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Some sharp inequalities forn-monotone functions

✍ Scribed by Petar P. Petrov


Book ID
106343288
Publisher
Akadmiai Kiad
Year
2005
Tongue
English
Weight
200 KB
Volume
108
Category
Article
ISSN
1588-2632

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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.

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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