积分算子$L_p$-范数的极限

IF 0.6 4区数学 Q4 MATHEMATICS, APPLIED

Applications of Mathematics Pub Date : 1994-01-01 DOI:10.21136/am.1994.134259

Pavel Stavinoha

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引用次数: 0

摘要

总结。本文给出了一个近似的表达式，它给出了一个近似的特征值的个数，这个特征值的个数几乎等于特征值的个数，这个特征值的个数等于特征值的个数。利用L - p - r - ms对该光谱的L -半径进行了近似，得到了该光谱的L -半径和p - r -半径，得到了该光谱的L -半径和r - p - r -半径。本文讨论了一种有界的状态方程的一些性质。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On limits of $L_p$-norms of an integral operator

Summary. A r ecu rr ence r e l ation fo r the computation of the L p -no r ms of an He r mitian F r edho l m integ r a l operato r is de r ived and an expression giving approximate l y the number of eigenva l ues which in abso l ute va l ue a r e equa l to the spect r a l r adius is dete r mined. Using the L p -no r ms fo r the app r oximation of the spectra l radius of this ope r ato r an a p r iori and an a p o ste r io r i bound fo r the error a r e obtained. Some prope r ties of the a poste r iori bound a r e discussed.

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来源期刊

Applications of Mathematics 数学-应用数学

CiteScore

1.50

自引率

0.00%

发文量

审稿时长

3.0 months

期刊介绍： Applications of Mathematics publishes original high quality research papers that are directed towards applications of mathematical methods in various branches of science and engineering. The main topics covered include: - Mechanics of Solids; - Fluid Mechanics; - Electrical Engineering; - Solutions of Differential and Integral Equations; - Mathematical Physics; - Optimization; - Probability Mathematical Statistics. The journal is of interest to a wide audience of mathematicians, scientists and engineers concerned with the development of scientific computing, mathematical statistics and applicable mathematics in general.