Multidimensional Exponential Inequalities with Weights
Keyword(s):
AbstractWe establish sufficient conditions on the weight functions u and v for the validity of the multidimensional weighted inequalitywhere 0 < p, q < ∞, Φ is a logarithmically convex function, and Tk is an integral operator over star-shaped regions. The condition is also necessary for the exponential integral inequality. Moreover, the estimation of C is given and we apply the obtained results to generalize some multidimensional Levin–Cochran-Lee type inequalities.
1993 ◽
Vol 45
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pp. 449-469
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1989 ◽
Vol 113
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pp. 159-180
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1983 ◽
Vol 35
(3)
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pp. 436-453
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2005 ◽
Vol 135
(6)
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pp. 1287-1308
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1993 ◽
Vol 123
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pp. 1109-1118