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.
G. A. Anastassiou and S. S. Dragomir, On some estimates of the remainder in Taylor's
formula, J. Math. Anal. Appl. 263 (2001), no. 1, 246263.
P. Cerone, S. S. Dragomir, J. Roumeliotis, An inequality of Ostrowski type for mappings
whose second derivatives are bounded and applications, RGMIA Res. Rep. Coll., 1 (1998).
X.-L. Cheng. Improvement of some Ostrowski-Grüss type inequalities, Computers & Mathematics
with Applications, 42, 109114, 2001.
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.
S. S. Dragomir and S. Wang, An inequality of Ostrowski-Gruss 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), no. 11, 1520.
V. N. Huy and Q. A. Ngo, New bounds for the Ostrowski-like type inequalities, Bull. Korean
Math. Soc. 48 (2011) 95-104.
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.
M. E. Kiris and M. Z. Sarikaya, On Ostrowski type inequalities and Ceby²ev type inequalities,
Filomat, 29:8 (2015), 16951713.
Z. Liu, Some OstrowskiGrüss type inequalities and applications, Comput. Math. Appl. 53
(2007) 7379.
Z. Liu, Some Ostrowski type inequalities, Math. Comput. Modelling 48 (2008) 949960.
W. Liu, New bounds for the companion of Ostrowski's inequality and applications, Filomat,
28 (2014), 167178.
A. M. Ostrowski, Über die absolutabweichung einer dierentiebaren funktion von ihrem
integralmitelwert, Comment. Math. Helv. 10(1938), 226-227.
M. Z. Sarikaya and H. Yaldiz, New generalization fractional inequalities of Ostrowski-Grüss
type, Lobachevskii Journal of Math., 2013, Vol. 34, No. 4, pp. 326-331.
A. Qayyum, S. Hussain, A new generalized Ostrowski Gruss type inequality and applications,
Appl. Math. Lett., 25 (2012),1875-1880.
N. Ujevi¢, New bounds for the rst inequality of Ostrowski-Grüss type and applications,
Comput. Math. Appl., 46 (2003), 421427.
Year 2018,
Volume: 47 Issue: 3, 567 - 578, 01.06.2018
G. A. Anastassiou and S. S. Dragomir, On some estimates of the remainder in Taylor's
formula, J. Math. Anal. Appl. 263 (2001), no. 1, 246263.
P. Cerone, S. S. Dragomir, J. Roumeliotis, An inequality of Ostrowski type for mappings
whose second derivatives are bounded and applications, RGMIA Res. Rep. Coll., 1 (1998).
X.-L. Cheng. Improvement of some Ostrowski-Grüss type inequalities, Computers & Mathematics
with Applications, 42, 109114, 2001.
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.
S. S. Dragomir and S. Wang, An inequality of Ostrowski-Gruss 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), no. 11, 1520.
V. N. Huy and Q. A. Ngo, New bounds for the Ostrowski-like type inequalities, Bull. Korean
Math. Soc. 48 (2011) 95-104.
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.
M. E. Kiris and M. Z. Sarikaya, On Ostrowski type inequalities and Ceby²ev type inequalities,
Filomat, 29:8 (2015), 16951713.
Z. Liu, Some OstrowskiGrüss type inequalities and applications, Comput. Math. Appl. 53
(2007) 7379.
Z. Liu, Some Ostrowski type inequalities, Math. Comput. Modelling 48 (2008) 949960.
W. Liu, New bounds for the companion of Ostrowski's inequality and applications, Filomat,
28 (2014), 167178.
A. M. Ostrowski, Über die absolutabweichung einer dierentiebaren funktion von ihrem
integralmitelwert, Comment. Math. Helv. 10(1938), 226-227.
M. Z. Sarikaya and H. Yaldiz, New generalization fractional inequalities of Ostrowski-Grüss
type, Lobachevskii Journal of Math., 2013, Vol. 34, No. 4, pp. 326-331.
A. Qayyum, S. Hussain, A new generalized Ostrowski Gruss type inequality and applications,
Appl. Math. Lett., 25 (2012),1875-1880.
N. Ujevi¢, New bounds for the rst inequality of Ostrowski-Grüss type and applications,
Comput. Math. Appl., 46 (2003), 421427.
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.
AMA
Budak H, Usta F, Sarikaya MZ. New upper bounds of Ostrowski type integral inequalities utilizing Taylor expansion. Hacettepe Journal of Mathematics and Statistics. June 2018;47(3):567-578.
Chicago
Budak, Hüseyin, Fuat Usta, and Mehmet Zeki Sarikaya. “New Upper Bounds of Ostrowski Type Integral Inequalities Utilizing Taylor Expansion”. Hacettepe Journal of Mathematics and Statistics 47, no. 3 (June 2018): 567-78.
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
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, 2018.
ISNAD
Budak, Hüseyin et al. “New Upper Bounds of Ostrowski Type Integral Inequalities Utilizing Taylor Expansion”. Hacettepe Journal of Mathematics and Statistics 47/3 (June 2018), 567-578.
JAMA
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, 2018, pp. 567-78.
Vancouver
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):567-78.