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Dynamic Littlewood-type inequalities


Authors: Ravi Agarwal, Martin Bohner and Samir Saker
Journal: Proc. Amer. Math. Soc. 143 (2015), 667-677
MSC (2010): Primary 26D10, 26D15, 34A40, 34N05, 39A12, 39A13
DOI: https://doi.org/10.1090/S0002-9939-2014-12492-0
Published electronically: October 3, 2014
MathSciNet review: 3283653
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Abstract: In this paper, we present some dynamic inequalities on time scales. As special cases, these results contain and improve some integral inequalities and some discrete inequalities formulated by Littlewood in connection with some work on the general theory of orthogonal series.


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Additional Information

Ravi Agarwal
Affiliation: Department of Mathematics, Texas A&M University-Kingsville, Kingsville, Texas 78363
Email: agarwal@tamuk.edu

Martin Bohner
Affiliation: Department of Mathematics and Statistics, Missouri University of Science and Technology, Rolla, Missouri 65409-0020
Email: bohner@mst.edu

Samir Saker
Affiliation: Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt
Email: shsaker@mans.edu.eg

DOI: https://doi.org/10.1090/S0002-9939-2014-12492-0
Keywords: Littlewood's inequality, time scales, dynamic inequality
Received by editor(s): April 28, 2013
Published electronically: October 3, 2014
Communicated by: Sergei K. Suslov
Article copyright: © Copyright 2014 American Mathematical Society