Ostrowski type inequalities for convex functions

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Published: Dec 30, 2014
DOI: https://doi.org/10.5556/j.tkjm.45.2014.1143

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Muhamet Emin Özdemir
Havva Kavurmacı
Merve Avcı

Abstract

In this paper, we obtain Ostrowski type inequalities for convex functions.

Article Details

How to Cite
Özdemir, M. E., Kavurmacı, H., & Avcı, M. (2014). Ostrowski type inequalities for convex functions. Tamkang Journal of Mathematics, 45(4), 335–340. https://doi.org/10.5556/j.tkjm.45.2014.1143
Issue
Vol. 45 No. 4 (2014)
Section
Papers
Author Biographies

Muhamet Emin Özdemir

Department OfMathematics, K.K. Education Faculty, AtatürkUniversity, 25240, Campus, Erzurum, Turkey.

Havva Kavurmacı

Department ofMathematics, Education Faculty, Önalan Yüzüncü Yıl University, 65080, Van, Turkey.

Merve Avcı

Department OfMathematics, Faculty Of Science And Art, Adıyaman University, 02040, Adıyaman, Turkey.

References

A. Ostrowski, Uber die Absolutabweichung einer differentienbaren Funktionen von ihren Integralmittelwert. Comment. Math. Hel, 10 (1938), 226--227.

S. S. Dragomir and A. Sofo, Ostrowski type inequalities for functions whose derivatives are convex, RGMIA Res. Rep. Coll., 5(2002) Supplement, Article 30. Online:http://rgmia.vu.edu.au/v5(E).html

S.S. Dragomir, Some companions of Ostrowski's inequality for absolutely continuous functions and applications}, Bull. Korean Math. Soc., 42(2) (2005), 213--230.

S. S. Dragomir and T. M. Rassias, Ostrowski type inequalities and applications in numerical integration, Boston: Kluwer Academic, 404 pp, Melbourne-Athens, (2002).

S. S. Dragomir, The Ostrowski's integral inequality for Lipschitzian mappings and applications, Computers and Mathematics with Applications, 38(1997), 33--37.

S. S. Dragomir and S. Wang, Applications of Ostrowski's inequality to the estimation of error bounds for some special means and for some numerical quadrature rules, Appl. Math. Lett., 11 (1998), 105--109.

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, Computers Math. Applic., 33(11) (1997), 15--20.

N. S. Barnett and S. S. Dragomir, Applications of Ostrowski's version of the Gruss inequality for trapezoid type rules, Tamkang Journal of Mathematics, 37(2)(2006), 163--173.

N. S. Barnett and S. S. Dragomir, An Ostrowski type inequality for double integrals and applications for cubature formulae, Soochow Journal of Mathematics, 27(1) (2001), 1--10.

M. W. Alomari, M. E. Ozdemir and H. Kavurmaci, On Companion of Ostrowski Inequality for Mappings Whose First Derivatives Absolute Value Are Convex With Applications, Miskolc Mathematical Notes, 13 (2012), 233--248.

M. E. Ozdemir, H. Kavurmaci and E. Set, Ostrowski's Type Inequalities for $ ( alpha ,m) $-Convex Functions, Kyungpook Math. J., 50(2010), 371--378.

M. Alomari, M. Darus, S. S. Dragomir and P. Cerone, Ostrowski type inequalities for functions whose derivatives are convex in the second sense, Applied Mathematics Letters, 23(2010), 1071--1076.

M. Emin Ozdemir, Ahmet Ocak Akdemir and Erhan Set, On the Ostrowski-Gruss type inequality for twice differentiable functions}, Hacettepe Journal of Mathematics and Statistics, 41 (5)(2012), 651--655.

M. Emin Ozdemir, Ahmet Ocak Akdemir and Erhan Set, A new Ostrowski-type inequality for double integrals, Journal of Inequalities and Special Functions, ISSN: 2217-4303, URL: http://www.ilirias.com, 2(2011), 27--34.

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