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On Hardy-Pachpatte-Copson's inequalities.
Chang-Jian Zhao1, Wing-Sum Cheung2
1Department of Mathematics, China Jiliang University, Hangzhou 310018, China.
Thescientificworldjournal
|April 30, 2014
Summary
This study introduces novel inequalities analogous to Hardy-Pachpatte-Copson inequalities. These new findings generalize and encompass several recent mathematical results in the field.
Area of Science:
- Mathematical Analysis
- Inequalities Theory
Background:
- Hardy-Pachpatte-Copson inequalities are fundamental in analysis.
- Recent advancements have focused on refining and extending these inequalities.
Purpose of the Study:
- To establish new inequalities of the Hardy-Pachpatte-Copson type.
- To demonstrate that these new inequalities generalize existing results.
Main Methods:
- Development of novel mathematical techniques for inequality formulation.
- Comparative analysis to show generalization over prior work.
Main Results:
- A new class of Hardy-Pachpatte-Copson type inequalities has been successfully established.
- The derived inequalities offer a broader framework, encompassing specific recent findings.
Conclusions:
- The newly established inequalities provide a significant contribution to the field.
- These results unify and extend previous research on integral inequalities.
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