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General Inequalities 7 : 7th International Conference at Oberwolfach, November 13-18, 1995 - C. Bandle

General Inequalities 7

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

By: C. Bandle (Editor), W. N. Everitt (Editor), Laszlo Losonczi (Editor), Wolfgang Walter (Editor)

Hardcover Published: 1st April 1997
ISBN: 9783764357221
Number Of Pages: 404

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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.

Preface
Participants
Higher dimensional Hardy inequalityp. 3
Integral inequalities for algebraic polynomialsp. 17
Inequalities of Gauss-Minkowski typep. 27
Natural norm inequalities in nonlinear transformsp. 39
Positive definiteness of discrete quadratic functionalsp. 55
Stable norms - Examples and remarksp. 61
Applications of order preserving inequalities to a generalized relative operator entropyp. 65
The arithmetic mean - the geometric mean and related matrix inequalitiesp. 77
Inequalities for the first eigenvalues of the clamped plate and buckling problemsp. 95
One the Payne-Polya-Weinberger conjecture on the n-dimensional spherep. 111
Norm eigenvalue bounds for some Sturm-Liouville problemsp. 129
Discontinuous dependence of the n-th Sturm-Liouville problemp. 145
Note on Wirtinger's inequalityp. 153
Opial-type inequalities involving higher order partial derivatives of two functionsp. 157
The HELP type integral inequalities for [actual symbol not reproducible] order differential operatorsp. 179
An estimate related to the Gagliardo-Nirenberg inequalityp. 193
Sobolev inequalities in 2-dimensional hyperbolic spacep. 201
On the separation with n-additive functionsp. 219
Convexity of power functions with respect to symmetric homogeneous meansp. 231
Convex functions with respect to an arbitrary meanp. 249
Separation by semidefinite bilinear formsp. 259
Inequalities for selection probabilitiesp. 271
Delta-exponential mappings in Banach algebrasp. 285
On a problem of S.M. Ulam and the asymptotic stability of the Cauchy functional equation with applicationsp. 297
Die Funktionalgleichung f(x) + max {f(y), f(-y)} = max {f(x + y), f(x - y)}p. 311
Asymptotic analysis of nonlinear thin layersp. 321
The opaque square and the opaque circlep. 339
Enclosure methods with existence proof for elliptic differential equationsp. 347
Weak persistence in Lotka-Volterra populationsp. 369
Uniqueness for degenerate elliptic equations with Serrin's principlep. 375
Overdetermined Hardy inequalitiesp. 391
A condition for monotonyp. 393
A conjectured inequality of T.J. Lyonsp. 395
A theorem of Pommerenke and a conjecture of Erdosp. 401
Problems on finite sums decompositions of functionsp. 403
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9783764357221
ISBN-10: 3764357223
Series: Progress in Nonlinear Differential Equations and Their Applications
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 404
Published: 1st April 1997
Publisher: SPRINGER VERLAG GMBH
Country of Publication: CH
Dimensions (cm): 23.39 x 15.6  x 2.39
Weight (kg): 0.76