Browsing by Author "Shi-Haw Cheng"

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An Extension of the Dieudonne's Mean Value Theorem
(交大學刊編輯委員會, 1971-04)
鄭希灝
;
Shi-Haw Cheng
In this paper we extend the Dieudonne's mean value theorem to the f(x) which is a mapping of 〔a,b〕into a topological linear space and the Ø(x) which is a continuous realvalued function on 〔a,b〕. One of the sufficient conditions is the existence of the right derivative of f. Particulary, if f(x) is a mapping of 〔a,b〕into〔c,d〕, the sufficient condition can be relaxed to the existence of the Dini derivative.
Some Notes on Uniform Distribution of Sequences of Integers
(交大學刊編輯委員會, 1973-02)
鄭希灝
;
Shi-Haw Cheng
In this paper we discuss the distribution property of any geometric progression ｛ar^n｝with a and r integers and we apply the result for the uniform distribution of sequences of real numbers mod 1.