Levinson-Type Inequalities

Ravi P. Agarwal, Donal O’Regan and Samir H. Saker
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Ravi P. Agarwal: Texas A&M University–Kingsville, Department of Mathematics
Donal O’Regan: National University of Ireland, School of Mathematics Statistics and Applied Mathematics
Samir H. Saker: Mansoura University, Department of Mathematics

Chapter Chapter 6 in Hardy Type Inequalities on Time Scales, 2016, pp 153-219 from Springer

Abstract: Abstract This chapter considers time scale versions of Levinson, Chang and Pachpatte type inequalities. The chapter is divided into six sections and is organized as follows. In Sects. 6.1 and 6.2 we present a variety of dynamic inequalities of Levinson type on time scales. In Sect. 6.3 we consider dynamic inequalities of Pachpatte type via convexity. Section 6.4 considers dynamic inequalities of Yang and Hwang type on time scales. In Sect. 6.5 we present dynamic inequalities of Chan type on time scales and in Sect. 6.6 we consider dynamic inequalities of Pachpatte type containing the logarithmic function.

Keywords: Levinson Type; Inequality Dynamics; Pachpatte; Time Scale Version; Type Chan (search for similar items in EconPapers)
Date: 2016
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DOI: 10.1007/978-3-319-44299-0_6

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