학술논문
Estimates for power quasipolynomials of the A. A. Markov and S. M. Nikolʹskiĭ\ inequality type.
Document Type
Journal
Author
Èdelʹšteĭn, S. L. AMS Author Profile
Source
Subject
46 Functional analysis -- 46E Linear function spaces and their duals
46E30Spaces of measurable functions
46E30
Language
Russian
Abstract
Inequalities of Markov and Nikolʹskiĭ\ type in $L_p$-metrics $(1\leq p\leq\infty)$ are given for power quasipolynomials, i.e., functions of the form $f(x)=\sum_{\gamma\in\Gamma}\sum_{k=0}^{K(\gamma)-1}a_{k,\gamma}x^\gamma(\ln x)^k$, where $\Gamma$ is a finite set of real numbers and $K(\gamma)$ are positive integers. \par \{English translation: Soviet Math. Dokl. {\bf 21} (1980), no. 2, 497--501.\}