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Paper Title:
Inequalities for the Area Balance of Functions of Bounded Variation
Author(s):
Sever S. Dragomir1,2
1Mathematics, School of Engineering
& Science
Victoria University, PO Box 14428
Melbourne City, MC 8001,
Australia
E-mail: sever.dragomir@vu.edu.au
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
URL:
http://rgmia.org/dragomir
Abstract:
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.
Full Text PDF: