On the generalized Ball bases

Degree Reduction of Disk Wang-Bézier Type Generalized Ball Curves

A disk Wang-Bézier type generalized Ball curve is a Wang-Bézier type generalized Ball curve whose control points are disks in a plane. It can be viewed as a parametric curve with error tolerances. In this paper, we discuss the problem of degree reduction of disk Wang-Bézier type generalized Ball curve, that is, bounding disk Wang-Bézier type generalized Ball curves with lower degree disk Wa...

Degree Reduction of Disk Wang-Bézier Type Generalized Ball Curves

A disk Wang-Bézier type generalized Ball curve is a Wang-Bézier type generalized Ball curve whose control points are disks in a plane. It can be viewed as a parametric curve with error tolerances. In this paper, we discuss the problem of degree reduction of disk Wang-Bézier type generalized Ball curve, that is, bounding disk Wang-Bézier type generalized Ball curves with lower degree disk Wa...

Generalized Frames in Hilbert Spaces

A characterization of L-dual frames and L-dual Riesz bases

This paper is an investigation of $L$-dual frames with respect to a function-valued inner product, the so called $L$-bracket product on $L^{2}(G)$, where G is a locally compact abelian group with a uniform lattice $L$. We show that several well known theorems for dual frames and dual Riesz bases in a Hilbert space remain valid for $L$-dual frames and $L$-dual Riesz bases in $L^{2}(G)$.

The Survey of the Asymmetric Effects of Inflation's Positive and Negative Shocks on Inflation Uncertainty in Iran Through the Extending Ball Model (1992)

The purpose of current paper is to survey the asymmetric effects of inflation's positive and negative shocks on inflation uncertainty in short-run and long-run. For this end, first, the Ball model (1992) has been extended through the decomposition of inflation shocks to money demand's positive and negative shocks and money supply's positive and negative shocks. Then, through using nonlinear aut...