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General Inequalities 6

General Inequalities 6
Author: Wolfgang Walter
Publisher: Birkhäuser
Total Pages: 507
Release: 2013-11-11
Genre: Science
ISBN: 3034875657

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The sixthInternational Conference on General Inequalities was held from Dec. 9 to Dec. 15, 1990, at the Mathematisches Forschungsinstitut Oberwolfach (Black Fa rest, Germany). The organizing committee was composed of W.N. Everitt (Birm ingham), L. Losonczi (Debrecen) and W. Walter (Karlsruhe). Dr. A. Kovacec ( Coimbra) served cheerfully and efficiently as secretary of the meeting. The con ference was attended by 44 participants from 20 countries. Yet again the importance of inequalities in both pure and applied mathematics was made evident from the wide range of interests of the individual participants, and from the wealth of new results announced. New inequalities were presented in the usual spread of the subject areas now expected for these meetings: Classical and functional analysis, existence and boundary value problems for both ordinary and partial differential equations, with special contributions to computer science, quantum holography and error analysis. More strongly than ever, the role played by modern electronic computers was made clear in testing out and prohing into the validity and structure of certain inequalities. Here the computer acts not only for numerical calculations of great complexity, but also in symbolic manipulation of complex finite structures. Prob lems in inequalities which even a few years ago were intractable, now fall to solution or receive direct and positive guidance as a result of computer applications. The interface between finite and infinite structures in mathematics and the versatility of modern computers is weil developed in the subject of general inequalities.


General Inequalities 6

General Inequalities 6
Author: Wolfgang Walter
Publisher: Birkhauser
Total Pages: 552
Release: 1992
Genre: Inequalities (Mathematics)
ISBN:

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General Inequalities 5

General Inequalities 5
Author: WALTER
Publisher: Birkhäuser
Total Pages: 478
Release: 2013-03-08
Genre: Science
ISBN: 3034871929

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The Fifth International Conference on General Inequalities was held from May 4 to May 10, 1986, at the Mathematisches Forschungsinstitut Oberwolfach (Black Forest, Germany). The organizing committee consisted of W.N. Everitt (Birmingham), L. Losonczi (Debrecen) and W. Walter (Karlsruhe). Dr. A. Kovacec served efficiently an'd enthusiastically as secretary to the con ference. The meeting was attended by 50 participants from 16 countries. In his opening address, W. Walter had to report on the death of five colleagues who had been active in the area of inequali ties and who had served the mathematical community: P.R. Beesack, G. Polya, D.K. Ross, R. Bellman, G. Szegö. He made special mention of G. Polya, who had been the last surviving author of the book InequaZities (Cambridge University Press, 1934), who died at the age of 97 years and whose many and manifold contributions to mathematics will be recorded elsewhere, in due course. Inequalities continue to play an important and significant role in nearly all areas of mathematics. The interests of the participants to this conference reflected the many different fields in which both classical and modern inequalities continue to influence developments in mathematics. In addition to the established fields, the lectures clearly indicated the importance of inequalities in functional analysis, eigenvalue theory, con vexi ty., number theory, approximation theory, probability theory, mathematical prograrnrning and economics.


General Inequalities 7

General Inequalities 7
Author: Catherine Bandle
Publisher: Birkhäuser
Total Pages: 398
Release: 2012-12-06
Genre: Mathematics
ISBN: 3034889429

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Inequalities continue to play an essential role in mathematics. The subject is per haps the last field that is comprehended and used by mathematicians working in all the areas of the discipline of mathematics. Since the seminal work Inequalities (1934) of Hardy, Littlewood and P6lya mathematicians have laboured to extend and sharpen the earlier classical inequalities. New inequalities are discovered ev ery year, some for their intrinsic interest whilst others flow from results obtained in various branches of mathematics. So extensive are these developments that a new mathematical periodical devoted exclusively to inequalities will soon appear; this is the Journal of Inequalities and Applications, to be edited by R. P. Agar wal. Nowadays it is difficult to follow all these developments and because of lack of communication between different groups of specialists many results are often rediscovered several times. Surveys of the present state of the art are therefore in dispensable not only to mathematicians but to the scientific community at large. The study of inequalities reflects the many and various aspects of mathemat ics. There is on the one hand the systematic search for the basic principles and the study of inequalities for their own sake. On the other hand the subject is a source of ingenious ideas and methods that give rise to seemingly elementary but nevertheless serious and challenging problems. There are many applications in a wide variety of fields from mathematical physics to biology and economics.


General Inequalities 1 / Allgemeine Ungleichungen 1

General Inequalities 1 / Allgemeine Ungleichungen 1
Author: BECKENBACH
Publisher: Birkhäuser
Total Pages: 323
Release: 2013-12-01
Genre: Science
ISBN: 303485563X

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personlichen Kontakt der Wissenschaftler untereinander zustande kommt, als die unpersonliche, nur literarische Information."


General Inequalities 4

General Inequalities 4
Author: WALTER
Publisher: Birkhäuser
Total Pages: 414
Release: 2013-11-21
Genre: Science
ISBN: 3034862598

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General Inequalities 3

General Inequalities 3
Author: BECKENBACH
Publisher: Birkhäuser
Total Pages: 543
Release: 2013-11-21
Genre: Science
ISBN: 3034862903

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Factorizing the Classical Inequalities

Factorizing the Classical Inequalities
Author: Grahame Bennett
Publisher: American Mathematical Soc.
Total Pages: 145
Release: 1996
Genre: Mathematics
ISBN: 0821804367

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This memoir describes a new way of looking at the classical inequalities. The most famous such results, (those of Hilbert, Hardy, and Copson) may be interpreted as inclusion relationships, l[superscript italic]p [subset equality symbol] [italic capital]Y, between certain (Banach) sequence spaces, the norm of the injection being the best constant of the particular inequality. The inequalities of Hilbert, Hardy, and Copson all share the same space [italic capital]Y. That space -- alias [italic]ces([italic]p) -- is central to many celebrated inequalities, and thus is studied here in considerable detail.


General Inequalities 2

General Inequalities 2
Author: BECKENBACH
Publisher: Birkhäuser
Total Pages: 454
Release: 2013-11-22
Genre: Science
ISBN: 3034863241

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