On multidimensional Ostrowski type inequalities
Abstract
Sharp Ostrowski type inequalities for multidimensional sets and functions of bounded variations are proved.
References
Ostrowski, Alexander. Über die Absolutabweichung einer differentiierbaren Funktion von ihrem Integralmittelwert. (German) Comment. Math. Helv. 10 (1937), no. 1, 226–227. https://doi.org/10.1007/bf01214290 DOI: https://doi.org/10.1007/BF01214290
Anastassiou, George A. Advanced inequalities. Series on Concrete and Applicable Mathematics, 11. World Scientific Publishing Co. Pte. Ltd., Hackensack, NJ, 2011. xii+410 pp. ISBN: 978-981-4317-62-7; 981-4317-62-4
Ostrowski type inequalities and applications in numerical integration. Edited by Sever S. Dragomir and Themistocles M. Rassias. Kluwer Academic Publishers, Dordrecht, 2002. xx+481 pp. ISBN: 1-4020-0562-8. https://doi.org/10.1007/978-94-017-2519-4 DOI: https://doi.org/10.1007/978-94-017-2519-4
Dragomir, Silvestru Sever. Operator inequalities of Ostrowski and trapezoidal type. SpringerBriefs in Mathematics. Springer, New York, 2012. x+112 pp. ISBN: 978-1-4614-1778-1 https://doi.org/10.1007/978-1-4614-1779-8_3 DOI: https://doi.org/10.1007/978-1-4614-1779-8_3
Kovalenko, Oleg V. Ostrowski type inequalities for sets and functions of bounded variation. J. Inequal. Appl. 2017, Paper No. 151, 16 pp. https://doi.org/10.1186/s13660-017-1429-5 DOI: https://doi.org/10.1186/s13660-017-1429-5
Kronrod, A. S. О функциях двух переменных. (Russian) [O funkcijah dvuh peremennyh] Успехи мат. наук [Uspehi mat. nauk], 5 (1950), no. 1, 24–134.
Vitushkin, A. G. О многомерных вариациях. (Russian) [O mnogomernyh variacijah] Gostehteorizdat, Moskva (1955).
Ivanov, L. D. Вариации множеств и функций. (Russian) [Variations of sets and functions] Edited by A. G. Vituškin. Izdat. ``Nauka'', Moscow, 1975. 352 pp.
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