Generalized ostrowski's inequality on time scales

Journal of Inequalities in Pure and Applied Mathematics

Volumn 9, Issue 4, 2008, Pages

  Karpuz, Başak ^a   Özkan, Umut Mutlu ^a  

^a AFYON KOCATEPE UNIVERSITY   (Turkey)

Author keywords

Montgomery's identity; Ostrowski's inequality; Time scales

Indexed keywords

EID: 59249086390     PISSN: None     EISSN: 14435756     Source Type: Journal    
DOI: None     Document Type: Article

References (9)

1. M. BOHNER AND A, PETERSON, Dynamic Equations on Time Scales: An Introduction with Applications, Boston, MA, Birkhäuser Boston Inc., 2001.
2. M. BOHNER AND T. MATTHEWS, Ostrowski inequalities on lime scales, J. Inequal. Pure Appl. Math., 9(1) (2008), Art. 6. [ONLINE: http://jipam.vu.edu.au/article.php?sid=940].
3. S.S. DRAGOMIR, The discrete version of Ostrowski's inequality in normed linear spaces, J. Inequal. Pure Appl. Math., 3(1) (2002), Art. 2. [ONLINE: http://jipam.vu.edu.au/article.php?sid=155:].
4. S.S. DRAGOMIR, Ostrowski type inequalities for isotonic linear lunclionals, J. Inequal. Pure Appl. Math., 3(5) (2002), Art. 68. [ONLINE: http://jipam.vu.edu.au/article.php?sid=220].
5. B. GAVREA AND I. GAVREA, Ostrowski type inequalities from a linear functional point of view, J. Inequal. Pure Appl. Math., 1(2) (2000), Art. 11. [ONLINE: http://jipam.vu.edu.au/article.php?sid=104].
6. D.S. MITRINOVIĆ, J. E. PEČARIĆ AND A.M. FINK, Inequalities Involving Functions and their Integrals and Derivatives, Mathematics and its Applications, Dordrecht, Kluwer Academic Publishers, vol. 53, 1991.
7. V. KAC AND P. CHEUNG, Quantum Calculus, Universitext, Springer, New York, NY, USA, 2002.
8. B. KARPUZ, Unbounded oscillation of higher-order nonlinear delay dynamic equations of neutral type with oscillating coefficients, (submitted).
9. A. OSTROWSKI, Über die absolutabweichung einer differenzierbaren funktion von ihrem integralmittelwert, Comment. Math. Helv., 10(1) (1937), 226-227.