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Alshanti, Waseem Ghazi

Inequality of Ostrowski type for mappings with bounded fourth order partial derivatives. (English) Zbl 1474.26076

Abstr. Appl. Anal. 2019, Article ID 5648095, 6 p. (2019).
Summary: A general Ostrowski’s type inequality for double integrals is given. We utilize function whose partial derivative of order four exists and is bounded.

Cited in 2 Documents

MSC:

26D15 Inequalities for sums, series and integrals
26D07 Inequalities involving other types of functions
26B15 Integration of real functions of several variables: length, area, volume
41A55 Approximate quadratures
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\textit{W. G. Alshanti}, Abstr. Appl. Anal. 2019, Article ID 5648095, 6 p. (2019; Zbl 1474.26076)
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References:

[1] Ostrowski, A., Über die Absolutabweichung einer differentiebaren Funktion von ihrem Integralmittelwert, Commentarii Mathematici Helvetici, 10, 1, 226-227 (1937) · Zbl 0018.25105
[2] Milovanovic, G. V., On Some Integral Inequalities (pp, 119-124, 1975), Univ. Beograd. Publ. Elektrotehn. Fak. Ser. Math. Fiz., (498/541)
[3] Barnett, N. S.; Dragomir, S. S., An Ostrowski type inequality for double integrals and applications for cubature formulae, Soochow Journal of Mathematics, 27, 1, 1-10 (2001) · Zbl 0987.26015
[4] Xue, Q.; Zhu, J.; Liu, W., A new generalization of Ostrowski-type inequality involving functions of two independent variables, Computers & Mathematics with Applications, 60, 8, 2219-2224 (2010) · Zbl 1205.26037
[5] Sarikaya, M. Z.; Yaldiz, H.; Erden, S., On the weighted Ostrowski type inequalities for double integrals, Kragujevac Journal of Mathematics, 38, 2, 303-314 (2014) · Zbl 1474.26137
[6] Alshanti, W. G.; Qayyum, A., A note on new Ostrowski type inequalities using a generalized kernel, Bulletin of Mathematical Analysis and Applications, 9, 1, 74-91 (2017) · Zbl 1408.26022
[7] Alshanti, W. G.; Qayyum, A.; Majid, M. A., Ostrowski type inequalities by using generalized quadratic kernel, Journal of Inequalities and Special Functions, 8, 4, 111-135 (2017)
[8] Alshanti, W. G., A Perturbed Version of General Weighted Ostrowski Type Inequality and Applications, International Journal of Analysis and Applications, 16, 4, 503-517 (2018) · Zbl 1413.26037
[9] Erden, S.; Budak, H.; Sarikaya, M. Z., An Ostrowski type inequality for twice differentiable mappings and applications, Mathematical Modelling and Analysis, 21, 4, 522-532 (2016) · Zbl 1488.26061
[10] Dragomir, S. S.; Cerone, P.; Barnett, N. S.; Roumeliotis, J., An inequality of the Ostrowski type for double integrals and applications for cubature formulae, RGMIA Research Report Collection, 2, 6, 1-13 (1999) · Zbl 0954.26009
[11] Pachpatte, B. G., On an inequality of Ostrowski type in three independent variables, Journal of Mathematical Analysis and Applications, 249, 2, 583-591 (2000) · Zbl 0969.26018
[12] Pachpatte, B. G., On multivariate Ostrowski type inequalities, Journal of Inequalities in Pure and Applied Mathematics, 3, 4, 1-12 (2002) · Zbl 1024.26016
[13] Sarikaya, M. Z., On the Ostrowski type integral inequality for double integrals, Demonstratio Mathematica, 45, 3, 533-540 (2012) · Zbl 1275.26027
[14] Sarikaya, M. Z.; Ogunmez, H., On the weighted Ostrowski-type integral inequality for double integrals, Arabian Journal for Science and Engineering, 36, 6, 1153-1160 (2011)
[15] Farid, G., New Ostrowski-type inequalities and their applications in two coordinates, Acta Mathematica Universitatis Comenianae, 85, 1, 107-112 (2016) · Zbl 1349.26026
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