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New generalizations of modular spaces. (English) Zbl 1488.46017

Summary: In the present paper, we introduce the concept of \(\mathcal{F}\)-modular, which is a generalization of the modular notion. Moreover, we introduce a \(K_p\)-modular and \(K\)-modular, and then compare these concepts together. Finally, we give a characterization of \(\mathcal{F}\)-modulars.

MSC:

46A80 Modular spaces
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