Content evaluation and class symmetric functions

Stochastic Evaluation of Symmetric Boolean Functions

Extremal Problems for a Class of Symmetric Functions

Since then, many extremal problems for the class ~ and related classes have been considered ([1], [2], [4] to [9]). In many of these extremal problems, the extremal function is symmetric with respect to the real axis; or if an extremal function is not unique, there exists a symmetric extremal function [7]. This leads us to consider the compact subclass of functions whose image is symmetric with...

Schur Convexity for a Class of Symmetric Functions

In this paper we derive some general conditions in order to prove the Schurconvexity of a class of symmetric functions. The log-convexity conditions which appear in this paper will contradicts one of the results of K. Guan from [2]. Also, we prove that a special class of rational maps are Schur-convex functions in Rn +. As an application, Ky-Fan’s inequality is generalized. 2010 Mathematics Sub...

Fast evaluation, weights and nonlinearity of rotation-symmetric functions

We study the nonlinearity and the weight of the rotation-symmetric (RotS) functions defined by Pieprzyk and Qu [6]. We give exact results for the nonlinearity and weight of 2-degree RotS functions with the help of the semi-bent functions [2] and we give the generating function for the weight of the 3-degree RotS function. Based on the numerical examples and our observations we state a conjectur...

The Evaluation of a Class of Functions

Here the exponents m, ni, W2, ■ • •, nr are real, with m> —\, and, in the examples we shall consider, the parameters Ai, A2, • • •, Ar are real and positive. Under those circumstances the integral (3) will converge provided p > 0 and |0| < it, the last condition being imposed to avoid possible singularities of the integrand on the positive real axis. In some cases (3) will also converge when p ...