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Pseudo-Lp space and convergence
DOI:10.1016/j.fss.2013.06.010.png)
摘要
En 中文
In the framework of the pseudo-analysis the classical LP space is generalized and there are proved important properties of introduced space. Three types of convergence of sequences of measurable functions are considered in this space. The inequalities for integrals based on pseudo-integral have been recently proposed as the Holder, Minkowski and Markov inequalities, which are applied in observing relationship among introduced convergences. (C) 2013 Elsevier B.V. All rights reserved.
Keyword:
Pseudo-addition
Pseudo-multiplication
Semiring
Nonadditive measures
Pseudo-integral
Integral inequalities: Convergence
期刊
IF:
2.7
论文数:
7.6K
被引数:
1.5W

