General Inequalities 2: Proceedings of the Second International Conference on General Inequalities held in the Mathematical Research Institut at Oberwolfach, Black Forest July 30–August 5, 1978

Front Matter....Pages i-xix
Front Matter....Pages 1-1
Origin of the Mathematical Research Institute Oberwolfach at the Countryseat ‘Lorenzenhof’....Pages 3-13
Front Matter....Pages 15-15
A Functional Inequality Arising in Combinatorics....Pages 17-28
Pairs of Sums of Three Squares of Integers Whose Product Has the Same Property....Pages 29-36
Combinatorial Inequalities, Matrix Norms, and Generalized Numerical Radii....Pages 37-46
The Case n = 2 of the Goldberg-Straus Inequality....Pages 47-51
Front Matter....Pages 53-53
Inequalities Involving Infinite Matrices with Nonnegative Entries....Pages 55-80
On Pseudoconvex Quadratic Forms....Pages 81-88
Some Inequalities for Positive Definite Matrices....Pages 89-90
Inequalities Connecting Eigenvalues and Nonprincipal Subdeterminants....Pages 91-105
Front Matter....Pages 107-107
Minimum Properties of Eigenvalues — Elementary Proofs....Pages 109-120
Infinite Systems of First-Order Partial-Differential Functional Inequalities....Pages 121-126
Inequalities for Fourier-Stieltjes Transformations of Functions of Bounded Variation....Pages 127-133
Front Matter....Pages 135-135
 ℓ 1 -Bounds for Inner Products....Pages 137-142
On the Location of the Intermediate Point in Taylor’s Theorem....Pages 143-144
On Hölder’s Inequality....Pages 145-150
On Some Integral Inequalities of E. T. Copson....Pages 151-159
On Enveloping Series for Some of the Special Functions, and on Integral Inequalities Involving Them....Pages 161-175
Front Matter....Pages 177-177
A Generalization of Theorems Concerning a Nonlinear Functional Inequality in a Single Variable....Pages 179-184
Generalized Subadditivity and Convexity....Pages 185-192
Homogeneity Sets for Jensen-Convex Functions....Pages 193-201
Front Matter....Pages 203-203
On an Interpolation Problem and Spline Functions....Pages 205-231
On Approximately Additive Mappings....Pages 233-251
Front Matter....Pages 253-253
New Versions of the Hahn-Banach Theorem....Pages 255-266
On Interpolation of Weak-Type Operators....Pages 267-275
A Generalized Schur-Hardy Inequality on Normed Köthe Spaces....Pages 277-286
Mean Values and Function Spaces....Pages 287-295
Front Matter....Pages 297-297
The Banach-Steinhaus Theorem with Rates, and Applications to Various Branches of Analysis....Pages 299-331
Harnack’s Inequalities for Operators....Pages 333-339
General Inequalities and Fixed-Point Problems....Pages 341-353
Front Matter....Pages 355-355
Eine Geometrische Ungleichung und Ihre Anwendung....Pages 357-366
A Sturm-Liouville Inequality with Applications to an Isoperimetric Inequality for Volume in Terms of Injectivity Radius, and to Wiedersehen Manifolds....Pages 367-377
The Formulas of Weierstrass and the Fundamental Theorem of Algebra for Minimal Surfaces....Pages 379-409
Some Inequalities for Univalent Functions with Quasiconformal Extensions....Pages 411-415
Front Matter....Pages 417-417
On a Family of Functional Inequalities....Pages 419-427
How to Derive all L P — Metrics from a Single Probabilistic Metric....Pages 429-434
On a Functional Inequality....Pages 435-440
General Solution of an Inequality Containing Several Unknown Functions, with Applications to the Generalized Problem of “How to Keep the Expert Honest”....Pages 441-445
Front Matter....Pages 447-447
Why Study Inequalities?....Pages 449-449
The n-TH Partial Sums of Jacobi Elliptic Functions....Pages 450-450
Problems in the Theory of Infinite Matrices....Pages 451-452
Front Matter....Pages 447-447
The Motion of a Simple Pendulum with Uniformly Shortening String Length....Pages 453-454
Remarks Concerning Extensions of the Gamma Function....Pages 455-457
A Problem on Normed Köthe Spaces....Pages 458-458
Remarks on a Generalization of the Schur-Hardy Inequality....Pages 459-460
A Note on the Foregoing Remarks of R. N. Mohapatra....Pages 461-461
A Problem in Univalent-Function Theory....Pages 462-462
On a Majorization of Distances between the Values of a Family of Functions and a Fixed Point....Pages 463-464
Area of a Triangle and the Product of Its Side Lengths....Pages 465-466
A Minimum Property of the Square....Pages 467-467
Back Matter....Pages 469-472