由多项式生成的微分算子的若干Landau-Kolmogorov型不等式

IF 0.4 4区数学 Q4 MATHEMATICS

Studia Scientiarum Mathematicarum Hungarica 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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引用次数: 0

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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来源期刊

Studia Scientiarum Mathematicarum Hungarica 数学-数学

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The journal publishes original research papers on various fields of mathematics, e.g., algebra, algebraic geometry, analysis, combinatorics, dynamical systems, geometry, mathematical logic, mathematical statistics, number theory, probability theory, set theory, statistical physics and topology.