Discrete Hardy's type inequalities and structure of discrete class of weights satisfy reverse Hölder's inequality

IF 0.9 4区 数学 Q2 MATHEMATICS Mathematical Inequalities & Applications Pub Date : 2021-01-01 DOI:10.7153/MIA-2021-24-36
S. Saker, Jifeng Chu
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引用次数: 0

Abstract

In this paper, we will prove a new discrete weighted Hardy’s type inequality with different powers. Next, we will apply this inequality to prove that the forward and backward propagation properties (self-improving properties) for the general discrete class Bp,q of weights that satisfy the reverse Hölder inequality hold. As special cases, we will deduce the self-improving properties of discrete Gehring and Muckenhoupt weights. An example is considered for illustrations. Mathematics subject classification (2010): 26D07, 40D25, 42C10 43A55,46A35, 46B15.
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离散Hardy型不等式和离散权重类的结构满足逆Hölder不等式
本文将证明一个新的不同幂次的离散加权Hardy型不等式。接下来,我们将应用这个不等式来证明一般离散类Bp,q的权重满足反向Hölder不等式的正向和反向传播性质(自改进性质)成立。作为特殊情况,我们将推导离散Gehring权值和Muckenhoupt权值的自改进性质。考虑一个例子来说明。数学学科分类(2010):26D07、40D25、42C10、43A55、46A35、46B15。
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来源期刊
CiteScore
2.30
自引率
10.00%
发文量
59
审稿时长
6-12 weeks
期刊介绍: ''Mathematical Inequalities & Applications'' (''MIA'') brings together original research papers in all areas of mathematics, provided they are concerned with inequalities or their role. From time to time ''MIA'' will publish invited survey articles. Short notes with interesting results or open problems will also be accepted. ''MIA'' is published quarterly, in January, April, July, and October.
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