Half-linear dynamic equations and investigating weighted Hardy and Copson inequalities

[摘要] In this paper, we employ some algebraic equations due to Hardy and Littlewood to establish some conditions on weights in dynamic inequalities of Hardy and Copson type. For illustrations, we derive some dynamic inequalities of Wirtinger, Copson and Hardy types and formulate the classical integral and discrete inequalities with sharp constants as particular cases. The results improve some results obtained in the literature.

[学科分类] 航空航天科学

[关键词] Hardy’s dynamic inequality;Copson’s dynamic inequality;Half-linear equations;Time scales