Some new inequalities of the Ostrowski-Grüss, Čebyšev, and Trapezoid types on time scales

Volume 12, Issue 4, pp 192--205 http://dx.doi.org/10.22436/jnsa.012.04.01
Publication Date: December 05, 2018 Submission Date: October 24, 2018 Revision Date: November 12, 2018 Accteptance Date: November 15, 2018

Authors

Eze R. Nwaeze - Department of Mathematics, Tuskegee University, Tuskegee, AL 36088, USA. Nurhan Kaplan - Art and Science Faculty, Mathematics Department, Niğde Ömer Halisdemir University, Niğde, Turkey. Fatma Gozde Tuna - Art and Science Faculty, Mathematics Department, Niğde Ömer Halisdemir University, Niğde, Turkey. Adnan Tuna - Art and Science Faculty, Mathematics Department, Niğde Ömer Halisdemir University, Niğde, Turkey.


Abstract

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.


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ISRP Style

Eze R. Nwaeze, Nurhan Kaplan, Fatma Gozde Tuna, Adnan Tuna, Some new inequalities of the Ostrowski-Grüss, Čebyšev, and Trapezoid types on time scales, Journal of Nonlinear Sciences and Applications, 12 (2019), no. 4, 192--205

AMA Style

Nwaeze Eze R., Kaplan Nurhan, Tuna Fatma Gozde, Tuna Adnan, Some new inequalities of the Ostrowski-Grüss, Čebyšev, and Trapezoid types on time scales. J. Nonlinear Sci. Appl. (2019); 12(4):192--205

Chicago/Turabian Style

Nwaeze, Eze R., Kaplan, Nurhan, Tuna, Fatma Gozde, Tuna, Adnan. "Some new inequalities of the Ostrowski-Grüss, Čebyšev, and Trapezoid types on time scales." Journal of Nonlinear Sciences and Applications, 12, no. 4 (2019): 192--205


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