Real Analysis Exchange

Products of Extra Strong Świątkowski Functions

Paulina Szczuka

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In this paper we characterize products of four or more extra strong Świątkowski functions.

Article information

Real Anal. Exchange, Volume 38, Number 1 (2012), 1-16.

First available in Project Euclid: 29 April 2013

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 26A21: Classification of real functions; Baire classification of sets and functions [See also 03E15, 28A05, 54C50, 54H05] 54C30: Real-valued functions [See also 26-XX]
Secondary: 26A15: Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) {For properties determined by Fourier coefficients, see 42A16; for those determined by approximation properties, see 41A25, 41A27} 54C08: Weak and generalized continuity

Darboux function quasi-continuous function strong Swiatkowski function extra strong Swiatkowski function product of functions


Szczuka, Paulina. Products of Extra Strong Świątkowski Functions. Real Anal. Exchange 38 (2012), no. 1, 1--16.

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  • N. Biswas, On some mappings in topological spaces, Bull. Calcutta Math. Soc., 61 (1969), 127–135.
  • S. Kempisty, Sur les fonctions quasicontinues, Fund. Math., 19 (1932), 184–197.
  • A. Maliszewski, On the limits of Świątkowski functions, Zeszyty Nauk. Politech. \Lódz. Mat., 27(719) (1995), 87–93.
  • A. Maliszewski, Darboux Property and Quasi-Continuity. A Uniform Approach, WSP, Słupsk, 1996.
  • P. Szczuka, Products of strong Świątkowski functions, J. Appl. Anal., 12(1) (2006), 129–145.
  • P. Szczuka, Sums and products of extra strong Świątkowski functions, Tatra Mt. Math. Publ., 49 (2011), 71–79.
  • H. P. Thielman, Types of functions, Amer. Math. Monthly, 60(3) (1953), 156–161.