Geodesic
Some new inequalities of the Ostrowski-Grüss, Čebyšev, and Trapezoid types on time scales
Nwaeze, Eze R. 1 ; Kaplan, Nurhan 2 ; Tuna, Fatma Gozde 2 ; Tuna, Adnan 2
1 Department of Mathematics, Tuskegee University, Tuskegee, AL 36088, USA
2 Art and Science Faculty, Mathematics Department, Niğde Ömer Halisdemir University, Niğde, Turkey
Journal of nonlinear sciences and its applications, Tome 12 (2019) no. 4, p. 192-205.

Voir la notice de l'article provenant de la source International Scientific Research Publications

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.
DOI : 10.22436/jnsa.012.04.01
Classification : 26D15, 54C30, 26D10
Keywords: Ostrowski's inequality, Čebyšev inequality, Ostrowski-Grüss, Trapezoid inequality, time scales

Nwaeze, Eze R.  1 ; Kaplan, Nurhan  2 ; Tuna, Fatma Gozde  2 ; Tuna, Adnan  2

1 Department of Mathematics, Tuskegee University, Tuskegee, AL 36088, USA
2 Art and Science Faculty, Mathematics Department, Niğde Ömer Halisdemir University, Niğde, Turkey 
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     title = {Some new inequalities of the {Ostrowski-Gr\"uss,} {\v{C}eby\v{s}ev,} and {Trapezoid} types on time scales},
     journal = {Journal of nonlinear sciences and its applications},
     pages = {192-205},
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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 its applications, Tome 12 (2019) no. 4, p. 192-205. doi : 10.22436/jnsa.012.04.01. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.012.04.01/

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