In this paper,we
obtain some new weighted Ostrowski-Grüss type inequalities on time scales. We
also give some other interesting inequalities as special cases.
[1]. Agarwal R., Bohner M., Peterson A., Inequalities on time scales: a survey, Math. Inequal. Appl., 2001; 4, 535-557.
[2]. Bohner M., Peterson A., Dynamic Equations on Time Scales. An Introduction with Applications, Birkhäuser Boston, Inc., Boston, MA, 2001.
[3]. Bohner M., Peterson A., Advances in dynamic equations on time scales, Birkhäuser Boston, Boston, MA, 2003.
[4]. Bohner M., Matthews T., Ostrowski inequalities on time scales, JIPAM. J. Inequal. Pure Appl. Math., 2008; 9, Article 6, 8 pp.
[5]. S.S. Dragomir and S. Wang, An inequality of Ostrowski-Grüss type and its applications to the estimation of error bounds for some special means and for some numarical quadrature rules, Comput. Math. Appl., 1997; 33 (11), pp. 16-20.
[6]. Hilger S., Ein Maβkettenkalkül mit Anwendung auf Zentrumsmannigfaltigkeiten, Ph.D. thesis, Universität Würzburg, Würzburg, Germany, 1988.
[7]. Lakshmikantham V., Sivasundaram S., Kaymakcalan B., Dynamic systems on measure chains, Mathematics and its Applications, 370, Kluwer Academic Publishers Group, Dordrecht, 1996.
[8]. Liu W., Tuna A., Jiang Y., On weighted Ostrowski type, Trapezoid type, Grüss type and Ostrowski-Grüss like inequalities on time scales, Applicable Analysis, 2014; Volume 93, Issue 3, 551-571.
[9]. Liu W., Tuna A., Jiang Y., New weighted Ostrowski and Ostrowski-Grüss type inequalities on time scales, Annals of the Alexandru Ioan Cuza University--Mathematics, 2014; Volume LX, Issue 1, 57-76.
[10]. Nwaeze E. R., A new weiğhted Ostrowski type inequality on arbitrary time scale, Journal of King Saud University-Science, 2017; volume 29, number 1, pp. 230-234.
[11]. Ostrowski A., Uber die Absolutabweichung einer differentiierbaren Funktion von ihrem Integralmittelwert, Comment. Math. Helv., 1937; 10, 226-227.
[12]. Tuna A., Daghan D., Generalization of Ostrowski and Ostrowski-Grüss type inequalities on time scales, Comput. Math. Appl., 2010; 60, 803-811.
[13]. Tuna A., Jiang Y., Liu W.J., Weighted Ostrowski, Ostrowski-Grüss and Ostrowski-Čebyšev Type Inequalities on Time Scales, Publ. Math. Debrecen, 2012; 81, 81-10
Zaman Skalasında Bazı Yeni Ağırlıklı Ostrowski-Grüss Tipi Eşitsizlikler
Bu makalede, zaman skalasında bazı yeni
ağırlıklı Ostrowski-Grüss tipi eşitsizlik elde edilmiştir. Buna ilaveten özel
durumlar olarak bazı diğer ilgili eşitsizlikler verilmiştir.
[1]. Agarwal R., Bohner M., Peterson A., Inequalities on time scales: a survey, Math. Inequal. Appl., 2001; 4, 535-557.
[2]. Bohner M., Peterson A., Dynamic Equations on Time Scales. An Introduction with Applications, Birkhäuser Boston, Inc., Boston, MA, 2001.
[3]. Bohner M., Peterson A., Advances in dynamic equations on time scales, Birkhäuser Boston, Boston, MA, 2003.
[4]. Bohner M., Matthews T., Ostrowski inequalities on time scales, JIPAM. J. Inequal. Pure Appl. Math., 2008; 9, Article 6, 8 pp.
[5]. S.S. Dragomir and S. Wang, An inequality of Ostrowski-Grüss type and its applications to the estimation of error bounds for some special means and for some numarical quadrature rules, Comput. Math. Appl., 1997; 33 (11), pp. 16-20.
[6]. Hilger S., Ein Maβkettenkalkül mit Anwendung auf Zentrumsmannigfaltigkeiten, Ph.D. thesis, Universität Würzburg, Würzburg, Germany, 1988.
[7]. Lakshmikantham V., Sivasundaram S., Kaymakcalan B., Dynamic systems on measure chains, Mathematics and its Applications, 370, Kluwer Academic Publishers Group, Dordrecht, 1996.
[8]. Liu W., Tuna A., Jiang Y., On weighted Ostrowski type, Trapezoid type, Grüss type and Ostrowski-Grüss like inequalities on time scales, Applicable Analysis, 2014; Volume 93, Issue 3, 551-571.
[9]. Liu W., Tuna A., Jiang Y., New weighted Ostrowski and Ostrowski-Grüss type inequalities on time scales, Annals of the Alexandru Ioan Cuza University--Mathematics, 2014; Volume LX, Issue 1, 57-76.
[10]. Nwaeze E. R., A new weiğhted Ostrowski type inequality on arbitrary time scale, Journal of King Saud University-Science, 2017; volume 29, number 1, pp. 230-234.
[11]. Ostrowski A., Uber die Absolutabweichung einer differentiierbaren Funktion von ihrem Integralmittelwert, Comment. Math. Helv., 1937; 10, 226-227.
[12]. Tuna A., Daghan D., Generalization of Ostrowski and Ostrowski-Grüss type inequalities on time scales, Comput. Math. Appl., 2010; 60, 803-811.
[13]. Tuna A., Jiang Y., Liu W.J., Weighted Ostrowski, Ostrowski-Grüss and Ostrowski-Čebyšev Type Inequalities on Time Scales, Publ. Math. Debrecen, 2012; 81, 81-10
Tuna, A. (2017). Some New Time Scales Weighted Ostrowski-Grüss Type Inequalities. Cumhuriyet Science Journal, 38(4), 626-638. https://doi.org/10.17776/csj.349330