General Inequalities 1 / Allgemeine Ungleichungen 1: Proceedings of the First International Conference on General Inequalities held in the Mathematical Research Institute at Oberwolfach, Black Forest, May 10–14, 1976 / Abhandlung zur erstein internationalen Tagung über Allgemeine Ungleichungen im Mathematischen Forschungsinstitut Oberwolfach, Schwarzwald vom 10. bis 14. Mai 1976

Front Matter....Pages i-xv
Front Matter....Pages 1-1
A Note on Inequalities....Pages 3-4
The Many Limits of Mixed Means, I....Pages 5-22
Inequalities and Functional Equations in the Theory of the Price Index....Pages 23-28
Induction with Inequalities Involving Nonquasiarithmetic Means....Pages 29-33
On Turán-Type Inequalities....Pages 35-38
On the Positivity of Circulant and Skew-Circulant Determinants....Pages 39-48
Convexity in the Theory of the Gamma Function....Pages 49-62
On the Hausdorff Moment Problem....Pages 63-81
Front Matter....Pages 83-83
On Jackson-Type Inequalities in Approximation Theory....Pages 85-114
On Lipschitz Condition and Zygmund’s Property for Functions of Several Variables....Pages 115-123
Inequalities Related to the Normal Law....Pages 125-129
Bound on the Measure of a Set in a Product Space....Pages 131-132
Inequalities Among Operations on Probability Distribution Functions....Pages 133-149
Front Matter....Pages 151-151
Functional Inequalities....Pages 153-158
Almost Subadditive Functions....Pages 159-167
Additive Functions and the Egorov Theorem....Pages 169-173
Nonnegative Continuous Solutions of a Functional Inequality in a Single Variable....Pages 175-180
Nonlinear Functional Inequalities in a Single Variable....Pages 181-189
Application of Functional Inequalities to Determining One-Parameter Families of Solutions of a Functional Equation....Pages 191-197
Comparison Theorems for a Functional Inequality....Pages 199-211
Front Matter....Pages 151-151
Integrable Solutions of a Linear Functional Inequality....Pages 213-215
Front Matter....Pages 217-217
A Note on First-Order Linear Partial Differential Inequalities....Pages 219-222
Rayleigh’s Principle by Equivalent Problems....Pages 223-230
Second-Order Criteria for Pseudo-Convex Functions....Pages 231-232
Infinite Riemann Sums, the Simple Integral, and the Dominated Integral....Pages 233-242
An Extremal Problem for Harmonic Measure....Pages 243-245
Front Matter....Pages 247-247
E. Picardus Ab Omni Naevo Liberatus (On the Axiomatics of Vector Addition)....Pages 249-253
Les Fonctions du Triangle Pour les Espaces Normés Aléatoires....Pages 255-260
Quadratic Functionals Satisfying a Subsidiary Inequality....Pages 261-270
On Operators in Hilbert Space Depending Analytically on a Parameter....Pages 271-276
The Counterspherical Representation of a Minimal Surface....Pages 277-299
Front Matter....Pages 301-301
Remarks and Problems Concerning Prékopa’s Inequality....Pages 303-304
A Simple Differential Proof of the Inequality Between the Arithmetic and Geometric Means....Pages 305-305
A Convexity Problem in Complex-Variable Theory....Pages 306-306
Remarks on Ostrowski’s Inequality....Pages 307-307
A Determinant Inequality....Pages 308-308
On Favard’s Theorem for Orthogonal Polynomials....Pages 309-310
A Problem in Parabolic Differential Inequalities....Pages 311-311
A Problem Originating in Transmission-Line Theory....Pages 312-312
An Integral Inequality Connected with Completeness....Pages 313-314
Front Matter....Pages 301-301
Some Problems in the Theory of Surfaces....Pages 315-318
A Problem Concerning t-Norms....Pages 319-319
Remarks and a Problem on an Inequality....Pages 319-319
On Characterizing Lorentz Transformations....Pages 319-319
Back Matter....Pages 321-332