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Titlebook: Handbook of Means and Their Inequalities; P. S. Bullen Book 2003Latest edition Springer Science+Business Media Dordrecht 2003 Calc.DEX.Sco

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发表于 2025-3-21 17:53:15 | 显示全部楼层 |阅读模式
书目名称Handbook of Means and Their Inequalities
编辑P. S. Bullen
视频video
丛书名称Mathematics and Its Applications
图书封面Titlebook: Handbook of Means and Their Inequalities;  P. S. Bullen Book 2003Latest edition Springer Science+Business Media Dordrecht 2003 Calc.DEX.Sco
描述There seems to be two types of books on inequalities. On the one hand there are treatises that attempt to cover all or most aspects of the subject, and where an attempt is made to give all results in their best possible form, together with either a full proof or a sketch of the proof together with references to where a full proof can be found. Such books, aimed at the professional pure and applied mathematician, are rare. The first such, that brought some order to this untidy field, is the classical "Inequalities" of Hardy, Littlewood & P6lya, published in 1934. Important as this outstanding work was and still is, it made no attempt at completeness; rather it consisted of the total knowledge of three front rank mathematicians in a field in which each had made fundamental contributions. Extensive as this combined knowledge was there were inevitably certain lacunre; some important results, such as Steffensen‘s inequality, were not mentioned at all; the works of certain schools of mathematicians were omitted, and many important ideas were not developed, appearing as exercises at the ends of chapters. The later book "Inequalities" by Beckenbach & Bellman, published in 1961, repairs man
出版日期Book 2003Latest edition
关键词Calc; DEX; Scope; arithmetic; calculus; field; function; functions; inequality; integral; knowledge; matrices; p
版次2
doihttps://doi.org/10.1007/978-94-017-0399-4
isbn_softcover978-90-481-6383-0
isbn_ebook978-94-017-0399-4
copyrightSpringer Science+Business Media Dordrecht 2003
The information of publication is updating

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发表于 2025-3-21 21:37:47 | 显示全部楼层
Symmetric Polynomial Means,se new means give extensions of the geometric mean-arithmetic mean inequality. In this chapter we study the properties of these means. In addition generalizations of these means due to Whiteley and Muirhead are discussed
发表于 2025-3-22 02:06:36 | 显示全部楼层
Other Topics, of mean inequalities. The topic of axiomatization of means is discussed but only briefly as the topic leads away from the interest of this book into the theory of functional equations and functional inequalities; [.].
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ubject, and where an attempt is made to give all results in their best possible form, together with either a full proof or a sketch of the proof together with references to where a full proof can be found. Such books, aimed at the professional pure and applied mathematician, are rare. The first such
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P. S. Bulleneyfus-Affäre in Frankreich entstandenen ist, nämlich als Erzeuger geistiger (wissenschaftlicher, literarischer, künstlerischer) Güter, denen es ermöglicht wird, aus ihrer eigentlichen Aktivitätsund Legitimitätssphäre herauszutreten, um öffentlich einen Standpunkt zu diversen moralischen oder politischen Fragen einzunehmen.
发表于 2025-3-23 09:20:30 | 显示全部楼层
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