Continuous functions of bounded nth variation
نویسندگان
چکیده
منابع مشابه
Approximating real functions which possess nth derivatives of bounded variation and applications
The main aim of this paper is to provide an approximation for the function f which possesses continuous derivatives up to the order n−1 (n ≥ 1) and has the n−th derivative of bounded variation, in terms of the chord that connects its end points A = (a, f (a)) and B = (b, f (b)) and some more terms which depend on the values of the k derivatives of the function taken at the end points a and b, w...
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ژورنال
عنوان ژورنال: Proceedings of the Edinburgh Mathematical Society
سال: 1969
ISSN: 0013-0915,1464-3839
DOI: 10.1017/s0013091500012700