https://www.journals.us.edu.pl/index.php/AMSIL/issue/feedAnnales Mathematicae Silesianae2024-03-27T20:47:10+00:00Editorial Officeannales.math@us.edu.plOpen Journal Systems<p><em>Annales Mathematicae Silesianae</em> publishes significant research and survey papers from all branches of pure and applied mathematics and reports of meetings. It welcomes contributed papers that develop important, new mathematical ideas and results or solve outstanding problems. Submissions are strictly refereed, and only articles of the highest quality are accepted for publication.</p> <p>The journal does not have article processing charges or article submission charges.</p> <p><em>Annales Mathematicae Silesianae</em> is published by the University of Silesia Press (Poland). The first number of the journal appeared in 1985. Formerly (since 1969) it was published under the title <em>Prace Naukowe Uniwersytetu Śląskiego w Katowicach. Prace Matematyczne.</em></p> <p>The Editorial Board participates in a growing community of Similarity Check System's users to ensure that the content published is original and trustworthy. Similarity Check is a medium that allows for comprehensive manuscript screening to eliminate plagiarism and provide a high standard and quality peer-review process.</p>https://www.journals.us.edu.pl/index.php/AMSIL/article/view/17251On a certain Polish mathematician: a brief summary of scientific research and achievements of Kazimierz Nikodem, professor of mathematics2024-03-27T20:47:09+00:00Mirosław Adamekmadamek@ubb.edu.pl<p>A brief summary of scientific research and achievements of Kazimierz Nikodem, professor of mathematics.</p>2024-03-20T00:00:00+00:00##submission.copyrightStatement##https://www.journals.us.edu.pl/index.php/AMSIL/article/view/16732Note on an iterative functional equation2024-03-27T20:47:09+00:00Karol Baronkarol.baron@us.edu.plJanusz Morawiecjanusz.morawiec@us.edu.pl<p>We study the problem of solvability of the equation<br><em>ϕ</em>(<em>x</em>) = ∫<sub>Ω</sub><em>g</em>(<em>ω</em>)<em>ϕ</em>(<em>f</em>(<em>x</em>,<em>ω</em>))<em>P</em>(d<em>ω</em>) + <em>F</em>(<em>x</em>)<br>where <em>P</em> is a probability measure on a σ-algebra of subsets of Ω, assuming Hölder continuity of <em>F</em> on the range of <em>f</em>.</p>2024-01-10T00:00:00+00:00##submission.copyrightStatement##https://www.journals.us.edu.pl/index.php/AMSIL/article/view/16727Generalized polynomials on semigroups2024-03-27T20:47:10+00:00Bruce Ebanksebanks1950@gmail.com<p>This article has two main parts. In the first part we show that some of the basic theory of generalized polynomials on commutative semigroups can be extended to all semigroups. In the second part we show that if a sub-semigroup <em>S</em> of a group <em>G</em> generates <em>G</em> in the sense that <em>G = S·S</em><sup>−1</sup>, then a generalized polynomial on <em>S</em> with values in an Abelian group <em>H</em> can be extended to a generalized polynomial on <em>G</em> into <em>H</em>. Finally there is a short discussion of the extendability of exponential functions and generalized exponential polynomials.</p>2024-01-10T00:00:00+00:00##submission.copyrightStatement##https://www.journals.us.edu.pl/index.php/AMSIL/article/view/16500On almost everywhere K-additive set-valued maps2024-03-27T20:47:10+00:00Eliza Jabłońskaelizajab@agh.edu.pl<p>Let <em>X</em> be an Abelian group, <em>Y</em> be a commutative monoid, <em>K</em>⊂<em>Y</em> be a submonoid and <em>F</em>:<em>X</em>→2<sup><em>Y</em></sup>\{∅} be a set-valued map. Under some additional assumptions on ideals 𝓘<sub>1</sub> in <em>X</em> and 𝓘<sub>2</sub> in <em>X</em><sup class="moz-txt-sup"><span style="display: inline-block; width: 0; height: 0; overflow: hidden;">^</span>2</sup>, we prove that if <em>F</em> is 𝓘<sub>2</sub>-almost everywhere <em>K</em>-additive, then there exists a unique up to <em>K</em> <em>K</em>-additive set-valued map <em>G</em>:<em>X</em>→2<sup><em>Y</em></sup>\{∅} such that <em>F</em>=<em>G</em> 𝓘<sub>1</sub>-almost everywhere in <em>X</em>. Our considerations refers to the well known de Bruijn’s result [1].</p>2023-12-13T00:00:00+00:00##submission.copyrightStatement##https://www.journals.us.edu.pl/index.php/AMSIL/article/view/16731New upper bounds for the weighted Chebyshev functional2024-03-27T20:47:10+00:00Milica Klaričić Bakulamilica@pmfst.hrJosip Pečarićpecaric@element.hr<p>New upper bounds for the weighted Chebyshev functional under various conditions, including those of Steffensen type, are given. The obtained results are used to establish some new bounds for the Jensen functional.</p>2024-01-10T00:00:00+00:00##submission.copyrightStatement##https://www.journals.us.edu.pl/index.php/AMSIL/article/view/17099Steklov type operators and functional equations2024-03-27T20:47:10+00:00Gabriela Motroneagdenisa19@gmail.comDorian PopaPopa.Dorian@math.utcluj.roIoan RaşaIoan.Rasa@math.utcluj.ro<p>We consider sequences of Steklov type operators and an associated functional equation. For a suitable sequence, we establish asymptotic formulas.</p>2024-02-15T00:00:00+00:00##submission.copyrightStatement##https://www.journals.us.edu.pl/index.php/AMSIL/article/view/16498A basic set of cancellation violating sequences for finite two-dimensional non-additive measurement2024-03-27T20:47:10+00:00Che Tat Ngctng@uwaterloo.ca<p>Cancellation conditions play a central role in the representation theory of measurement for a weak order on a finite two-dimensional Cartesian product set <em>X</em>. A weak order has an additive representation if and only if it violates no cancellation conditions. Given <em>X</em>, a longstanding open problem is to determine the simplest set of cancellation conditions that is violated by every linear order that is not additively representable. Here, we report that the simplest set of cancellation conditions on a 5 by 5 product <em>X</em> is obtained.</p>2023-12-13T00:00:00+00:00##submission.copyrightStatement##https://www.journals.us.edu.pl/index.php/AMSIL/article/view/17098Estimating the Hardy constant of nonconcave homogeneous quasideviation means2024-03-27T20:47:10+00:00Zsolt Pálespales@science.unideb.huPaweł Pasteczkapawel.pasteczka@up.krakow.pl<p>In this paper, we consider homogeneous quasideviation means generated by real functions (defined on (0,∞)) which are concave around the point 1 and possess certain upper estimates near 0 and ∞. It turns out that their concave envelopes can be completely determined. Using this description, we establish sufficient conditions for the Hardy property of the homogeneous quasideviation mean and we also furnish an upper estimates for its Hardy constant.</p>2024-02-15T00:00:00+00:00##submission.copyrightStatement##https://www.journals.us.edu.pl/index.php/AMSIL/article/view/17254On functions with monotonic differences2024-03-27T20:47:10+00:00Teresa Rajbatrajba@ubb.edu.pl<p>Motivated by the Szostok problem on functions with monotonic differences (2005, 2007), we consider <em>a</em>-Wright convex functions as a generalization of Wright convex functions. An application of these results to obtain new proofs of known results as well as new results is presented.</p>2024-03-20T00:00:00+00:00##submission.copyrightStatement##https://www.journals.us.edu.pl/index.php/AMSIL/article/view/17253Speed of light or composition of velocities2024-03-27T20:47:10+00:00Maciej Sablikmaciej.sablik@us.edu.pl<p>We analyze in our paper questions of the theory of relativity. We approach this theory from the point of view of velocities and their composition. This is where the functional equations appear. Solving them leads to a world where velocities are bounded from above, the upper bound being exactly the “speed of light”.</p>2024-03-20T00:00:00+00:00##submission.copyrightStatement##https://www.journals.us.edu.pl/index.php/AMSIL/article/view/16729Adaptive integration of convex functions of one real variable2024-03-27T20:47:10+00:00Szymon Wąsowiczswasowicz@ubb.edu.pl<p>We present an adaptive method of approximate integration of convex (as well as concave) functions based on a certain refinement of the celebrated Hermite–Hadamard inequality. Numerical experiments are performed and the role of harmonic numbers is shown.</p>2024-01-10T00:00:00+00:00##submission.copyrightStatement##