General inequalities 7 – ‘7th international confer

This is perhaps the last remaining field comprehended and used by mathematicians in all areas of the discipline. New inequalities are discovered every year, some for their intrinsic interest while others flow from results obtained in various branches of mathematics. The study of inequalities reflects the many and various aspects of mathematics. There are numerous applications in a wide variety of fields, from mathematical physics to biology and economics. This volume contains the proceedings of the General Inequalities 7 meeting held at Oberwolfach in November 1995. It is conceived in the spirit of the preceding volumes in the sense that it not only contains the latest results, but it is also a useful reference for lecturers and researchers. Series: International Series of Numerical Mathematics, Volume 123 Contents: Preface Participants Inequalities in Analysis Higher dimensional Hardy inequality/P. Drabek, H. Heinig and A. Kufner Integral inequalities for algebraic polynomials/G.V. Milovanovic Inequalities of Gauß-Minkowski type/C.E.M. Pearce, J. Pecaric and S. Varosanec Natural norm inequalities in nonlinear transforms/S. Saitoh Inequalities for Matrices and Discrete Problems Positive definiteness of discrete quadratic functionals/M. Bohner Stable norms - Examples and remarks/M. Goldberg Applications of order preserving inequalities to a generalized relative operator entropy/T. Furuta The arithmetic mean - the geometric mean and related matrix inequalities/J. Pecaric and B. Mond Inequalities for Eigenvalue Problems Inequalities for the first eigenvalues of the clamped plate and buckling problems/M.S. Ashbaugh, R.D. Benguria and R.S. Laugesen One the Payne-Pólya-Weinberger conjecture on the n -dimensional sphere/M.S. Ashbaugh and R.D. Benguria Norm eigenvalue bounds for some Sturm-Liouville problems/R.C. Brown and D.B. Hinton Discontinuance dependence of the n-th Sturm-Liouville problem/W.N. Everitt, M. Moller and A. Zettl Inequalities for Differential Operators Note on Wirtinger's inequality/H. Alzer Opial-type inequalities involving higher order partial derivatives of two functions/R.P. Agarwal and P.Y.H. Pang The HELP type integral inequalities for 2nth order differential operators/B.M. Brown and N.G.J. Dias An estimate related to the Gagliardo-Nirenberg inequality/M. Marcus Sobolev inequalities in 2-dimensional hyperbolic space/F. Mugelli and G. Talenti Convexity On the seperation with n -additive functions/ R. Badora Convexity of power functions with respect to symmetric homogeneous means/ J. Matkowski and J. Ratz Convex functions with respect to an arbitrary mean/J. Matkowski and J. Ratz Separation by semidefinite bilinear forms/Z. Pales Inequalities in Functional Analysis and Functional Equations Inequalities for selection probabilities/J. Aczel and G. Maksa Delta-exponential mappings in branch algebras/R. Ger On a problem of S.M. Ulam and the asympotic stability of the Cauchy functional equation with applications/T.M. Rassias Die Funktionalgleichung ?(x) + max {?(y), ?(-y) } = max {?(x+y), ?(x-y) }/R.M. Redheffer and P. Volkmann Applications Asymptotic analysis of nonlinear thin layers/A. Brillard The opaque square and the opaque circle/B. Kawohl Enclosure methods with existance proof for elliptic differential equations/M. Plum Weak persistance in Lotka-Volterra populations/R.M. Redheffer and P. Volkmann Uniqueness for degenerate elliptic equations via Serrin's principle/W. Reichel Problems and remarks Overdetermined Hardy inequalities/A. Kufner A condition for monotony/E.R. Love A conjectured inequality of T.J. Lyons/E.R. Love A theorem of Pommerenke and a conjecture of Erdos/T.M. Rassias Problems on finite sums decompositions of functions/T.M. Rassias