On functions of bounded ω-variation, II

Author:

Bhakta P. C.

Abstract

Let ω(x) be a non-decreasing function defined in the interval [a, b]. We extend the definition to all x by taking ω(x) = ω(a) for x < a and ω(x) = ω(b) for x > b. R. L. Jeffery [2] has denoted by the class of functions F(x) defined as follows:

Publisher

Cambridge University Press (CUP)

Reference4 articles.

1. [4] Natanson I. P. , Theory of functions of a real variable (New York, 1955), p.205.

2. Upper and lower Lebesgue integrals;Kennedy;Proc. Lond. Math. Soc.,1930

3. [1] Bhakta P. C. , On functions of bounded ω-variation. Communicated to ‘Rivista di Matematica della University Parma’ for publication.

4. Generalized Integrals with Respect to Functions of Bounded Variation

Cited by 1 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Some Results on ω-Derivatives and BV-ω Functions;Journal of the Australian Mathematical Society;1969-05

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