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Weak and strong forms of \(\omega \)-continuous functions. (English) Zbl 1186.26002

Summary: We introduce weak and strong forms of \(\omega \)-continuous functions, namely, \(\theta -\omega \)-continuous and strongly \(\theta -\omega \)-continuous functions, and investigate their fundamental properties.

MSC:

26A15 Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable
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References:

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