Scholarlink

<p>In this paper, we prove various sharp multi-dimensional Hardy-type integral inequalities such as Copson, Leindler and Bennett inequalities with variants. We also achieve several new multi-dimensional sharp inequalities of Hardy-type and their variants by using higher order generalized <i>Erdélyi-Kober</i>, <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\((k, \nu )\)</EquationSource> </InlineEquation>-<i>Riemann-Liouville</i>, and <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\((k, \nu )\)</EquationSource> </InlineEquation>-<i>Weyl</i> fractional integral operators. We consider an approach of scale distribution defined by a probability density function to get the desired results.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Multi-Dimensional Sharp Hardy-Type Inequalities with Variants

  • 期刊论文

  • 发表日期：

    2025年10月27日

查看全文
  • Atanu Manna

摘要

In this paper, we prove various sharp multi-dimensional Hardy-type integral inequalities such as Copson, Leindler and Bennett inequalities with variants. We also achieve several new multi-dimensional sharp inequalities of Hardy-type and their variants by using higher order generalized Erdélyi-Kober, \((k, \nu )\) -Riemann-Liouville, and \((k, \nu )\) -Weyl fractional integral operators. We consider an approach of scale distribution defined by a probability density function to get the desired results.