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Differences between means with bounds from a Riemann-Stieltjes integral

โœ Scribed by P. Cerone; S.S. Dragomir

Book ID
104352580
Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
447 KB
Volume
46
Category
Article
ISSN
0898-1221

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โœฆ Synopsis

An identity for the difference between two integral means is obtained in terms of a Riemann-Stieltjes integral. This enables bounds to be procured when the integrand is of bounded variation, Lipschitzian and monotonic. If f is absolutely continuous, bounds are also obtained for f' E L,[o,b], 1 4 p < 00, the usual Lebesgue norms. This supplements earlier results involving f' E &,[a, b].

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