Applications |
Subjects: | |
Online Access: | http://link.springer.com/article/10.1186/s13660-019-2167-7 |