Applications of Denjoy analogue, I* (Sufficient conditions for a function to be monotone)
K. M. Garg (1964)
Annales Polonici Mathematici
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Displaying similar documents to “The Choquet integral as Lebesgue integral and related inequalities”
Applications of Denjoy analogue, I* (Sufficient conditions for a function to be monotone)
Transferring monotonicity in weighted norm inequalities.
Gord Sinnamon (2003)
Collectanea Mathematica
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Certain weighted norm inequalities for integral operators with non-negative, monotone kernels are shown to remain valid when the weight is replaced by a monotone majorant or minorant of the original weight. A similar result holds for operators with quasi-concave kernels. To prove these results a careful investigation of the functional properties of the monotone envelopes of a non-negative function is carried-out. Applications are made to function space embeddings of the cones of monotone...
On extension of group valued measures
Ján Šipoš (1990)
Mathematica Slovaca
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On the generalized continuity of the semivariation in locally convex spaces
Ján Haluška (1991)
Acta Universitatis Carolinae. Mathematica et Physica
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Extension of measure-like set functions
Ján Šipoš (1983)
Časopis pro pěstování matematiky
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A further investigation for Egoroff's theorem with respect to monotone set functions
Jun Li (2003)
Kybernetika
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In this paper, we investigate Egoroff’s theorem with respect to monotone set function, and show that a necessary and sufficient condition that Egoroff’s theorem remain valid for monotone set function is that the monotone set function fulfill condition (E). Therefore Egoroff’s theorem for non-additive measure is formulated in full generality.