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학술저널

GOLDEN RATIO RIESZ-NAGY-TAKACS DISTRIBUTION

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We study some properties of the Riemann-Stieltjes in- tegrals with respect to the Riesz-Nagy-Takacs distribution Ha;p and its inverse Hp;a on the unit interval satisfying the equation 1¡a = a2 and p = 1¡a. Using the properties of the dual distribu-tions Ha;p and Hp;a, we compare the Riemann-Stieltjes integrals of Ha;p over some essential intervals with that of its inverse Hp;a over the related intervals.

1. Introduction

2. Preliminaries

3. Main results

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