General Inequalities 7

7th International Conference at Oberwolfach, November 13–18, 1995

AvCatherine Bandle,William N. Everitt

Inbunden, Engelska, 1997

Del i serien International Series of Numerical Mathematics

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Beskrivning

The field of inequalities is probably the last used by mathematicians in all areas of the discipline. New ones are discovered each year, and some of these come from results obtained in many branches of mathematics, and so the study of inequalities reflects the many aspects of mathematics. There are numerous applications in a variety of fields, from mathematical physics to biology and economics, and this volume not only contains the latest results, but is also a relevant reference for lecturers and researchers.

Produktinformation

Utgivningsdatum:1997-04-01
Mått:155 x 235 x undefined mm
Format:Inbunden
Språk:Engelska
Serie:International Series of Numerical Mathematics
Antal sidor:404
Förlag:Birkhauser Verlag AG
ISBN:9783764357221

Utforska kategorier

Topologi inom Naturvetenskap och teknik
Matematik inom Naturvetenskap och teknik
Algebra inom Naturvetenskap och teknik

Innehållsförteckning

Inequalities in Analysis.- Higher dimensional Hardy inequality.- Integral inequalities for algebraic polynomials.- Inequalities of Gauß-Minkowski type.- Natural norm inequalities in nonlinear transforms.- Inequalities for Matrices and Discrete Problems.- Positive definiteness of discrete quadratic functionals.- Stable norms — Examples and remarks.- Applications of order preserving inequalities to a generalized relative operator entropy.- The arithmetic mean — the geometric mean and related matrix inequalities.- Inequalities for Eigenvalue Problems.- Inequalities for the first eigenvalues of the clamped plate and buckling problems.- One the Payne-Pólya-Weinberger conjecture on the n-dimensional sphere.- Norm eigenvalue bounds for some Sturm-Liouville problems.- Discontinuous dependence of the n-th Sturm-Liouville problem.- Inequalities for Differential Operators.- Note on Wirtinger’s inequality.- Opial-type inequalities involving higher order partial derivatives of two functions.- The HELP type integral inequalities for 2nth order differential operators.- An estimate related to the Gagliardo-Nirenberg inequality.- Sobolev inequalities in 2-dimensional hyperbolic space.- Convexity.- On the separation with n-additive functions.- Convexity of power functions with respect to symmetric homogeneous means.- Convex functions with respect to an arbitrary mean.- Separation by semidefinite bilinear forms.- Inequalities in Functional Analysis and Functional Equations.- Inequalities for selection probabilities.- Delta-exponential mappings in Banach algebras.- On a problem of S.M. Ulam and the asymptotic stability of the Cauchy functional equation with applications.- Die Funktionalgleichung $$ f(x) + \max \left\{ {f(y),\,f\left( { - y} \right)} \right\} = \max \left\{ {f\left({x + y} \right),\,y\left( {x - y} \right)} \right\} $$.- Applications.- Asymptotic analysis of nonlinear thin layers.- The opaque square and the opaque circle.- Enclosure methods with existence proof for elliptic differential equations.- Weak persistence in Lotka-Volterra populations.- Uniqueness for degenerate elliptic equations via Serrin’s principle.- Problems and Remarks.- Overdetermined Hardy inequalities.- A condition for monotony.- A conjectured inequality of T.J. Lyons.- A theorem of Pommerenke and a conjecture of Erd?s.- Problems on finite sums decompositions of functions.

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