共 2 条
- [1] Hardy G.H., Littlewood J.E., Polya G., Inequalities, (1948)
- [2] Mulyava O.M., On convergence classes of Dirichlet series, Ukr. Mat. Th, 51, 11, pp. 1485-1494, (1999)
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
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.
引用
收藏
页码：1441 / 1447
页数：6
相关论文