General Inequalities 7

Chapter 1 Higher dimensional Hardy inequality

Chapter 2 Integral inequalities for algebraic polynomials

Chapter 3 Inequalities of Gauß-Minkowski type

Chapter 4 Natural norm inequalities in nonlinear transforms

Chapter 5 Positive definiteness of discrete quadratic functional

Chapter 6 Stable norms — Examples and remarks

Chapter 7 Applications of order preserving operator inequalities to a generalized relative operator entropy

Chapter 8 The arithmetic mean — the geometric mean and related matrix inequalities

Chapter 9 Inequalities for the first eigenvalues of the clamped plate and buckling problems

Chapter 10 On the Payne-Pólya-Weinberger conjecture on the n -dimensional sphere

Chapter 11 Norm Eigenvalue bounds for some weighted Sturm-Liouville problems

Chapter 12 Discontinuous dependence of the n -th Sturm-Liouville eigenvalue

Chapter 13 Note on Wirtinger’s inequality

Chapter 14 Opial-type inequalities involving higher order partial derivatives of two functions

Chapter 15 The HELP type integral inequalities for 2 n th order differential operators

Chapter 16 An estimate related to the Gagliardo-Nirenberg inequality

Chapter 17 Sobolev inequalities in 2-dimensional hyperbolic space

Chapter 18 On the separation with n -additive functions

Chapter 19 Convexity of power functions with respect to symmetric homogeneous means

Chapter 20 Convex functions with respect to an arbitrary mean

Chapter 21 Separation by semidefinite bilinear forms

Chapter 22 Inequalities for selection probabilities

Chapter 23 Delta-exponential mappings in Banach algebras

Chapter 24 On a problem of S.M. Ulam and the asymptotic stability of the Cauchy functional equation with applications

Chapter 25 Die Funktionalgleichung $$ f(x) + \max \left\{ {f(y),\,f\left( { - y} \right)} \right\} = \max \left\{ {f\left( {x + y} \right),\,y\left( {x - y} \right)} \right\} $$

Chapter 26 Asymptotic analysis of nonlinear thin layers

Chapter 27 The opaque square and the opaque circle

Chapter 28 Enclosure methods with existence proof for elliptic differential equations

Chapter 29 Weak persistence in Lotka-Volterra populations

Chapter 30 Uniqueness for degenerate elliptic equations via Serrin’s sweeping principle

Chapter 31 Overdetermined Hardy inequalities

Chapter 32 A condition for monotony

Chapter 33 A conjectured inequality of T.J. Lyons

Chapter 34 A theorem of Pommerenke and a conjecture of Erdős

Chapter 35 Problems on finite sums decompositions of functions