General Inequalities 7

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 $$ f(x) + max left{ {f(y),,fleft( { - y} right)} right} = max left{ {fleft({x + y} right),,yleft( {x - y} right)} right} $$.- 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.