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A Generalization of Ostrowski Integral Inequality for Mappings Whose Derivatives Belong to L_1 [a,b] and Applications in Numerical Integration

✍ Scribed by S. S. Dragomir


Book ID
110308833
Publisher
Springer
Year
2001
Tongue
English
Weight
138 KB
Volume
3
Category
Article
ISSN
1572-9206

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A new generalization of Ostrowski's integral inequality is established. A consequence of the generalization is that we can derive new estimates for the remainder term of the midpoint, trapezoid, and Simpson formulae. These estimates are improvements of some recently obtained estimates. Applications

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Estimates of the difference of two integral means on [a, b], [c, d] with [c, d] C [a, b] in terms of the sup norm of the derivative and applications for pdfs, special means, Jeffreys' divergence, and continuous streams are given. (~) 2002 Elsevier Science Ltd. All rights reserved.