New Ostrowski-Grüss type inequalities with the derivatives bounded by functions
Author:
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis
Link
http://link.springer.com/content/pdf/10.1186/1029-242X-2013-456.pdf
Reference21 articles.
1. Ostrowski A: Über die Absolutabweichung einer differentiierbaren Funktion von ihren Integralmittelwert. Comment. Math. Helv. 1938, 10: 226–227.
2. Grüss G: Über das Maximum des absoluten Betrages von [ 1 / ( b − a ) ] ∫ a b f ( x ) g ( x ) d x − [ 1 / ( b − a ) 2 ] ∫ a b f ( x ) d x ∫ a b g ( x ) d x . Math. Z. 1935, 39: 215–226. 10.1007/BF01201355
3. Alomari M, Darus M, Dragomir SS, Cerone P: Ostrowski type inequalities for functions whose derivatives are s -convex in the second sense. Appl. Math. Lett. 2010, 23: 1071–1076. 10.1016/j.aml.2010.04.038
4. Anastassiou GA: High order Ostrowski type inequalities. Appl. Math. Lett. 2007, 20: 616–621. 10.1016/j.aml.2006.07.005
5. Tseng KL, Hwang SR, Yang GS, Chou YM: Improvements of the Ostrowski integral inequality for mappings of bounded variation I. Appl. Math. Comput. 2010, 217: 2348–2355. 10.1016/j.amc.2010.07.034
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1. A Parameter-Based Ostrowski–Grüss Type Inequalities with Multiple Points for Derivatives Bounded by Functions on Time Scales;Mathematics;2018-12-14
2. New time scale generalizations of the Ostrowski-Grüss type inequality for k points;Journal of Inequalities and Applications;2017-10-03
3. On Weighted Montgomery Identity for k Points and Its Associates on Time Scales;Abstract and Applied Analysis;2017
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