The Marek Kuczma Competition has been organised annually since 1974 by the Institute of Mathematics of the University of Silesia in Katowice. Its aim is to select the best Polish papers published in a given calendar year in the area of functional equations and inequalities and applications of this theory in related fields. It is also a form of commemorating the creator of the Polish school of functional equations and a scientist who was associated with the University of Silesia since its inception in 1968.
On December 4, 2021, the jury announced the list of winners for the 2020 and 2019 papers (the competition was postponed due to the pandemic). The jury was chaired by Prof. Maciej Sablik, from the Faculty of Science and Technology of the University of Silesia. Other members of the jury were Roman Badora, PhD, DSc, Associate Professor and Janusz Morawiec, PhD, DSc, Associate Professor (jury secretary) from the Faculty of Science and Technology of the University of Silesia.
Some of the winners were employees of the University of Silesia.
Radosław Łukasik, PhD, from the Faculty of Science and Technology won the first prize for the publication written together with Paweł Wójcik, PhD, from the Pedagogical University of Krakow entitled „Functions preserving the biadditivity” (2020 papers).
Prof. Karol Baron from the Faculty of Science and Technology was awarded second place for his publication entitled „Weak law of large numbers for iterates of random-valued functions” (2019 papers) and second place for the publication entitled „Weak limit of iterates of some random-valued functions and its application” (2020 papers).
The list of awarded papers:
Taras Banakh, Eliza Jabłońska, “Null-finite sets in topological groups and their applications”. Israel J. Math. 230 (2019), no. 1, 361–386;
Karol Baron, “Weak law of large numbers for iterates of random-valued functions”. Aequationes Math. 93 (2019), no. 2, 415–423;
Andrzej Komisarski, Teresa Rajba, “Convex order for convolution polynomials of Borel measures”. J. Math. Anal. Appl. 478 (2019), no. 1, 182–194.
two equal first places:
– Radosław Łukasik, Paweł Wójcik, “Functions preserving the biadditivity”. Results Math. 75 (2020), no. 3, Paper No. 82, 17 pp;
– Janusz Matkowski, “Means, generalized harmony proportion and applications”. Colloq. Math. 160 (2020), no. 1, 109–118;
Karol Baron, “Weak limit of iterates of some random-valued functions and its application”. Aequationes Math. 94 (2020), no. 3, 415–425;
Justyna Jarczyk, Witold Jarczyk, “Gaussian iterative algorithm and integrated automorphism equation for random means. Discrete Contin”. Dyn. Syst. 40 (2020), no. 12, 6837–6844.
For more information, see the Mark Kuczma competition website.
photo by Antoine Dautry | Unsplash