Many resource allocation problems can be studied within the framework of interference functions. Basic properties of interference functions are non-negativity, scale-invariance, and monotonicity. In ...

To solve this problem, we propose the approach of modifying a Jerk parameter, through the use of a pair of convex and concave functions, including aggregation functions.

This paper examines properties and interrelations of several concepts of generalized concavity. It shows that the class of functions that are both 'generalized concave' and 'generalized convex' is ...

As is shown by Yang, Means, and Moody [1], for a given domain, the concavity or convexity property may not be preserved beyond functional addition. The MRP curve cannot be concave to the origin, due ...

ABSTRACT: We show that the lateral regularizations of the generator of any uniformly bounded set-valued composition Nemytskij operator acting in the spaces of functions of bounded variation in the ...

Mathematical methods for economic theory: concave and convex functions of a single variable.Mathematical methods for economic theory.A function of a single variable is concave if every line segment ...

The author compares two estimators of a continuous, concave distribution function having support on the positive half line. In terms of samples from uniform distributions, he gives stochastic bounds ...