Tibor Šalát
Tibor Šalát (May 13, 1926 – May 14, 2005) was a Slovak mathematician, professor of mathematics, and Doctor of Mathematics who specialized in number theory and real analysis. He was the author and co-author of undergraduate and graduate textbooks in mathematics, mostly in Slovak. And most of his scholarly papers have been published in various scientific journals.
Tibor Šalát | |
|---|---|
| Born | May 13, 1926 |
| Died | May 14, 2005 (aged 79) |
| Nationality |  Slovakian |
| Alma mater | Charles University in Prague |
| Known for | Number theory Real analysis |
| Scientific career | |
| Fields | Mathematician |
| Institutions | Comenius University in Bratislava |
Life
Originally from Žitava by the southern region of Slovakia, he studied at the Faculty of Natural Sciences of Charles University in Prague, where in 1952 he defended a dissertation entitled Príspevok k teorii súčtov a nekonečných radov s reálnými členami and supervised by Miloš Kössler and Vojtěch Jarník.[1] In 1952 he went to work at the Faculty of Natural Sciences of Comenius University in Bratislava, where he became an assistant professor in 1962. He was appointed to a full professorship position in 1972. And in 1974, he earned a Ph.D. in Mathematics from the same institution.[2]
He specialized in Cantor's expansions, uniform distribution, statistical convergence, summation methods and theory of numbers.[2]
He wrote several undergraduate and graduate textbooks.
Academic papers
- Juraj Činčura; Tibor Šalát; Martin Sleziak; Vladimír Toma (2005). "Sets of statistical cluster points and ℐ-cluster points". Real Analysis Exchange. 30 (2): 565–580. doi:10.14321/realanalexch.30.2.0565. MR 2177419.
- Pavel Kostyrko; Władysław Wilczyński; Tibor Šalát (2001). "I-Convergence". Real Analysis Exchange. 26 (2): 669–686. MR 1844385.
- Tibor Šalát (1980). "On statistically convergent sequences of real numbers". Mathematica Slovaca. 30 (2): 139–150. MR 0587239.
- Tibor Šalát; S. James Taylor; János T. Tóth (1998). "Radii of Convergence of Power Series". Real Analysis Exchange. 24 (1): 263–274. doi:10.2307/44152953. JSTOR 44152953. MR 1691750.
- Ján Borsík; Jaroslav Červeňanský; Tibor Šalát (1995). "Remarks on functions preserving convergence of infinite series". Real Analysis Exchange. 21 (2): 725–731. doi:10.2307/44152683. JSTOR 44152683. MR 1407285.
- M. Dindoš; T. Šalát; V. Toma (2003). "Statistical Convergence of Infinite Series". Czechoslovak Mathematical Journal. 53 (4): 989–1000. doi:10.1023/B:CMAJ.0000024535.89828.e8. hdl:10338.dmlcz/127854. MR 2018844. S2CID 121987409.
- Tibor Šalát (2000). "Remarks on Steinhaus' property and ratio sets of sets of positive integers". Czechoslovak Mathematical Journal. 50 (1): 175–183. doi:10.1023/A:1022457724187. hdl:10338.dmlcz/127559. MR 1745470. S2CID 117275867.
- Tibor Šalát (2000). "On uniform distribution of sequences". Czechoslovak Mathematical Journal. 50 (2): 331–340. doi:10.1023/A:1022422919181. hdl:10338.dmlcz/127572. MR 1761390. S2CID 117677265.
References
- Veselý, Jiří (1999), "Pedagogical activities of Vojtěch Jarník", in Novák, Břetislav (ed.), Life and work of Vojtěch Jarník, Prague: Union of Czech mathematicians and physicists, pp. 83–94, ISBN 80-7196-156-6.
- Kostyrko, Pavel; Strauch, Oto (1996). "Seventy years of professor Tibor Šalát". Mathematica Slovaca. Institute of Mathematics of the Academy of Sciences of the Czech Republic. 46 (2–3): 129–141.