THE SECOND DERIVATIVE
1. Curvature- concavity and convexity. An intuitive definition: a function is said to be convex at an interval if for all pairs of points on the graph
Quasi-Concave Programming
for differentiable quasi-concave functions.4. In speaking of a quasi-concave function some specific domain of definition
Lecture 14 The Last One!
27 ago 2015 Convex and Concave Functions. Definition. Suppose X is a convex subset of Rn. A function f : X ? R is: concave if.
Concave functions in economics 1. Preliminaries 1 2. Concave
John Riley. 6. We have the following alternative definition. Definition: Concave function. The differentiable function f is concave on X if for any 0.
1 Theory of convex functions
1 mar 2016 Convex concave
Quasi-Concave Programming Author(s): Kenneth J. Arrow and Alain
which is an alternative definition of concavity for differentiable functions. The inequality (1.3) states that if f(x) is concave it lies everywhere on or.
Concave and Convex Functions1
Concave and Convex Functions1. 1 Basic Definitions. Definition 1. Let C ? RN be non-empty and convex and let f : C ? R. 1. (a) f is concave iff for any a
Existence and Uniqueness of Equilibrium Points for Concave N
The existence of an equilibrium point for this concave n-person game is show DEFINITION: The function o(x r) will be called diagonally strictly concave ...
CS281B/Stat241B. Statistical Learning Theory. Lecture 14.
Mixable loss: Reduction to mix loss. Crux: exp-concavity is convenient but too strong. Definition: We say L(a x) is ?-mixable if.
COEFFICIENT ESTIMATES FOR BI-CONCAVE FUNCTIONS 1
13 feb 2018 Introduction Preliminaries and DeFinition. The knowledge on bi-concave univalent functions is based on univalent
