Δ-quasi-slowly Oscillating Sequences in Locally Normal Riesz Spaces
نویسنده
چکیده
In this paper, we introduce the notion of δ-quasi-slowly oscillating sequences, study on δ-quasi-slowly oscillating compactness and δ-quasi-slowly oscillating continuous functions in locally normal Riesz space.
منابع مشابه
New Types of Continuities
and Applied Analysis 3 Proof. The proof follows from Theorem 2.1. The following theorem shows that on a slowly oscillating compact subset A of R, slowly oscillating continuity implies uniform continuity. Theorem 2.3. Let A be a slowly oscillating compact subset of R and let f : A → R be slowly oscillating continuous on A. Then f is uniformly continuous on A. Proof. Assume that f is not uniforml...
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