More on decomposition of generalized continuity
نویسندگان
چکیده
منابع مشابه
More on the Continuity of Real Functions1
The terminology and notation used here have been introduced in the following articles: [3], [7], [17], [2], [4], [12], [13], [14], [16], [1], [5], [9], [15], [18], [10], [8], [20], [21], [19], [11], [22], and [6]. For simplicity, we use the following convention: n, i denote elements of N, X, X1 denote sets, r, p, s, x0, x1, x2 denote real numbers, f , f1, f2 denote partial functions from R to R...
متن کاملMore on the Continuity of Real Functions
The terminology and notation used here have been introduced in the following articles: [3], [7], [17], [2], [4], [12], [13], [14], [16], [1], [5], [9], [15], [18], [10], [8], [20], [21], [19], [11], [22], and [6]. For simplicity, we use the following convention: n, i denote elements of N, X, X1 denote sets, r, p, s, x0, x1, x2 denote real numbers, f , f1, f2 denote partial functions from R to R...
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In normed linear space settings, modifying the sequential definition of continuity of an operator by replacing the usual limit "lim" with arbitrary linear regular summability methods G we consider the notion of a generalized continuity ((G1,G2)-continuity) and examine some of its consequences in respect of usual continuity and linearity of the operators between two normed linear spaces.
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ژورنال
عنوان ژورنال: Acta Universitatis Sapientiae, Mathematica
سال: 2020
ISSN: 2066-7752
DOI: 10.2478/ausm-2020-0014