A GENERALIZATION OF KARAMATA'S THEOREM ON THE ASYMPTOTIC BEHAVIOR OF INTEGRALS

V. V. BULDYGIN; V. V. PAVLENKOV

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A GENERALIZATION OF KARAMATA'S THEOREM ON THE ASYMPTOTIC BEHAVIOR OF INTEGRALS

机译：关于积分的渐近行为的Karamata定理的推广

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摘要

A generalization of Karamata's theorem on the asymptotic behavior of integrals of regularly varying functions with oscillating components is obtained in the paper.

机译：本文获得了具有振动分量的正则变化函数积分的渐近行为的Karamata定理的推广。

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《Theory of probability and mathematical statistics》 |2010年第null期|共12页
作者
V. V. BULDYGIN; V. V. PAVLENKOV;
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正文语种 eng
中图分类概率论与数理统计;
关键词
Regularly varying functions; Karamata's theorem; asymptotic behavior o;

机译：有规律变化的函数;Karamata定理;渐近行为o;

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1. A GENERALIZATION OF KARAMATA'S THEOREM ON THE ASYMPTOTIC BEHAVIOR OF INTEGRALS [J] . V. V. BULDYGIN, V. V. PAVLENKOV Theory of probability and mathematical statistics . 2010,第Null期

机译：关于积分的渐近行为的Karamata定理的推广
2. Applying a fixed point theorem of Krasnosel'skii type to the existence of asymptotically stable solutions for a Volterra-Hammerstein integral equation [J] . Ngoc L.T.P., Long N.T. Nonlinear Analysis: An International Multidisciplinary Journal . 2011,第11期

机译：将Krasnosel'skii型不动点定理应用于Volterra-Hammerstein积分方程的渐近稳定解的存在
3. Liouville theorem with parameters: asymptotics ofcertain rational integrals in differential fields [J] . MALGORZATA STAWISKA Annales Societatis Mathematicae Polonae, Seria I. Commentationes mathematicae . 2010,第2期

机译：具有参数的Liouville定理：微分场中某些有理积分的渐近性
4. Generalization of Darbo-Type Fixed Point Theorem and Applications to Integral Equations [C] . Hemant Kumar Nashine, Rabha W. Ibrahim, Reza Arab, Control Instrumentation System Conference . 2020

机译：Darbo型固定点定理和应用于整体方程的概括
5. Existence Theorem and Asymptotic Behavior of Free Boundary Appearing in Flow Through Porous Media [D] . 腰越, 秀之 1993

机译：多孔介质流动中自由边界的存在定理和渐近行为
6. Exactification of the Poincaré asymptotic expansion of the Hankel integral: spectacularly accurate asymptotic expansions and non-asymptotic scales [O] . Eric A. Galapon, Kay Marie L. Martinez -1

机译：Hankel积分的Poincaré渐近展开的实现：精确的渐近展开和非渐近标度
7. A generalization of Karamata’s theorem on the asymptotic behavior of integrals [O] . V. V. Buldygin, V. V. Pavlenkov 2010

机译：karamata定理对整数的渐近行为的概括
8. Limit Theorems for Noncommutative Processes--II: On a Generalization of the Stieltjes Integral [R] . Bellman, R. 1955

机译：非交换过程的极限定理 - II：关于stieltjes积分的推广

A GENERALIZATION OF KARAMATA'S THEOREM ON THE ASYMPTOTIC BEHAVIOR OF INTEGRALS

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