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초록· 키워드
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In this paper, the moments of the Riesz-Nágy-Takács(RNT) distribution over a general interval [a,b]⊂[0,1], are found through the moments of the RNT distribution over the unit interval, [0,1]. This is done using some special features of the distribution and the fact that [0,1] is a self-similar set in a dynamical system generated by the RNT distribution. The results are important for the study of the orthogonal polynomials with respect to the RNT distribution over a general interval.
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참고문헌 (9)
참고문헌 신청
F. R. Lad / 1992 / The moments of the Cantor distribution / Statist. Probab. Lett. 13 (4) : 307 ~ 310
H. Fischer / 1995 / Asymptotics for the moments of singular distributions / J. Approx. Theory 82 (3) : 362 ~ 374
I. S. Baek / 2008 / A note on the moments of the Riesz-Nagy-Takacs distribution / J. Math. Anal. Appl. 348 (1) : 165 ~ 168
J. Paradis / 2007 / Riesz-Nagy singular functions revisited / J. Math. Anal. Appl. 329 (1) : 592 ~ 602
K. J. Falconer / 1997 / Techniques in Fractal Geometry / John Wiley & Sons, Ltd.
H. Fischer / 1995 / Asymptotics for the moments of singular distributions / J. Approx. Theory 82 (3) : 362 ~ 374
I. S. Baek / 2008 / A note on the moments of the Riesz-Nagy-Takacs distribution / J. Math. Anal. Appl. 348 (1) : 165 ~ 168
J. Paradis / 2007 / Riesz-Nagy singular functions revisited / J. Math. Anal. Appl. 329 (1) : 592 ~ 602
K. J. Falconer / 1997 / Techniques in Fractal Geometry / John Wiley & Sons, Ltd.
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