@Article{Agarwal2001, author=" R. Agarwal, M. Bohner, A. Peterson", title=" Inequalities on time scales: a survey", journal="Math. Inequal. Appl.", year="2001", pages=" 535-557. ", volume="4" } @Article{Ahmad2010, author="F. Ahmad, P. Cerone, S. S. Dragomir, N. A. Mir", title="On some bounds of Ostrowski and Čebyšev type", journal="J. Math. Inequal.", year="2010", pages=" 53-65. ", volume="4" } @Article{Atici2006, author=" F. M. Atici, D. C. Biles, A. Lebedinsky", title="An application of time scales to economics", journal="Math. Comput. Modelling", year="2006", pages="718-726. ", volume="43" } @Article{Bohner2007, author="M. Bohner, M. Fan, J. M. Zhang", title="Periodicity of scalar dynamic equations and applications to population models", journal="J. Math. Anal. Appl.", year="2007", pages="1-9. ", volume="330" } @Book{Bohner2001, author=" M. Bohner, A. Peterson ", title="Dynamic equations on time scales", year="2001", publisher="Birkhäuser Boston, Boston", address="MA" } @Book{Bohner2003, author="M. Bohner, A. Peterson", title="Advances in dynamic equations on time scales", year="2003", publisher="Birkhäuser Boston, Boston", address="MA" } @Article{Bohner2007, author="M. Bohner, T. Matthews", title="The Grüss inequality on time scales", journal="Commun. Math. Anal., (electronic).", year="2007", pages="1-8", volume="3" } @Article{Bohner2008, author="M. Bohner, T. Matthews", title="Ostrowski inequalities on time scales", journal="JIPAM. J. Inequal. Pure Appl. Math.", year="2008", pages="8 pages.", volume="9" } @Article{Bohner2011, author=" M. Bohner, T. Mathews, A. Tuna ", title="Diamond-alpha Grüss type inequalities on time scales", journal="Int. J. Dyn. Syst. Differ. Equ.", year="2011", pages="234-247. ", volume="3" } @Article{Bohner2011, author="M. Bohner, T. Mathews, A. Tuna", title="Weighted Ostrowski-Grüss inequalities on time scales", journal="Afr. Diaspora J. Math.", year="2011", pages=" 89-99. ", volume="12" } @Article{Cerone2002, author="P. Cerone", title="A new Ostrowski type inequality involving integral means over end intervals", journal="Tamkang J. Math.", year="2002", pages="109-118.", volume="33" } @Article{Dinu2007, author="C. Dinu", title="Ostrowski type inequalities on time scales", journal="An. Univ. Craiova Ser. Mat. Inform.", year="2007", pages="43-58. ", volume="34" } @Article{Dragomir1999, author=" S. S. Dragomir, P. Cerone, J. Roumeliotis, S. A. Wang", title="A weighted version of Ostrowski inequality for mappings of Hölder type and applications in numerical analysis", journal="Bull. Math. Soc. Sci. Math. Roumanie (N.S.)", year="1999", pages="301-314. ", volume="42(90)" } @Article{Dragomir2001, author="S. S. Dragomir", title="A generalization of the Ostrowski integral inequality for mappings whose derivatives belong to \(L_p[a; b]\) and applications in numerical integration", journal="J. Math. Anal. Appl.", year="2001", pages="605-626. ", volume="255" } @Article{Dragomir2008, author=" S. S. Dragomir", title="Refinements of the generalised trapezoid and Ostrowski inequalities for functions of bounded variation", journal="Arch. Math. (Basel)", year="2008", pages=" 450-460. ", volume="91" } @Article{Dragomir2011, author="S. S. Dragomir", title="Ostrowski's type inequalities for some classes of continuous functions of selfadjoint operators in Hilbert spaces", journal="Comput. Math. Appl.", year="2011", pages="4439-4448. ", volume="62" } @Article{Dragomir2014, author="S. S. Dragomir", title="Refinements of the Ostrowski inequality in terms of the cumulative variation and applications", journal="Analysis (Berlin)", year="2014", pages="223-240. ", volume="34" } @Book{Hilger1988, author="S. Hilger", title="Ein Mabkettenkalkül mit Anwendung auf Zentrumsmannigfaltigkeiten", year="1988", publisher="PhD thesis", address="Univarsi. Würzburg" } @Article{Hussain 2013, author="S. Hussain ", title="Generalization of Ostrowski and Čebyšev type inequalities involving many functions", journal=" Aequationes Math.", year="2013", pages="409-419. ", volume="85" } @Article{Hussain2011, author="S. Hussain, M. A. Latif, M. Alomari ", title="Generalized double-integral Ostrowski type inequalities on time scales", journal="Appl. Math. Lett.", year="2011", pages="1461-1467. ", volume="24" } @Book{Kac2002, author=" V. Kac, P. Cheung", title="Quantum Calculus", year="2002", publisher="Springer-Verlag", address=" New York" } @Article{Li2010, author="W. N. Li", title=" Some delay integral inequalities on time scales ", journal="Comput. Math. Appl.", year="2010", pages="1929-1936. ", volume="59" } @Article{Li2010, author=" W. N. Li, W. H. Sheng", title="Some Gronwall type inequalities on time scales", journal="J. Math. Inequal.", year="2010", pages=" 67-76. ", volume="4" } @Book{Lakshmikantham1996, author=" V. Lakshmikantham, S. Sivasundaram, B. Kaymakcalan", title=" Dynamic systems on measure chains", year="1996", publisher="Kluwer Acad. Publ.", address="Dordrecht" } @Article{Lapenta 2012, author=" G. Lapenta ", title="Particle simulations of space weather", journal="J. Comput. Phys.", year="2012", pages="795-821.", volume="231" } @Article{Liu2009, author="W. J. Liu, Q.-A. Ngô", title="An Ostrowski-Grüss type inequality on time scales", journal="Comput. Math. Appl.", year="2009", pages="1207-1210. ", volume="58" } @Article{Liu2008, author=" W. J. Liu, Q.-A. Ngô", title="A generalization of Ostrowski inequality on time scales for k points", journal=" Appl. Math. Comput.", year="2008", pages="754-760.", volume="203" } @Article{Liu2008, author="W. J. Liu, Q.-A. Ngô, W. B. Chen", title="A perturbed Ostrowski-type inequality on time scales for k points for functions whose second derivatives are bounded", journal="J. Inequal. Appl., Art. ID 597241", year="2008", pages="12 pages.", volume="2008" } @Article{Liu2009, author="W. J. Liu, Q.-A. Ngô, W. B. Chen ", title="A new generalization of Ostrowski type inequality on time scales", journal="An. Ştiinţ. Univ. ''Ovidius'' Constanţa Ser. Mat.", year="2009", pages="101-114. ", volume="17" } @Article{Liu2010, author="W. J. Liu, Q.-A. Ngô, W. B. Chen", title="Ostrowski type inequalities on time scales for double integrals", journal="Acta Appl. Math.", year="2010", pages="477-497. ", volume="110" } @Article{Liu2012, author="W. J. Liu, A. Tuna", title="Weighted Ostrowski, Trapezoid and Grüss type inequalities on time scales", journal="J. Math. Inequal.", year="2012", pages="381-399.", volume="6" } @Article{Liu2014, author="W. J. Liu, A. Tuna, Y. Jiang", title="New weighted Ostrowski and Ostrowski-Grüss Type inequalities on time scales", journal="An. Ştiinţ. Univ. Al. I. Cuza Iaşi. Mat. (N.S.)", year="2014", pages="57-76. ", volume="60" } @Article{Liu2014, author="W. J. Liu, A. Tuna, Y. Jiang", title="On weighted Ostrowski type, Trapezoid type, Grüss type and Ostrowski-Grüss like inequalities on time scales", journal=" Appl. Anal.", year="2014", pages="551-571.", volume="93" } @Article{Ngo2009, author="Q.-A. Ngo, W. J. Liu", title=" A sharp Grüss type inequality on time scales and application to the sharp Ostrowski- Grüss inequality", journal="Commun. Math. Anal.", year="2009", pages=" 33-41. ", volume="6" } @Article{Ostrowski 1937, author="A. Ostrowski ", title="Über die Absolutabweichung einer differentiierbaren Funktion von ihrem Integralmittelwert ", journal="Comment. Math. Helv.", year="1937", pages="226-227. ", volume="10" } @Article{Sarikaya2008, author="M. Z. Sarikaya, N. Aktan, H. Yildirim", title="On weighted Čebyšev-Grüss type inequalities on time scales", journal=" J. Math. Inequal.", year="2008", pages="185-195. ", volume="2" } @Article{Sarikaya2010, author=" M. Z. Sarikaya", title="New weighted Ostrowski and Čebyšev type inequalities on time scales", journal="Comput. Math. Appl.", year="2010", pages="1510-1514. ", volume="60" } @Article{Soria-Hoyo2009, author="C. Soria-Hoyo, F. Pontiga, A. Castellanos", title="A PIC based procedure for the integration of multiple time scale problems in gas discharge physics", journal=" J. Comput. Phys.", year="2009", pages="1017-1029. ", volume="228" } @Article{Tseng2008, author=" K.-L. Tseng, S. R. Hwang, S. S. Dragomir", title=" Generalizations of weighted Ostrowski type inequalities for mappings of bounded variation and their applications", journal="Comput. Math. Appl.", year="2008", pages="1785-1793.", volume="55" } @Article{Tuna2010, author="A. Tuna, D. Daghan", title="Generalization of Ostrowski and Ostrowski-Grüss type inequalities on time scales", journal="Comput. Math. Appl.", year="2010", pages="803-811.", volume="60" } @Article{Tuna2012, author="A. Tuna, Y. Jiang, W. J. Liu", title="Weighted Ostrowski, Ostrowski-Grüss and Ostrowski- Čebyhev Type Inequalities on Time Scales", journal="Publ. Math. Debrecen", year="2012", pages=" 81-102.", volume="81" }