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Generalizations of weighted Ostrowski type inequalities for mappings of bounded variation and their applications

✍ Scribed by Kuei-Lin Tseng; Shiow Ru Hwang; S.S. Dragomir


Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
235 KB
Volume
55
Category
Article
ISSN
0898-1221

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Some Ostrowski type inequalities are given for the Stieltjes integral where the integrand is absolutely continuous while the integrator is of bounded variation. The case when | f | is convex is explored. Applications for the mid-point rule and a generalised trapezoid type rule are also presented.

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In the present paper we introduce the conditions of solvability for Chaplygin's problem with discontinuous functions in two independent variables, satisfying integro-sum inequalities. The new type of nonlinear integral and Wendroff's inequality for discontinuous functions are investigated. As applic