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2014 Time scales Hardy-type inequalities via superquadracity
James Adedayo Oguntuase, Lars-Erik Persson
Ann. Funct. Anal. 5(2): 61-73 (2014). DOI: 10.15352/afa/1396833503

Abstract

In this paper some new Hardy-type inequalities on time scales are derived and proved using the concept of superquadratic functions. Also, we extend Hardy-type inequalities involving superquadratic functions with general kernels to the case with arbitrary time scales. Several consequences of our results are given and their connection with recent results in the literature are pointed out and discussed.

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James Adedayo Oguntuase. Lars-Erik Persson. "Time scales Hardy-type inequalities via superquadracity." Ann. Funct. Anal. 5 (2) 61 - 73, 2014. https://doi.org/10.15352/afa/1396833503

Information

Published: 2014
First available in Project Euclid: 7 April 2014

zbMATH: 1368.26026
MathSciNet: MR3192010
Digital Object Identifier: 10.15352/afa/1396833503

Subjects:
Primary: ‎46G12
Secondary: 47B34 , 47J20

Keywords: Hardy-Knopp type inequalities , Hardy-type inequalities , subquadratic function , superquadratic functions , Time scales

Rights: Copyright © 2014 Tusi Mathematical Research Group

Vol.5 • No. 2 • 2014
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