Jung, Heesun; Sakai, Ryozi Specific examples of exponential weights. (English) Zbl 1168.41305 Commun. Korean Math. Soc. 24, No. 2, 303-319 (2009). Summary: Let \(Q\in {\mathbb{C}^2}: \mathbb{R}\rightarrow [0,\infty)\) be an even function. Then we will consider the exponential weights \(w(x)=\exp(-Q(x))\) in the weight class from E. Levin and D. S. Lubinsky [Orthogonal polynomials for exponential weights, Springer, New York (2001; Zbl 0997.42011)]. In the paper, we will give some relations among exponential weights in this class and introduce a new weight subclass. In addition, we will investigate some properties of the typical and specific weights in these weight classes. Cited in 12 Documents MSC: 41A10 Approximation by polynomials 41A17 Inequalities in approximation (Bernstein, Jackson, Nikol’skiĭ-type inequalities) Keywords:exponential weights Citations:Zbl 0997.42011 PDFBibTeX XMLCite \textit{H. Jung} and \textit{R. Sakai}, Commun. Korean Math. Soc. 24, No. 2, 303--319 (2009; Zbl 1168.41305) Full Text: DOI