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Products of Świątkowski and quasi-continuous functions

Maliszewski A., Wódka J.

Journal of Applied Analysis

2014

Vol. 20, nr 2

129--132

The aim of this paper is to characterize the products of Świątkowski and quasi-continuous functions.

Maximums of upper semicontinuous strong Świątkowski functions

Szczuka P.

Demonstratio Mathematica

2011

Vol. 44, nr 1

59-65

In this paper we characterize the family of the maximums of upper semicontinuous strong Świątkowski functions and we show that the family of all upper semicontinuous strong Świątkowski functions is not closed with respect to maximums.

Quotients of quasi-continuous functions

Jałocha J.

Journal of Applied Analysis

2000

Vol. 6, nr 2

251-258

The main goal of this paper is to characterize both the quotients of quasi-continuous and the quotients of Darboux quasi-continuous functions. We prove also theorems concerning common divisor for the families of the quotients of quasi-continuous (Darboux quasi-continuous) functions with respect to quasi-continuity (Darboux property and quasi-continuity, respectively).