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Titlebook: Analytic Inequalities; Dragoslav S. Mitrinović Book 1970 Springer-Verlag, Berlin · Heidelberg 1970 Analysis.Finite.Ungleichung.calculus.di

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期刊全称Analytic Inequalities
影响因子2023Dragoslav S. Mitrinović
视频video
学科分类Grundlehren der mathematischen Wissenschaften
图书封面Titlebook: Analytic Inequalities;  Dragoslav S. Mitrinović Book 1970 Springer-Verlag, Berlin · Heidelberg 1970 Analysis.Finite.Ungleichung.calculus.di
影响因子The Theory of Inequalities began its development from the time when C. F. GACSS, A. L. CATCHY and P. L. CEBYSEY, to mention only the most important, laid the theoretical foundation for approximative meth­ ods. Around the end of the 19th and the beginning of the 20th century, numerous inequalities were proyed, some of which became classic, while most remained as isolated and unconnected results. It is almost generally acknowledged that the classic work "Inequali­ ties" by G. H. HARDY, J. E. LITTLEWOOD and G. POLYA, which appeared in 1934, transformed the field of inequalities from a collection of isolated formulas into a systematic discipline. The modern Theory of Inequalities, as well as the continuing and growing interest in this field, undoubtedly stem from this work. The second English edition of this book, published in 1952, was unchanged except for three appendices, totalling 10 pages, added at the end of the book. Today inequalities playa significant role in all fields of mathematics, and they present a very active and attractive field of research. J. DIEUDONNE, in his book "Calcullnfinitesimal" (Paris 1968), attri­ buted special significance to inequalities, adopting the met
Pindex Book 1970
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Analytic Inequalities978-3-642-99970-3Series ISSN 0072-7830 Series E-ISSN 2196-9701
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Martin Mielick,Ryuko Kubota,Luke LawrenceA systematic and a detailed construction of the real number system can be found, for example, in the book [1] of E. ., or in the book [2] of L. W. . and G. ..
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Martin Mielick,Ryuko Kubota,Luke LawrenceLet a = (a., ..., a.) be a given sequence of positive numbers. Then the harmonic mean H. (a) of the numbers a., ..., a. is defined as.their geometric mean G.(a) is defined as.and their arithmetic mean A. (a) is defined as..
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Particular Inequalities, inequalities could also have been incorporated in two or more sections of this Part. All these inequalities can play a certain role in Pure and Applied Mathematics in the proofs of various theorems, or in some other ways.
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