FIRST-RETURN LIMITING NOTIONS IN REAL ANALYSIS

Michael J. Evans; Richard J. OMalley

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FIRST-RETURN LIMITING NOTIONS IN REAL ANALYSIS

机译：真实分析中的第一个回归限制概念

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摘要

During the past decade several authors have explored some ramifications of borrowing the "first-return" notion from the study of the dynamics of chaotic maps on an interval and applying the concept to the core areas of real analysis: approximation, continuity, differentiation, and integration. This survey attempts to summarize the results obtained and to point toward possible future directions for exploration.

机译：在过去的十年中，几位作者探索了一些概念，这些概念是通过对间隔内的混沌映射图动力学进行研究，并借鉴该概念到实际分析的核心领域中的：“近似”，“连续性”，“微分”和“迭代”。积分。该调查试图总结所获得的结果，并指出未来的勘探方向。

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来源
《Real analysis exchange》 |2004年第2期|p.503-529|共27页
作者
Michael J. Evans; Richard J. OMalley;
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作者单位

Department of Mathematics, Washington and Lee University, Lexington, VA 24450;

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原文格式 PDF
正文语种 eng
中图分类应用数学;
关键词
first-return; baire one; continuity; approachability recoverability; differentiation; integration; polygonal approximation;

机译：初次收益;贝尔一;连续性;可接近性可恢复性;微分;积分;多边形逼近;

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FIRST-RETURN LIMITING NOTIONS IN REAL ANALYSIS

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