Research Article

New upper bounds of Ostrowski type integral inequalities utilizing Taylor expansion

Volume: 47 Number: 3 June 1, 2018
EN

New upper bounds of Ostrowski type integral inequalities utilizing Taylor expansion

Abstract

In this paper, we have been introduced and tested some significant new bounds of Ostrowski type integral inequalities. In accordance with this purpose we have taken advantageous of the Taylor expansion for functions. Some numerical experiments have been given to show the applicability and accuracy of the proposed method.

Keywords

References

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  4. S. S. Dragomir, S. Wang, An inequality of Ostrowski-Grüss type and its applications to the estimation of error bounds for some special means and for some numerical quadrature rules, Comput. Math. Appl., 33 (1997), 1520.
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  6. V. N. Huy and Q. A. Ngo, New bounds for the Ostrowski-like type inequalities, Bull. Korean Math. Soc. 48 (2011) 95-104.
  7. A. R. Kashif, , M. Shoaib, M. A. Latif, Improved version of perturbed Ostrowski type inequalities for n-times dierentiable mappings with three-step kernel and its application, J. Nonlinear Sci. Appl. 9 (2016), 33193332.
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Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

June 1, 2018

Submission Date

February 14, 2017

Acceptance Date

April 18, 2017

Published in Issue

Year 2018 Volume: 47 Number: 3

APA
Budak, H., Usta, F., & Sarikaya, M. Z. (2018). New upper bounds of Ostrowski type integral inequalities utilizing Taylor expansion. Hacettepe Journal of Mathematics and Statistics, 47(3), 567-578. https://izlik.org/JA27SS94LL
AMA
1.Budak H, Usta F, Sarikaya MZ. New upper bounds of Ostrowski type integral inequalities utilizing Taylor expansion. Hacettepe Journal of Mathematics and Statistics. 2018;47(3):567-578. https://izlik.org/JA27SS94LL
Chicago
Budak, Hüseyin, Fuat Usta, and Mehmet Zeki Sarikaya. 2018. “New Upper Bounds of Ostrowski Type Integral Inequalities Utilizing Taylor Expansion”. Hacettepe Journal of Mathematics and Statistics 47 (3): 567-78. https://izlik.org/JA27SS94LL.
EndNote
Budak H, Usta F, Sarikaya MZ (June 1, 2018) New upper bounds of Ostrowski type integral inequalities utilizing Taylor expansion. Hacettepe Journal of Mathematics and Statistics 47 3 567–578.
IEEE
[1]H. Budak, F. Usta, and M. Z. Sarikaya, “New upper bounds of Ostrowski type integral inequalities utilizing Taylor expansion”, Hacettepe Journal of Mathematics and Statistics, vol. 47, no. 3, pp. 567–578, June 2018, [Online]. Available: https://izlik.org/JA27SS94LL
ISNAD
Budak, Hüseyin - Usta, Fuat - Sarikaya, Mehmet Zeki. “New Upper Bounds of Ostrowski Type Integral Inequalities Utilizing Taylor Expansion”. Hacettepe Journal of Mathematics and Statistics 47/3 (June 1, 2018): 567-578. https://izlik.org/JA27SS94LL.
JAMA
1.Budak H, Usta F, Sarikaya MZ. New upper bounds of Ostrowski type integral inequalities utilizing Taylor expansion. Hacettepe Journal of Mathematics and Statistics. 2018;47:567–578.
MLA
Budak, Hüseyin, et al. “New Upper Bounds of Ostrowski Type Integral Inequalities Utilizing Taylor Expansion”. Hacettepe Journal of Mathematics and Statistics, vol. 47, no. 3, June 2018, pp. 567-78, https://izlik.org/JA27SS94LL.
Vancouver
1.Hüseyin Budak, Fuat Usta, Mehmet Zeki Sarikaya. New upper bounds of Ostrowski type integral inequalities utilizing Taylor expansion. Hacettepe Journal of Mathematics and Statistics [Internet]. 2018 Jun. 1;47(3):567-78. Available from: https://izlik.org/JA27SS94LL