Generalizations of weighted Ostrowski type inequalities for mappings of bounded variation and their applications
β 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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π SIMILAR VOLUMES
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.
Based on the celebrated Hermite-Hadamard integral inequality for convex functions, some inequalities for differentiable convex and concave mappings are generalized. Furthermore, the results obtained are examined in the context of special means for real numbers.
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
A generalization of the Ostrowski integral inequality for mappings whose derivaw x tives belong to L a, b , 1p -Ο±, and applications for general quadrature p formulae are given.