Quasilattice approximation of statistical systems with strong superstable interactions: Correlation functions

Remarks on Strong Approximation of Continuous Functions

In this note, some embedding relations among many important functional classes are considered. Results of Leindler [7] are extended and improved. 2000 Mathematics Subject Classification: 26A15, 42A10.

Superstable Control Systems

In this paper we show how the newly introduced concept of superstable systems can be used to efficiently solve some traditionally hard design problems in control theory, such as stabilization with fixed–order controllers, rejection of bounded disturbances and robust controller design. Moreover, this approach also allows for formulating and treating some new problems such as the “linear-linear r...

A Characterization of First Order Phase Transitions for Superstable Interactions in Classical Statistical Mechanics (Extended Version)

We give bounds on finite volume expectations for a set of boundary conditions containing the support of any tempered Gibbs state and prove a theorem connecting the behavior of Gibbs states to the differentiability of the pressure for continuum statistical mechanical systems with long range superstable potentials. Convergence of grandcanonical Gibbs states is also studied. This is an extended ve...

APPROXIMATION OF 3D-PARAMETRIC FUNCTIONS BY BICUBIC B-SPLINE FUNCTIONS

In this paper we propose a method to approximate a parametric 3 D-function by bicubic B-spline functions

On Padé Approximation of Some Practical Functions