논문KCI 등재
Specific examples of exponential weights
대한수학회 (The Korean Mathematical Society)|2009.04|대한수학회논문집 (Communications of the KMS)|제24권 제2호|pp. 303-319
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Let Q∈{C}^2 : R→[0,∞) be an even function. Then we will consider the exponential weights w(x)=exp(-Q(x)) in the weight class from [2]. 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.
Abstract
Let Q∈{C}^2 : R→[0,∞) be an even function. Then we will consider the exponential weights w(x)=exp(-Q(x)) in the weight class from [2]. 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.
참고문헌 (3)
- Y. Kanjin, "Pointwise convergence of Hermite-Fejér interpolation of higher order for Freud weights", Tohoku. Math., 46, pp.181~206 (1994)
- A. L. Levin, "Orthogonal Polynomials for Exponential Weights" (2001), Springer
- P. Vértesi, "Hermite-Fejer interpolations of higher order. I", Acta Math. Hungar., 54, pp.135~152 (1989)
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