Integral analog of one generalization of the Hardy inequality and its applications

被引：0
|
作者：
Mulyava O.M. [1 ]
机构：
[1] Kyiv National University of Food Technology, Kyiv
来源：
Ukrainian Mathematical Journal | 2006年 / 58卷 / 9期
关键词：
Continuous Function; Convex Function; Russian Translation; Maximum Point; Mathematical Journal;
D O I：
10.1007/s11253-006-0143-0
中图分类号：
学科分类号：
摘要：
Under certain conditions on continuous functions μ, λ, a, and f, we prove the inequality ∫0y μ (x)λ (x)f(∫0xλ (t)a(t)dt\∫0 xλ (t)dt)dx ≤ K ∫0y μ (x)λ (x)f(a(x)) dx, y ≤ ∞, and describe its application to the investigation of the problem of finding conditions under which Laplace integrals belong to a class of convergence. © Springer Science+Business Media, Inc. 2006.
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页码：1441 / 1447
页数：6
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