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Titlebook: Hardy Type Inequalities on Time Scales; Ravi P. Agarwal,Donal O‘Regan,Samir H. Saker Book 2016 Springer International Publishing Switzerla

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978-3-319-83034-6Springer International Publishing Switzerland 2016
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Hardy and Littlewood Type Inequalities,present extensions of Hardy-type inequalities on time scales. These dynamic inequalities not only contain the integral and discrete inequalities but can be extended to different types of time scales. The chapter is divided into five sections and is organized as follows.
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Copson-Type Inequalities,Walsh on discrete time scales and we also consider converses of these inequalities. This chapter is divided into four sections and is organized as follows. In Sect. ., we prove a time scale version of a Copson inequality and in Sect. ., we consider generalized Copson type inequalities. In Sect. ., we present converses of Copson-type inequalities.
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Littlewood-Bennett Type Inequalities, In Sect. 4.1 we give a generalization and a time scale version of his inequality (which he proved in 1967). In Sects. 4.2 and 4.3 we present time scale versions of extensions of Littlewood’s results due to Bennett. In Sect. 4.4, we extend the “Sneak-Out Principle” due to Bennett to time scales.
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https://doi.org/10.1007/978-3-319-44299-0Hardy and Littlewood Type Inequalities; Copson-Type Inequalities; Inequalities on Time Scales; Inequali
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