On the Generalized Ostrowski Type Integral Inequality for Double Integrals
Main Article Content
Abstract
In this paper, we establish a new generalized Ostrowski type inequality for double integrals involving functions of two independent variables by using fairly elementary analysis.
Article Details
References
- F. Ahmad, N. S. Barnett and S. S. Dragomir, New Weighted Ostrowski and Cebysev Type Inequalities, Nonlinear Analysis: Theory, Methods & Appl., 71 (12) (2009), 1408-1412.
- F. Ahmad, A. Rafiq, N. A. Mir, Weighted Ostrowski type inequality for twice differentiable mappings, Global Journal of Research in Pure and Applied Math., 2 (2) (2006), 147-154.
- N. S. Barnett and S. S. Dragomir, An Ostrowski type inequality for double integrals and applications for cubature formulae, Soochow J. Math., 27(1) (2001), 109-114.
- S. S. Dragomir, N. S. Barnett and P. Cerone, An n-dimensional version of Ostrowski's inequality for mappings of Hölder type, RGMIA Res. Pep. Coll., 2(2) (1999), 169-180.
- A. M. Ostrowski, ¨ Uber die absolutabweichung einer differentiebaren funktion von ihrem integralmitelwert, Comment. Math. Helv. 10 (1938), 226-227.
- B. G. Pachpatte, On an inequality of Ostrowski type in three independent variables, J. Math.Anal. Appl., 249 (2000), 583-591.
- B. G. Pachpatte, On a new Ostrowski type inequality in two independent variables, Tamkang J. Math., 32 (1) (2001), 45-49
- B. G. Pachpatte, A new Ostrowski type inequality for double integrals, Soochow J. Math., 32 (2) (2006), 317-322.
- A. Rafiq and F. Ahmad, Another weighted Ostrowski-Grüss type inequality for twice differentiable mappings, Kragu- jevac Journal of Mathematics, 31 (2008), 43-51.
- M. Z. Sarikaya, On the Ostrowski type integral inequality, Acta Math. Univ. Comenianae, 79 (1) (2010), 129-134.
- M. Z. Sarikaya and H. Ogunmez, On the weighted Ostrowski type integral inequality for double integrals, The Arabian Journal for Science and Engineering (AJSE)-Mathematics, 36 (2011), 1153-1160.
- M. Z. Sarikaya and H. Yildirim, New inequalities for local fractional integrals, Iranian Journal of Science and Technology (Sciences), in press.
- N. Ujevi ´ c, Some double integral inequalities and applications, Appl. Math. E-Notes, 7 (2007), 93-101.