Sharp weighted Hölder mean bounds for the complete elliptic integral of the second kind

IF 0.7 3区数学 Q2 MATHEMATICS

Integral Transforms and Special Functions Pub Date : 2022-12-15 DOI:10.1080/10652469.2022.2155819

Miao-Kun Wang, Zai-Yin He, Tie-hong Zhao, Qi Bao

引用次数: 0

Abstract

ABSTRACT This paper deals with the complete integral of the second kind approximated by the weighted Hölder mean. In general, there are two ways to be considered. One is to find the best exponential parameters with a given weight, and the other is to find the optimal weights with a given exponential order. The second method will be used in this paper where we find the sharp weighted Hölder mean bounds for in a sense of weight. As a result, we also provide a new method to find the optimal Hölder mean bounds for .

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第二类完全椭圆积分的Sharp加权Hölder均值界

本文讨论了用加权Hölder均值逼近的第二类完全积分。一般来说，有两种方式可以考虑。一种是找到具有给定权重的最佳指数参数，另一种是寻找具有给定指数阶的最优权重。第二种方法将在本文中使用，其中我们找到了在权重意义上的尖锐加权Hölder均值界。因此，我们还提供了一种新的方法来寻找的最优Hölder均值界。

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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来源期刊

Integral Transforms and Special Functions 数学-数学

CiteScore

2.20

自引率

20.00%

发文量

审稿时长

6-12 weeks

期刊介绍： Integral Transforms and Special Functions belongs to the basic subjects of mathematical analysis, the theory of differential and integral equations, approximation theory, and to many other areas of pure and applied mathematics. Although centuries old, these subjects are under intense development, for use in pure and applied mathematics, physics, engineering and computer science. This stimulates continuous interest for researchers in these fields. The aim of Integral Transforms and Special Functions is to foster further growth by providing a means for the publication of important research on all aspects of the subjects.