TY - JOUR AU - Nwaeze, Eze R. AU - Kaplan, Nurhan AU - Tuna, Fatma Gozde AU - Tuna, Adnan PY - 2019 TI - Some new inequalities of the Ostrowski-Grüss, Čebyšev, and Trapezoid types on time scales JO - Journal of Nonlinear Sciences and Applications SP - 192--205 VL - 12 IS - 4 AB - In this paper, we establish some novel Ostrowski-Grüss, Čebyšev, and Trapezoid type inequalities involving functions whose second derivatives are bounded on time scales. We also give some other interesting inequalities as special cases of our results. SN - ISSN 2008-1901 UR - http://dx.doi.org/10.22436/jnsa.012.04.01 DO - 10.22436/jnsa.012.04.01 ID - Nwaeze2019 ER - TY - JOUR TI - Inequalities on time scales: a survey AU - R. Agarwal AU - M. Bohner AU - A. Peterson JO - Math. Inequal. Appl. PY - 2001 DA - 2001// VL - 4 ID - Agarwal2001 ER - TY - JOUR TI - Time scales Ostrowski and Grüss type inequalities involving three functions AU - E. Akin-Bohner AU - M. Bohner AU - T. Matthews JO - Nonlinear Dyn. Syst. Theory PY - 2012 DA - 2012// VL - 12 ID - Akin-Bohner2012 ER - TY - JOUR TI - Ostrowski inequalities on time scales AU - M. Bohner AU - T. Matthews JO - JIPAM. J. Inequal. Pure Appl. Math. PY - 2008 DA - 2008// VL - 9 ID - Bohner2008 ER - TY - JOUR TI - Trapezoid-Type Inequalities on Time Scales AU - M. Bohner AU - E. R. Nwaeze AU - A. Tuna JO - PY - Submitted DA - Submitted// VL - ID - BohnerSubmitted ER - TY - BOOK TI - Advances in dynamic equations on time scales AU - M. Bohner AU - A. Peterson PB - Birkhäuser Boston PY - 2003 DA - 2003// CY - Boston ID - Bohner2003 ER - TY - BOOK TI - Dynamic Equations on Time Scales: An Introduction with Applications AU - M. Bohner AU - A. Peterson PB - Birkhäuser Boston PY - 2001 DA - 2001// CY - Boston ID - Bohner2001 ER - TY - JOUR TI - Sue les expressions approxmatives des intégrales définies par les autres prises entre les mêmes limites AU - P. L. Čebyšev JO - Proc. Math. Soc. Charkov PY - 1882 DA - 1882// VL - 2 ID - Čebyšev 1882 ER - TY - JOUR TI - Generalized Weighted Ostrowski, Trapezoid and Grüss Type Inequalities on Time Scales AU - A. A. El-Deeb AU - H. A. Elsennary AU - E. R. Nwaeze JO - Fasc. Math. PY - 2018 DA - 2018// VL - 60 ID - El-Deeb2018 ER - TY - BOOK TI - Ein Maßkettenkalkül mit Anwendung auf Zentrumsmannigfaltigkeiten AU - S. Hilger PB - Ph.D. Thesis, Universität Würzburg, Würzburg PY - 1988 DA - 1988// CY - Germany ID - Hilger1988 ER - TY - BOOK TI - Dynamic systems on measure chains AU - V. Lakshmikantham AU - S. Sivasundaram AU - B. Kaymakcalan PB - Kluwer Academic Publishers Group PY - 1996 DA - 1996// CY - Dordrecht ID - Lakshmikantham1996 ER - TY - JOUR TI - A new generalization of Ostrowski type inequality on time scales AU - W. J. Liu AU - Q.-A. Ngô AU - W. B. Chen JO - An. St. Univ. Ovidius Constanta PY - 2009 DA - 2009// VL - 17 ID - Liu2009 ER - TY - JOUR TI - Diamond weighted Ostrowski type and Grüss type inequalities on time scales AU - W. J. Liu AU - A. Tuna JO - Appl. Math. Comput. PY - 2015 DA - 2015// VL - 270 ID - Liu2015 ER - TY - JOUR TI - Weighted Ostrowski, Trapezoid and Grüss type inequalities on time scales AU - W. J. Liu AU - A. Tuna JO - J. Math. Inequal. PY - 2012 DA - 2012// VL - 6 ID - Liu2012 ER - TY - JOUR TI - New weighted Ostrowski and Ostrowski-Grüss type inequalities on time scales AU - W. J. Liu AU - A. Tuna AU - Y. Jiang JO - An. Stiint. Univ. Al. I. Cuza Iasi. Mat. (N.S.) PY - 2014 DA - 2014// VL - 60 ID - Liu2014 ER - TY - JOUR TI - On weighted Ostrowski type, Trapezoid type, Grüss type and Ostrowski-Grüss like inequalities on time scales AU - W. J. Liu AU - A. Tuna AU - Y. Jiang JO - Appl. Anal. PY - 2014 DA - 2014// VL - 93 ID - Liu2014 ER - TY - JOUR TI - Generalized weighted trapezoid and Grüss type inequalities on time scales AU - E. R. Nwaeze JO - Aust. J. Math. Anal. Appl. PY - 2017 DA - 2017// VL - 14 ID - Nwaeze 2017 ER - TY - JOUR TI - Uber die Absolutabweichung einer differentiierbaren Funktion von ihrem Integralmittelwert AU - A. Ostrowski JO - Comment. Math. Helv. PY - 1937 DA - 1937// VL - 10 ID - Ostrowski 1937 ER - TY - JOUR TI - On trapezoid and Grüss-like integral inequalities AU - B. G. Pachpatte JO - Tamkang J. Math. PY - 2003 DA - 2003// VL - 34 ID - Pachpatte 2003 ER - TY - JOUR TI - Weighted Ostrowski, Ostrowski-Grüss and Ostrowski-Čebyšev Type Inequalities on Time Scales AU - A. Tuna AU - Y. Jiang AU - W. J. Liu JO - Publ. Math. Debrecen PY - 2012 DA - 2012// VL - 81 ID - Tuna2012 ER - TY - JOUR TI - New weighted Čebyšev-Ostrowski type integral inequalities on time scales AU - A. Tuna AU - W. Liu JO - J. Math. Inequal. PY - 2016 DA - 2016// VL - 10 ID - Tuna2016 ER - TY - JOUR TI - A New Ostrowski type inequality on time scales AU - G. P. Xu AU - Z. B. Fang JO - J. Math. Inequal. PY - 2016 DA - 2016// VL - 10 ID - Xu2016 ER -