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Chebyshev's inequalities for functions monotone in the mean

โœ Scribed by D. E. Daykin


Publisher
Springer Netherlands
Year
1983
Tongue
English
Weight
219 KB
Volume
14
Category
Article
ISSN
0031-5303

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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