The Australian Journal of Mathematical Analysis and Applications

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ISSN 1449-5910  


Paper Information

Paper Title:

Inequalities for the Area Balance of Functions of Bounded Variation


Sever S. Dragomir1,2

1Mathematics, School of Engineering & Science
Victoria University, PO Box 14428
Melbourne City, MC 8001,

2DST-NRF Centre of Excellence in the Mathematical and Statistical Sciences,
School of Computer Science & Applied Mathematics,
University of the Witwatersrand,
Private Bag 3, Johannesburg 2050,
South Africa


We introduce the area balance function associated to a Lebesgue integrable function f:[a,b] C by

Several sharp bounds for functions of bounded variation are provided. Applications for Lipschitzian and convex functions are also given.

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