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- W3197758280 abstract "For any two metric spaces (X,d), (Y,ρ) and a bornology B on X, we study the relationship between strong uniform convergence (introduced by Beer and Levi in [8]) and strong Whitney convergence (introduced by A. Caserta in [15]) on B on YX (and C(X,Y)). The relationships of these convergences with their classical counterparts, that is, Whitney and uniform convergences on B are also considered. Moreover, for any two bornologies B and B′ on X, we examine the relationship between strong Whitney (strong uniform) convergence on B′ and Whitney (uniform) convergence on B. Finally, we investigate the relation of strong Whitney convergence with the well-known continuous convergence of nets of functions." @default.
- W3197758280 created "2021-09-13" @default.
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- W3197758280 date "2022-01-01" @default.
- W3197758280 modified "2023-10-14" @default.
- W3197758280 title "Strong Whitney and strong uniform convergences on a bornology" @default.
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- W3197758280 doi "https://doi.org/10.1016/j.jmaa.2021.125634" @default.
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