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Products of Świa̧tkowski functions

  • Aleksander Maliszewski EMAIL logo and Julia Wódka
From the journal Mathematica Slovaca

Abstract

The aim of this paper is to characterize the products of Świa̧tkowski functions.


(Communicated by Ján Borsík)


References

[1] Borsík, J.: Products of simply continuous and quasicontinuous functions, Math. Slovaca 45 (1995), 445–452. http://dml.cz/bitstream/handle/10338.dmlcz/136657/MathSlov_45-1995-4_13.pdfSearch in Google Scholar

[2] Kempisty, S.: Sur les fonctions quasicontinues, Fund. Math. 19 (1932), 184–197. http://matwbn.icm.edu.pl/ksiazki/fm/fm19/fm19115.pdf10.4064/fm-19-1-184-197Search in Google Scholar

[3] Maliszewski, A.: On the limits of strong Świa̧tkowski functions, Zeszyty Nauk. Politech. Łóodz. Mat. 27 (1995), No. 719, 87–93.Search in Google Scholar

[4] Maliszewski, A.: Sums and products of quasi-continuous functions, Real Anal. Exchange 21 (1995-96), 320–329. http://projecteuclid.org/DPubS?service=UI&version=1.0&verb=Display&handle=euclid.rae/134134324910.2307/44153922Search in Google Scholar

[5] Maliszewski, A.: Darboux Property and Quasi-continuity. A Uniform Approach, WSP, Słupsk, 1996.Search in Google Scholar

[6] Mańk, T.—Świa̧tkowski, T.: On some class of functions with Darboux’s characteristic, Zeszyty Nauk. Politech. Łóodz. Mat. 11 (1977), No. 301, 5–10.Search in Google Scholar

[7] Natkaniec, T.: Products of quasi-continuous functions, Math. Slovaca 40 (1990), 401–405. http://dml.cz/bitstream/handle/10338.dmlcz/129385/MathSlov_40-1990-4_7.pdfSearch in Google Scholar

[8] Pawlak, R. J.: Przekształcenia Darboux. Dissertation, Łódź University, 1985 (Polish).Search in Google Scholar

[9] Pawlak, H.—Wilczyński, W.: On the condition of Darboux and Świa̧tkowski for functions of two variables, Zeszyty Nauk. Politech. Łóodz. Mat. 15 (1982), No. 395, 31–35.Search in Google Scholar

[10] Szczuka, P.: Algebraiczne własności funkcji, któore spełniaja̧ silny warunek Świa̧tkowskiego. Ph.D. Thesis, PŁ, ŁŃdź, 2005 (Polish).Search in Google Scholar

[11] Szczuka, P.: Maximum of extra strong Świa̧tkowski functions, Math. Slovaca 62 (2012), 473–478. http://link.springer.com/article/10.2478%2Fs12175-012-0023-z10.2478/s12175-012-0023-zSearch in Google Scholar

[12] Thielman, H. P.: Types of functions, Amer. Math. Monthly 60 (1953), 156–161.10.1080/00029890.1953.11988260Search in Google Scholar

Received: 2013-8-2
Accepted: 2013-10-20
Published Online: 2016-8-17
Published in Print: 2016-6-1

© 2016 Mathematical Institute Slovak Academy of Sciences

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