Abstract
The present work is concerned with an integration by parts formula for the Pk-integral of De Sarkar and Das, and of the equivalent Pk-integral of Bullen. The process involves a simpler and updated version of that for the Zk−1-integral of Bergin. If f is Pk – (Zk−1)-integrable and G is of bounded kth variation, then fG is Pk – (Zk−1)-integrable.
Publisher
Cambridge University Press (CUP)
Reference19 articles.
1. A Banach space of functions of generalized variation
2. On absolutely kth continuous functions
3. Convergence in kth variation and RSk integrals
4. A new characterisation of k-fold Legesgue integral;Das;Comment. Math. Prace Mat.,1988
5. On functions of bounded essential kth variation;De Sarkar;Bull. Calcutta Math. Soc.,1986
Cited by
2 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