由多项式生成的微分算子的若干Landau-Kolmogorov型不等式

Pub Date : 2021-06-29 DOI:10.1556/012.2021.58.2.1497

V. N. Huy, Nguyễn Ngoc Huy, Chu Van Tiep

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摘要

本文建立了由多项式生成的微分算子的Landau-Kolmogorov型不等式，其中0 < g≤p≤∞，微分算子p (D)由多项式p (x)代入得到。并给出了和的显式形式。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Some Landau–Kolmogorov Type Inequalities for Differential Operators Generated by Polynomials

In this paper, we establish some Landau–Kolmogorov type inequalities for differential operators generated by polynomials in the following formfor all , where 0 < g ≤ p ≤ ∞, and the differential operator P (D) is obtained from the polynomial P (x) by substituting . Moreover, the explicit form of and are given.

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