Report of Meeting. The Twenty-first Katowice–Debrecen Winter Seminar on Functional Equations and Inequalities Brenna (Poland), February 2-5, 2022


Report of Meeting. The Twenty-first Katowice–Debrecen Winter Seminar on Functional Equations and Inequalities Brenna (Poland), February 2-5, 2022.


functional equations and inequalities; convex functions; additive functions

1. Z. Boros and W. Fechner, An alternative equation for polynomial functions, Aequationes Math. 89 (2015), no. 1, 17–22.
2. Z. Boros, W. Fechner, and P. Kutas, A regularity condition for quadratic functions involving the unit circle, Publ. Math. Debrecen 89 (2016), no. 3, 297–306.
3. Z. Boros, M. Iqbal, and Á. Száz, A relational improvement of a true particular case of Fierro’s maximality theorem, manuscript.
4. H. Brass and G. Schmeisser, Error estimates for interpolatory quadrature formulae, Numer. Math. 37 (1981), no. 3, 371–386.
5. P. Cannarsa and C. Sinestrari, Semiconcave Functions, Hamilton-Jacobi Equations and Optimal Control, Progress in Nonlinear Differential Equations and their Applications, Birkhäuser, Boston, 2004.
6. J. Chmieliński, On an ε-Birkhoff orthogonality, JIPAM. J. Inequal. Pure Appl. Math. 6 (2005), no. 3, Art. 79, 7 pp.
7. J. Chmieliński, T. Stypuła, and P. Wójcik, Approximate orthogonality in normed spaces and its applications, Linear Algebra Appl. 531 (2017), 305–317.
8. G.H. Hardy, J.E. Littlewood, and G. Pólya, Inequalities, Cambridge University Press, Cambridge, 1934, (first edition), 1952 (second edition).
9. M. Iqbal and Á. Száz, An instructive treatment of the Brézis–Browder ordering and maximality principles, manuscript.
10. E. Jabłonska, On locally bounded above solutions of an equation of the Gołąb-Schinzel type, Aequationes Math. 87 (2014), no. 1–2, 125–133.
11. Z. Kominek, L. Reich, and J. Schwaiger, On additive functions fulfilling some additional condition, Österreich. Akad. Wiss. Math.-Natur. Kl. Sitzungsber. II 207 (1998), 35–42.
12. X.Z. Krasniqi, On α-convex sequences of higher order, J. Numer. Anal. Approx. Theory 45 (2016), no. 2, 177–182.
13. P. Kutas, Algebraic conditions for additive functions over the reals and over finite fields, Aequationes Math. 92 (2018), no. 3, 563–575.
14. A.S. Kushnir and O.V. Maslyuchenko, Pairs of Hahn and separately continuous functions with the given extremal sections, Bukovinian Math. Journal 9 (2021), no. 1, 210–229.
15. J. Morawiec and T. Zürcher, A new take on random interval homeomorphisms, Fund. Math. 257 (2022), no. 1, 1–17.
16. A. Olbryś, A support theorem for generalized convexity and its applications, J. Math. Anal. Appl. 458 (2018), no. 2, 1044–1058.
17. Z. Páles, P. Pasteczka, Decision making via generalized Bajraktarević means. Available at arXiv:2007.04870.
18. M. Plum, Existence and multiplicity proofs for semilinear elliptic boundary value problems by computer assistance, Jahresber. Deutsch. Math.-Verein. 110 (2008), no. 1, 19–54.
19. J. Sándor, On upper Hermite-Hadamard inequalities for geometric-convex and logconvex functions, Notes Number Theory Discrete Math. 20 (2014), no. 5, 25–30.
20. Á. Száz, Altman type generalizations of ordering and maximality principles of Brézis, Browder and Brøndsted, Adv. Stud. Contemp. Math. (Kyungshang) 20 (2010), no. 4, 595–620.
21. G.A. Voloshin, V.K. Maslyuchenko, and V.S. Mel’nik, Hahn’s pairs and zero inverse problem, Mat. Stud. 48 (2017), no. 1, 74–81.
22. P. Wójcik, Approximate orthogonality in normed spaces and its applications II, Linear Algebra Appl. 632 (2022), 258–267.

Published : 2022-03-22

AMSilR. (2022). Report of Meeting. The Twenty-first Katowice–Debrecen Winter Seminar on Functional Equations and Inequalities Brenna (Poland), February 2-5, 2022. Annales Mathematicae Silesianae, 36(1), 92-105. Retrieved from

Redakcja AMSil
Instytut Matematyki, Uniwersytet Śląski w Katowicach  Poland

The Copyright Holders of the submitted text are the Author and the Journal. The Reader is granted the right to use the pdf documents under the provisions of the Creative Commons 4.0 International License: Attribution (CC BY). The user can copy and redistribute the material in any medium or format and remix, transform, and build upon the material for any purpose.

  1. License
    This journal provides immediate open access to its content under the Creative Commons BY 4.0 license ( Authors who publish with this journal retain all copyrights and agree to the terms of the above-mentioned CC BY 4.0 license.
  2. Author’s Warranties
    The author warrants that the article is original, written by stated author/s, has not been published before, contains no unlawful statements, does not infringe the rights of others, is subject to copyright that is vested exclusively in the author and free of any third party rights, and that any necessary written permissions to quote from other sources have been obtained by the author/s.
  3. User Rights
    Under the Creative Commons Attribution license, the users are free to share (copy, distribute and transmit the contribution) and adapt (remix, transform, and build upon the material) the article for any purpose, provided they attribute the contribution in the manner specified by the author or licensor.
  4. Co-Authorship
    If the article was prepared jointly with other authors, the signatory of this form warrants that he/she has been authorized by all co-authors to sign this agreement on their behalf, and agrees to inform his/her co-authors of the terms of this agreement.