Hardy-knopp-type inequalities on time scales

Dynamic Systems and Applications

Volumn 17, Issue 3-4, 2008, Pages 477-486

  Ozkan, Umut Mutlu ^a   Yildirim, Huseyin ^a  

^a AFYON KOCATEPE UNIVERSITY   (Turkey)

Author keywords

Delta integral; Double integral; Hardy's inequality; Weights

Indexed keywords

EID: 57349129828     PISSN: 10562176     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (11)

1. C. D. Ahlbrandt and C. Morian, Partial differential equations on time scales, Journal of Computational and Applied Mathematics 141(2002), no.1-2, 35-55.
2. M. Bohner and A. Peterson, Dynamic equations on time scales: An introduction with applications, Birkhauser, Boston, 2001.
3. M. Bohner and G. Sh. Guseinov, Multiple integration on time scales, Dynamic Systems and Applications 14(2005), no.3-4, 579-606.
4. L. Bougoffa, On Minkowski and Hardy integral imequality, J. Inequal. in Pure & Appl. Math. 7(2), 2006.
5. A. Čižmešija, J. Pečarić and L.-E. Persson, On strengthened Hardy and Pólya-Knopp's Inequalities, J. Approx. Theory 125(2003), 74-84.
6. G. H. Hardy, Notes on a theorem of Hilbert, Math. Z. 6(1920), 314-317.
7. G. H. Hardy, Notes on some points in the Integral calculus (60), Messenger Math. 54(1925) 150-156.
8. S. Kaijser, L.-E. Persson and A. Oberg, On Carleman and Knopp's Inequalities, J. Approx. Theory 117(2002), 140-151.
9. S. Kaijser, L. Nikolova, L.-E. Persson and A. Wedestig, Hardy-type inequalities via convexity, Math. Inequal. & Appl. 8(2005) 403-417.
10. S. G. Krantz, Jensen's inequality, Handbook of Complex Variables, Boston, MA: Birkhauser, p. 118,1999.
11. P. Řehák, Hardy inequality on time scales and its application to half-linear dynamic equations, J. Inequal. Appl. 5(2005), 495-507.