Bernstein polynomial estimation provides a robust nonparametric technique for approximating both density and distribution functions. Based on the properties of Bernstein polynomials, which uniformly ...

The purposes in this Research Area are to spur innovation in basic science and to construct a new paradigm for materials science that contributes to more affluent daily life and social infrastructure, ...

We discuss the dynamic and structural properties of polynomial semigroups, a natural extension of iteration theory to random (walk) dynamics, where the semigroup G of complex polynomials (under the ...

Abstract: Reassigned operation is a technique to improve the representation quality of time-varying signals in the time-frequency domain. This paper presents the arbitrary higher-order reassigned ...

Polynomials and power functions are the foundation for modelling non-linear relationships. Polynomial functions such as quadratic, cubic and quartic model variables raised to exponents of different ...

Analytic properties of three types of multiple zeta functions, that is, the Euler-Zagier type, the Mordell-Tornheim type and the Apostol-Vu type have been studied by a lot of authors. In particular, ...

Abstract: This article presents an expanded form of time-to-go polynomial guidance (TPG), which generalizes constant-gain TPG to accommodate arbitrary time-varying functions. The proposed guidance law ...