Monotonicity and Inequalities for the Generalized Distortion Function
β Scribed by MA, Xiaoyan; CHU, Yuming; WANG, Fei
- Book ID
- 122257057
- Publisher
- Elsevier Science
- Year
- 2013
- Tongue
- English
- Weight
- 256 KB
- Volume
- 33
- Category
- Article
- ISSN
- 0252-9602
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π SIMILAR VOLUMES
A b s t r a c t --I n this paper, we establish a generalisation of the Ostrowski inequality for monotonic functions that also includes various recent results and apply it for quadrature formulae in numerical integration.
Some integral inequalities for generalized monotone functions of one variable and an integral inequality for monotone functions of several variables are proved. Some applications are presented and discussed.
Weighted norm inequalities are investigated by giving an extension of the Riesz convexity theorem to semi-linear operators on monotone functions. Several properties of the classes B@, n) and C(p, n) introduced by NEUGEBAUER in [I31 are given. In particular, we characterize the weight pairs w, v for