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Titlebook: Inequalities and Applications; Conference on Inequa Catherine Bandle,László Losonczi,Michael Plum Conference proceedings 2009 Birkh?user Ba

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書目名稱Inequalities and Applications
副標(biāo)題Conference on Inequa
編輯Catherine Bandle,László Losonczi,Michael Plum
視頻videohttp://file.papertrans.cn/465/464391/464391.mp4
概述Highlights from the International Conference on Inequalities and Applications held in Noszvaj (Hungary) in 2007.Includes supplementary material:
叢書名稱International Series of Numerical Mathematics
圖書封面Titlebook: Inequalities and Applications; Conference on Inequa Catherine Bandle,László Losonczi,Michael Plum Conference proceedings 2009 Birkh?user Ba
描述.Inequalities continue to play an essential role in mathematics. Perhaps, they form the last field comprehended and used by mathematicians in all areas of the discipline. Since the seminal work Inequalities (1934) by Hardy, Littlewood and Pólya, mathematicians have laboured to extend and sharpen their classical inequalities. New inequalities are discovered every year, some for their intrinsic interest whilst others flow from results obtained in various branches of mathematics. The study of inequalities reflects the many and various aspects of mathematics. On one hand, there is the systematic search for the basic principles and the study of inequalities for their own sake. On the other hand, the subject is the source of ingenious ideas and methods that give rise to seemingly elementary but nevertheless serious and challenging problems. There are numerous applications in a wide variety of fields, from mathematical physics to biology and economics. ..This volume contains the contributions of the participants of the Conference on Inequalities and Applications?held in Noszvaj?(Hungary) in September 2007. It is conceived in the spirit of the preceding volumes of the General Inequalities
出版日期Conference proceedings 2009
關(guān)鍵詞Analysis; Applications; Convexity; Eigenvalue; Inequalities; differential equation; ordinary differential
版次1
doihttps://doi.org/10.1007/978-3-7643-8773-0
isbn_ebook978-3-7643-8773-0Series ISSN 0373-3149 Series E-ISSN 2296-6072
issn_series 0373-3149
copyrightBirkh?user Basel 2009
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International Series of Numerical Mathematicshttp://image.papertrans.cn/i/image/464391.jpg
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Inequalities and Applications978-3-7643-8773-0Series ISSN 0373-3149 Series E-ISSN 2296-6072
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On Spectral Bounds for Photonic Crystal WaveguidesFor a (. + 1)-dimensional photonic crystal with a linear defect strip (waveguide), we calculate real intervals containing spectrum of the associated spectral problem. If such an interval falls completely into a spectral gap of the unperturbed problem (without defect), this will prove the existence of additional spectrum induced by the waveguide.
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Euler-Grüss Type Inequalities Involving MeasuresAn inequality of Grüss type for a real Borel measure . is proved. Some Euler-Grüss type inequalities are given, by using general Euler identities involving .-harmonic sequences of functions with respect to a real Borel measure ..
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The ,-quasiconcave Functions and Weighted InequalitiesWe present some facts from a general theory of .-quasiconcave functions defined on the interval . = (.) ? ? and show how to use them to characterize the validity of weighted inequalities involving .-quasiconcave operators.
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Inequalities for the Norm and Numerical Radius of Composite Operators in Hilbert SpacesSome new inequalities for the norm and the numerical radius of composite operators generated by a pair of operators are given.
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