Time-scale integral inequalities

Journal of Inequalities in Pure and Applied Mathematics

Volumn 6, Issue 3, 2005, Pages

  Anderson, Douglas R ^a  

^a and Exercise Science   (United States)

Author keywords

Delta integral; Nabla integral; Taylor's Formula

Indexed keywords

EID: 24144485909     PISSN: 14435756     EISSN: 14435756     Source Type: Journal    
DOI: None     Document Type: Article

References (9)

1. R.P. AGARWAL AND M. BOHNER, Basic calculus on time scales and some of its applications, Results Math., 35(1-2) (1999), 3-22.
2. D.R. ANDERSON, Taylor polynomials for nabla dynamic equations on time scales, PanAmerican Math. J., 12(4) (2002), 17-27.
3. F.M. ATICI AND G.Sh. GUSEINOV, On Green's functions and positive solutions for boundary value problems on time scales, J. Comput. Appl. Math., 141 (2002) 75-99.
4. M. BOHNER AND A. PETERSON, Dynamic Equations on Time Scales: An Introduction with Applications, Birkhäuser, Boston (2001).
5. M. BOHNER AND A. PETERSON (Eds.), Advances in Dynamic Equations on Time Scales, Birkhäuser, Boston (2003).
6. H. GAUCHMAN, Some Integral Inequalities Involving Taylor's Remainder II, J. Inequal in Pure & Appl. Math., 4(1) (2003), Art. 1. [ONLINE: http://jipam.vu.edu.au/article.php?sid=237
7. H. GAUCHMAN, Integral Inequalities in q-Calculus, Comp. & Math. with Applics., 47 (2004), 281-300.
8. S. HILGER, Ein Maßkettenkalkül mit Anwendung auf Zentrumsmannigfaltigkeiten, PhD thesis, Universität Würzburg (1988).
9. C.C. YEH, F.H. WONG AND H.J. LI, Čebyšev's inequality on time scales, J. Inequal. in Pure & Appl. Math., 6(1) (2005), Art. 7. [ONLINE: http://jipam.vu.edu.au/article.php?sid=476