论 Lp(μ) 的巴纳希平滑模量和高毕达哥拉斯常数

IF 1.2 3区数学 Q1 MATHEMATICS

Journal of Mathematical Analysis and Applications Pub Date : 2024-11-09 DOI:10.1016/j.jmaa.2024.129046

Alireza Amini-Harandi, Malihe Peyvaste

引用次数: 0

摘要

在本文中，我们首先计算了 Lp(μ) 的巴纳希平滑度模量，这给出了巴纳希在 1986 年提出的问题的一个解决方案（见 Banas (1986) [1] 的问题 4）。然后，我们引入并计算了 Lp(μ) 的高毕达哥拉斯常数，扩展并改进了 Gao (2006) [3] 的一些主要结果。

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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On Banaś modulus of smoothness and Gao Pythagorean constant of Lp(μ)

In this paper, we first compute the Banaś modulus of smoothness of

L_{p} (μ)

, which gives a solution to the problem posed by Banaś in 1986 (see Problem 4 of Banas (1986) [1]). Then, we introduce and calculate Gao Pythagorean constant of

L_{p} (μ)

, which extends and improves some main results of Gao (2006) [3].

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来源期刊

Journal of Mathematical Analysis and Applications 数学-数学

CiteScore

2.50

自引率

7.70%

发文量

790

审稿时长

6 months

期刊介绍： The Journal of Mathematical Analysis and Applications presents papers that treat mathematical analysis and its numerous applications. The journal emphasizes articles devoted to the mathematical treatment of questions arising in physics, chemistry, biology, and engineering, particularly those that stress analytical aspects and novel problems and their solutions. Papers are sought which employ one or more of the following areas of classical analysis: • Analytic number theory • Functional analysis and operator theory • Real and harmonic analysis • Complex analysis • Numerical analysis • Applied mathematics • Partial differential equations • Dynamical systems • Control and Optimization • Probability • Mathematical biology • Combinatorics • Mathematical physics.