ANOTHER VIEW OF THE LEVINSON INTEGRAL INEQUALITY

Document Type : Original Article

Author
Christophe Chesneau
Department of Mathematics, LMNO, University of Caen-Normandie, 14032 Caen, France
10.22034/maco.5.1.2
Abstract
 Abstract. In this article, we extend the applicability of the Levinson integral inequality. In particular, we show that the ratio expression of the main integrated function can be avoided, as well as some monotonicity assumptions, and that a weight function appears naturally in the integral of the upper bound. These generalizations are made by revisiting an existing proof in the literature. Some examples and further integral inequalities based on the obtained weight function are given.

Keywords

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