%0 Journal Article %T Some new generalizations of Ostrowski type inequalities on time scales involving combination of \(\triangle\)-integral means %A Jiang, Yong %A Rüzgar, Hüseyin %A Liu, Wenjun %A Tuna, Adnan %J Journal of Nonlinear Sciences and Applications %D 2014 %V 7 %N 5 %@ ISSN 2008-1901 %F Jiang2014 %X In this paper we obtain some new generalizations of Ostrowski type inequalities on time scales involving combination of \(\triangle\)-integral means, i.e., a new Ostrowski type inequality on time scales involving combination of \(\triangle\)-integral means, two Ostrowski type inequalities for two functions on time scales, and some new perturbed Ostrowski type inequalities on time scales. We also give some other interesting inequalities as special cases. %9 journal article %R 10.22436/jnsa.007.05.03 %U http://dx.doi.org/10.22436/jnsa.007.05.03 %P 311--324 %0 Journal Article %T Inequalities on time scales: a survey %A R. Agarwal %A M. Bohner %A A. Peterson %J Math. Inequal. Appl. %D 2001 %V 4 %F Agarwal2001 %0 Journal Article %T On some bounds of Ostrowski and Čebyšev type %A F. Ahmad %A P. Cerone %A S. S. Dragomir %A N. A. Mir %J J. Math. Inequal. %D 2010 %V 4 %F Ahmad2010 %0 Journal Article %T An application of time scales to economics %A F. M. Atici %A D. C. Biles %A A. Lebedinsky %J Math. Comput. Modelling %D 2006 %V 43 %F Atici2006 %0 Journal Article %T Periodicity of scalar dynamic equations and applications to population models %A M. Bohner %A M. Fan %A J. M. Zhang %J J. Math. Anal. Appl. %D 2007 %V 330 %F Bohner2007 %0 Book %T Dynamic equations on time scales %A M. Bohner %A A. Peterson %D 2001 %I Birkhäuser Boston, Boston %C MA %F Bohner2001 %0 Book %T Advances in dynamic equations on time scales %A M. Bohner %A A. Peterson %D 2003 %I Birkhäuser Boston, Boston %C MA %F Bohner2003 %0 Journal Article %T The Grüss inequality on time scales %A M. Bohner %A T. Matthews %J Commun. Math. Anal., (electronic). %D 2007 %V 3 %F Bohner2007 %0 Journal Article %T Ostrowski inequalities on time scales %A M. Bohner %A T. Matthews %J JIPAM. J. Inequal. Pure Appl. Math. %D 2008 %V 9 %F Bohner2008 %0 Journal Article %T Diamond-alpha Grüss type inequalities on time scales %A M. Bohner %A T. Mathews %A A. Tuna %J Int. J. Dyn. Syst. Differ. Equ. %D 2011 %V 3 %F Bohner2011 %0 Journal Article %T Weighted Ostrowski-Grüss inequalities on time scales %A M. Bohner %A T. Mathews %A A. Tuna %J Afr. Diaspora J. Math. %D 2011 %V 12 %F Bohner2011 %0 Journal Article %T A new Ostrowski type inequality involving integral means over end intervals %A P. Cerone %J Tamkang J. Math. %D 2002 %V 33 %F Cerone2002 %0 Journal Article %T Ostrowski type inequalities on time scales %A C. Dinu %J An. Univ. Craiova Ser. Mat. Inform. %D 2007 %V 34 %F Dinu2007 %0 Journal Article %T A weighted version of Ostrowski inequality for mappings of Hölder type and applications in numerical analysis %A S. S. Dragomir %A P. Cerone %A J. Roumeliotis %A S. A. Wang %J Bull. Math. Soc. Sci. Math. Roumanie (N.S.) %D 1999 %V 42(90) %F Dragomir1999 %0 Journal Article %T A generalization of the Ostrowski integral inequality for mappings whose derivatives belong to \(L_p[a; b]\) and applications in numerical integration %A S. S. Dragomir %J J. Math. Anal. Appl. %D 2001 %V 255 %F Dragomir2001 %0 Journal Article %T Refinements of the generalised trapezoid and Ostrowski inequalities for functions of bounded variation %A S. S. Dragomir %J Arch. Math. (Basel) %D 2008 %V 91 %F Dragomir2008 %0 Journal Article %T Ostrowski's type inequalities for some classes of continuous functions of selfadjoint operators in Hilbert spaces %A S. S. Dragomir %J Comput. Math. Appl. %D 2011 %V 62 %F Dragomir2011 %0 Journal Article %T Refinements of the Ostrowski inequality in terms of the cumulative variation and applications %A S. S. Dragomir %J Analysis (Berlin) %D 2014 %V 34 %F Dragomir2014 %0 Book %T Ein Mabkettenkalkül mit Anwendung auf Zentrumsmannigfaltigkeiten %A S. Hilger %D 1988 %I PhD thesis %C Univarsi. Würzburg %F Hilger1988 %0 Journal Article %T Generalization of Ostrowski and Čebyšev type inequalities involving many functions %A S. Hussain %J Aequationes Math. %D 2013 %V 85 %F Hussain 2013 %0 Journal Article %T Generalized double-integral Ostrowski type inequalities on time scales %A S. Hussain %A M. A. Latif %A M. Alomari %J Appl. Math. Lett. %D 2011 %V 24 %F Hussain2011 %0 Book %T Quantum Calculus %A V. Kac %A P. Cheung %D 2002 %I Springer-Verlag %C New York %F Kac2002 %0 Journal Article %T Some delay integral inequalities on time scales %A W. N. Li %J Comput. Math. Appl. %D 2010 %V 59 %F Li2010 %0 Journal Article %T Some Gronwall type inequalities on time scales %A W. N. Li %A W. H. Sheng %J J. Math. Inequal. %D 2010 %V 4 %F Li2010 %0 Book %T Dynamic systems on measure chains %A V. Lakshmikantham %A S. Sivasundaram %A B. Kaymakcalan %D 1996 %I Kluwer Acad. Publ. %C Dordrecht %F Lakshmikantham1996 %0 Journal Article %T Particle simulations of space weather %A G. Lapenta %J J. Comput. Phys. %D 2012 %V 231 %F Lapenta 2012 %0 Journal Article %T An Ostrowski-Grüss type inequality on time scales %A W. J. Liu %A Q.-A. Ngô %J Comput. Math. Appl. %D 2009 %V 58 %F Liu2009 %0 Journal Article %T A generalization of Ostrowski inequality on time scales for k points %A W. J. Liu %A Q.-A. Ngô %J Appl. Math. Comput. %D 2008 %V 203 %F Liu2008 %0 Journal Article %T A perturbed Ostrowski-type inequality on time scales for k points for functions whose second derivatives are bounded %A W. J. Liu %A Q.-A. Ngô %A W. B. Chen %J J. Inequal. Appl., Art. ID 597241 %D 2008 %V 2008 %F Liu2008 %0 Journal Article %T A new generalization of Ostrowski type inequality on time scales %A W. J. Liu %A Q.-A. Ngô %A W. B. Chen %J An. Ştiinţ. Univ. ''Ovidius'' Constanţa Ser. Mat. %D 2009 %V 17 %F Liu2009 %0 Journal Article %T Ostrowski type inequalities on time scales for double integrals %A W. J. Liu %A Q.-A. Ngô %A W. B. Chen %J Acta Appl. Math. %D 2010 %V 110 %F Liu2010 %0 Journal Article %T Weighted Ostrowski, Trapezoid and Grüss type inequalities on time scales %A W. J. Liu %A A. Tuna %J J. Math. Inequal. %D 2012 %V 6 %F Liu2012 %0 Journal Article %T New weighted Ostrowski and Ostrowski-Grüss Type inequalities on time scales %A W. J. Liu %A A. Tuna %A Y. Jiang %J An. Ştiinţ. Univ. Al. I. Cuza Iaşi. Mat. (N.S.) %D 2014 %V 60 %F Liu2014 %0 Journal Article %T On weighted Ostrowski type, Trapezoid type, Grüss type and Ostrowski-Grüss like inequalities on time scales %A W. J. Liu %A A. Tuna %A Y. Jiang %J Appl. Anal. %D 2014 %V 93 %F Liu2014 %0 Journal Article %T A sharp Grüss type inequality on time scales and application to the sharp Ostrowski- Grüss inequality %A Q.-A. Ngo %A W. J. Liu %J Commun. Math. Anal. %D 2009 %V 6 %F Ngo2009 %0 Journal Article %T Über die Absolutabweichung einer differentiierbaren Funktion von ihrem Integralmittelwert %A A. Ostrowski %J Comment. Math. Helv. %D 1937 %V 10 %F Ostrowski 1937 %0 Journal Article %T On weighted Čebyšev-Grüss type inequalities on time scales %A M. Z. Sarikaya %A N. Aktan %A H. Yildirim %J J. Math. Inequal. %D 2008 %V 2 %F Sarikaya2008 %0 Journal Article %T New weighted Ostrowski and Čebyšev type inequalities on time scales %A M. Z. Sarikaya %J Comput. Math. Appl. %D 2010 %V 60 %F Sarikaya2010 %0 Journal Article %T A PIC based procedure for the integration of multiple time scale problems in gas discharge physics %A C. Soria-Hoyo %A F. Pontiga %A A. Castellanos %J J. Comput. Phys. %D 2009 %V 228 %F Soria-Hoyo2009 %0 Journal Article %T Generalizations of weighted Ostrowski type inequalities for mappings of bounded variation and their applications %A K.-L. Tseng %A S. R. Hwang %A S. S. Dragomir %J Comput. Math. Appl. %D 2008 %V 55 %F Tseng2008 %0 Journal Article %T Generalization of Ostrowski and Ostrowski-Grüss type inequalities on time scales %A A. Tuna %A D. Daghan %J Comput. Math. Appl. %D 2010 %V 60 %F Tuna2010 %0 Journal Article %T Weighted Ostrowski, Ostrowski-Grüss and Ostrowski- Čebyhev Type Inequalities on Time Scales %A A. Tuna %A Y. Jiang %A W. J. Liu %J Publ. Math. Debrecen %D 2012 %V 81 %F Tuna2012