1998Real Analysis ExchangeOpen access

ON SOME PROPERTIES OF QUASI-UNIFORM CONVERGENCE AND QUASI-CONTINUOUS FUNCTIONS

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Abstract

In this note some properties of the quasi-uniform convergence of [9] studied and related to the quasi-continuous functions of [5] in terms of the entourages [1]). Then, quasi-uniform convergence is investigated as a convergence structure in the sense of [6]. Also, quasi-uniform and quasi-normal convergences of sequences of real-valued functions from [2], [3] are compared.

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In this note some properties of the quasi-uniform convergence of [9] studied and related to the quasi-continuous functions of [5] in terms of the entourages [1]). Then, quasi-uniform convergence is investigated as a convergence structure in the sense of [6]. Also, quasi-uniform and quasi-normal convergences of sequences of real-valued functions from [2], [3] are compared.

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Available abstract

In this note some properties of the quasi-uniform convergence of [9] studied and related to the quasi-continuous functions of [5] in terms of the entourages [1]). Then, quasi-uniform convergence is investigated as a convergence structure in the sense of [6]. Also, quasi-uniform and quasi-normal convergences of sequences of real-valued functions from [2], [3] are compared.

Key concepts: Mathematics, Normal convergence, Uniform convergence, Compact convergence, Modes of convergence (annotated index), Convergence (economics), Convergence tests, Uniform limit theorem

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