Book:Brian S. Thomson/Symmetric Properties of Real Functions

Subject Matter

 * Real Analysis

Contents

 * 1 The Derivative


 * 2 Continuity


 * 3 Covering Theorems


 * 4 Even Properties
 * 4.1 Introduction
 * 4.2 Midpoint-Linear Functions
 * 4.3 Midpoint-Convex Functions
 * 4.4 Uniform Smoothness Conditions
 * 4.5 Boundedness
 * 4.6 Symmetric Functions
 * 4.7 Quasi-Smooth Functions
 * 4.8 Smooth Functions
 * 4.9 Super-Smooth Functions


 * 5 Monotonicity


 * 6 Odd Properties


 * 7 The Symmetric Derivative


 * 8 Symmetric Variation


 * 9 Symmetric Integrals


 * Appendix