dr Paweł Pasteczka

orcid.org/0000-0002-8593-0025

adiunkt (pracownik badawczo-dydaktyczny)

Katedra Analizy Matematycznej i Zastosowań

pokój:     207

telefon:     12 662-62-76

e-mail:     pawel.pasteczka@uken.krakow.pl

prywatna strona www:     https://www.pawelpasteczka.pl

Harmonogram zajęć:

Curriculum Vitae

Wykształcenie

2006-2012 Uniwersytet Warszawski, Wydział Matematyki, Informatyki i Mechaniki, Jednoczesne Studia Informatyczno-Matematyczne

2011-2015 Uniwersytet Warszawski, Wydział Matematyki, Informatyki i Mechaniki,  Studia trzeciego stopnia, stacjonarne - Matematyka

Dyplomy

2010 licencjat z matematyki (UW). Tytuł pracy: Uogólnienia średnich quasi-arytmetycznych; promotor: dr hab. Piotr Mormul.

2011 magister informatyki (UW). Tytuł pracy: Gry na grafach z wagami; promotor: prof. Damian Niwiński.

2012 magister matematyki (UW). Tytuł pracy: When is a family of generalized means a scale?; promotor: dr hab. Piotr Mormul.

2016 doktor nauk matematycznych (UW). Tytuł rozprawy: Analytic methods in inequalities concerning means; promotor: dr hab. Piotr Mormul.

Zainteresowania naukowe

Główne kierunki prowadzonych badań:


Badanie analitycznych własności średnich

Główne wyniki badań:


Kryteria dotyczące własności Hardy'ego dla średnich (w tym ważonych), w tym pozwalające na wyznaczenie optymalnej stałej.

Oszacowanie odległości między średnimi quasi-arytmetycznymi.

 

Granty i projekty badawcze

2013 Grant fundacji Universitias Varsoviensis - projekt "Nierówności typu Hardy'ego dla średnich niejednorodnych"

 

Przebieg pracy zawodowej

• 2015-2017. asystent
• 2017-teraz. adiunkt

Prowadzone (najczęściej) zajęcia dydaktyczne

Pakiety matematyczne (ćwiczenia oraz jednokrotnie wykład)

Informatyka (ćwiczenia)

Projektowanie stron WWW (ćwiczenia)

Konferencje

Konferencje naukowe:

1. Summer Symposium in Real Analysis XXXV, Budapeszt, Węgry, 5 - 11 czerwiec, 2011, referat: When is a family of generalized means a scale?
2. Mathematical Analysis in Fluid Mechanics, Białka Tatrzańska, Polska, 5 - 11 luty, 2011
3. Norwegian Summer School on Geometry and Analysis, Bergen, Norwegia, 24 - 28 czerwiec, 2013
4. 15th International Conference on Functional Equations and Inequalities, Ustroń, Polska, 19 - 25 maj, 2013, referat: Arrow-Pratt index is instrumental in estimating dierences among quasi-arithmetic means
5. 20th European Conference on Iteration Theory, Łagów, Polska, 14 - 20 wrzesień, 2014, referat: Scales of quasi-arithmetic means determined by invariance properties
6. Conference on Ulam's Type Stability, Rytro, Polska, 2 - 6 czerwiec, 2014, referat: On negative results concerning Hardy means
7. Mathematical inequalities and application 2015, Mostar, Bośnia i Hercegowina, 11 - 15 listopad, 2015, referat: Iterated Quasi-Arithmetic Mean-Type Mappings
8. 53rd International Symposium on Functional Equations, Krynica-Zdrój, Polska, 14 - 21 czerwiec, 2015, referat: Iterated quasi-arithmetic mean-type mappings
9. 16th International Conference on Functional Equations and Inequalities, Będlewo, Polska, 17 - 23 maj, 2015, referat: Limit properties in a family of quasi-arithmetic means
10. 54th International Symposium on Functional Equations, Hajdúszoboszló, Węgry, 12 - 19 czerwiec, 2016, referat: Estimating the distance among quasi-arithmetic means: the journey so far
11. Conference on Ulam's Type Stability, Cluj-Napoca, Rumunia, 4 - 9 lipiec, 2016, referat: Lower estimation of the difference among quasi-arithmetic means
12. Conference on Inequalities and Applications 2016, Hajduszoboszlo, Węgry, 28 sierpień - 3 wrzesień , 2016, referat: Hardy property among invariant means
13. 55th International Symposium on Functional Equations, Chengdu, Chiny, 11 - 18 czerwiec, 2017, referat: Weighted Kedlaya inequality
14. 17th International Conference on Functional Equations and Inequalities, Będlewo, Polska, 9 - 15 lipiec, 2017, referat: Weighted Kedlaya inequality
15. 56th International Symposium on Functional Equations, Graz-Mariatrost, Austria, 17 - 24 czerwiec, 2018, referat: On Hardy type inequalities for weighted means
16. Conference on Ulam's Type Stability, Timișoara, Rumunia, 8 - 13 październik, 2018, referat: On the quasi-arithmetic Gauss-type iteration
17. Numbers, Functions, Equations 2018, Hajdúszoboszló, Węgry, 26 sierpień - 1 wrzesień , 2018, referat: Jensen-type geometric shapes
18. Function Spaces XII, Kraków, Polska, 9 - 14 lipiec, 2018, referat: On Hardy type inequalities for weighted means
19. 18th International Conference on Functional Equations and Inequalities, Będlewo, Polska, 9 - 15 czerwiec, 2019, referat: Weakening of Hardy property for means
20. 57th International Symposium on Functional Equations, Jastarnia, Polska, 2 - 9 czerwiec, 2019, referat: Invariance property for discontinuous means
21. Dynamics, Equations and Applications 2019, Kraków, Polska, 16 - 20 wrzesień, 2019, referat: Quasi-arithmetic Gauss-type iteration
22. Lyantse Centennial Conference on Functional Analysis and Applications, Lwów, Ukraina, 18 - 20 wrzesień, 2020, referat: On a norm of generalized Hardy operator
23. The 21st Katowice-Debrecen Winter Seminar on Functional Equations and Inequalities, Brenna, Polska, 2 - 5 luty, 2022, referat: Decision making via generalized Bajraktarević means
24. 58th International Symposium on Functional Equations, Innsbruck, Austria, 19 - 26 czerwiec, 2022, referat: The ultimate characterization of the Jensen convexity of quasiarithmetic means
25. XXX European Workshop on Economic Theory, Warszawa, Polska, 7 - 9 lipiec, 2022
26. VIII Hurwicz Workshop on Mechanism Design Theory, Warszawa, Polska, 4 - 5 listopad, 2022
27. 59th International Symposium on Functional Equations, Hajdúszoboszló, Węgry, 18 - 25 czerwiec, 2023, referat: Decision making via generalized Bajraktarević means
28. 20th International Conference on Functional Equations and Inequalities, Będlewo, Polska, 17 - 23 wrzesień, 2023, referat: Invariance property for extended means
29. The Twenty Third Katowice-Debrecen Winter Seminar on Functional Equations and Functional Inequalities, Brenna, Polska, 31 styczeń - 3 luty , 2024, referat: Multivariable generalizations of bivariate means via invariance
30. The 24th European Conference on Iteration Theory, Vimeiro, Portugalia, 27 - 31 maj, 2024, referat: Extension theorem for simultaneous q-difference equations and some its consequences
31. 60th International Symposium on Functional Equations, Kościelisko, Polska, 9 - 15 czerwiec, 2024, referat: Equality and comparison of generalized quasiarithmetic means

Staże naukowe, wyjazdy zagraniczne

University of Debrecen, Węgry, 8.03–21.03.2015

University of Debrecen, Węgry, 8.10–22.10.2016

University of Debrecen, Węgry, 17.09–20.12.2017

University of Debrecen, Węgry, 13.10–10.11.2018

University of Debrecen, Węgry, 21.09–23.10.2019

Współpraca międzyuczelniana i zagraniczna

University of Debrecen, Uniwersytet Rzeszowski, Uniwersytet Zielonogórski

Nagrody, wyróżnienia, odznaczenia

Wyróżnienia naukowe:


Medal For outstanding contributions to the 58th Symposium on Functional Equations 2022 przyznany przez Komitet Naukowy ISFE

Stypendium Ministra Nauki i Szkolnictwa Wyższego dla wybitnie zdolnych młodych naukowców, 2019

Stypendium dla najlepszych doktorantów 2013-2015

Stypendium Krajowego Funduszu na Rzecz Dzieci, 2005

Stypendium Funduszu Pomocy Młodym Talentom Jolanty i Aleksandra Kwaśniewskich, 2004

Publikacje

Artykuły naukowe:

1. Zs. Páles, P. Pasteczka, Decision making via generalized Bajraktarević means, Ann. Oper. Res. 332 (2024), 461-480
2. Zs. Páles, P. Pasteczka, Estimating the Hardy constant of nonconcave homogenous quasideviation means, Ann. Math. Sil. 38 (2024), 78-92
3. W. Jarczyk, P. Pasteczka, Extension theorem for simultaneous q-difference equations and some its consequences, Results Math. 79 (2024), Art. No.: 262
4. P. Pasteczka, On the invariance equation for means of generalized power growth, Math. Inequal. Appl. 27 (2024), 691-702
5. P. Pasteczka, On negative results concerning weak-Hardy means, Colloq. Math. 171 (2023), 153-158
6. Zs. Páles, P. Pasteczka, Estimating the Hardy constant of nonconcave Gini means, Math. Inequal. Appl. 26 (2023), 195-203
7. P. Pasteczka, Invariance property for extended means, Results Math. 78 (2023), Art. No.: 146
8. P. Pasteczka, Error recognition in the Cantor cube, Ann. Univ. Paedagog. Crac. Stud. Math. (2023), 75-86
9. Zs. Páles, P. Pasteczka, On the Jensen convexity of quasideviation and Bajraktarević means, Aequationes Math. 96 (2023), 1201-1219
10. K. Gryszka, P. Pasteczka, On the L1 and pointwise divergence of continuous functions, Period. Math. Hungar. 87 (2023), 75-85
11. P. Pasteczka, There is at most one continuous invariant mean, Aequationes Math. 96 (2022), 833-841
12. P. Pasteczka, On properties of weighted Hardy constant for means, Math. Inequal. Appl. 25 (2022), 1047-1068
13. P. Pasteczka, On the integral approach to means and their Hardy property, Rev. R. Acad. Cienc. Exactas Fís. Nat. Ser. A Mat. RACSAM 116 (2022), Art. No.: 142
14. B. Deręgowska, P. Pasteczka, Quasiarithmetic-type invariant means on probability space, Aequationes Math. 95 (2021), 639-651
15. J. Matkowski, P. Pasteczka, Mean-type mappings and invariance principle, Math. Inequal. Appl. 24 (2021), 209-217
16. Zs. Páles, P. Pasteczka, On the Jensen convex and Jensen concave envelopes of means, Arch. Math. (Basel) 116 (2021), 423-432
17. Zs. Páles, P. Pasteczka, New bounds for the ratio of power means, J. Math. Inqual. 15 (2021), 1233-1237
18. J. Chudziak, Zs. Páles, P. Pasteczka, From the Ingham-Jessen property to mixed-mean inequalities, J. Math. Anal. Appl. 499 (2021), Art. No.: 124999
19. P. Pasteczka, Online premeans and their computation complexity, Results Math. 76 (2021), Art. No.: 141
20. P. Pasteczka, On the Hardy property of mixed means, Math. Inequal. Appl. 24 (2021), 873-885
21. Zs. Páles, P. Pasteczka, On Hardy type inequalities for weighted quasideviation means, Math. Inequal. Appl. 23 (2020), 971-990
22. P. Pasteczka, Jensen-type geometric shapes, Ann. Univ. Paedagog. Crac. Stud. Math. 19 (2020), 27-33
23. J. Matkowski, P. Pasteczka, Invariant means and iterates of mean-type mappings, Aequationes Math. 94 (2020), 405-414
24. P. Pasteczka, Weakening of the Hardy property for means, Bull. Aust. Math. Soc. 101 (2020), 118-129
25. P. Pasteczka, On a lattice-like property of quasi-arithmetic means, J. Math. Anal. Appl. 486 (2020), Art. No.: 123892
26. J. Matkowski, P. Pasteczka, Invariant means, complementary averages of means, and a characterization of the beta-type means, Mathematics 8 (2020), Art. No.: 1753
27. P. Pasteczka, Zs. Páles, On Hardy type inequalities for weighted means, Banach J. Math. Anal. 13 (2019), 217-233
28. W. Jarczyk, P. Pasteczka, Simultaneous difference equations on a restricted domain, Aequationes Math. 93 (2019), 239-246
29. P. Pasteczka, Interval-type theorems concerning quasi-arithmetic means, Math. Inequal. Appl. 22 (2019), 509-518
30. P. Pasteczka, Invariant property for discontinuous mean-type mappings, Publ. Math. Debrecen 94 (2019), 409-419
31. Zs. Páles, P. Pasteczka, On the homogenization of means, Acta Math. Hungar. 159 (2019), 537-562
32. P. Pasteczka, Lower estimation of the difference between quasi-arithmetic means, Aequationes Math. 92 (2018), 7-24
33. P. Pasteczka, Zs. Páles, On the best Hardy constant for quasi-arithmetic means and homogeneous deviation means, Math. Inequal. Appl. 21 (2018), 585-599
34. P. Pasteczka, Zs. Páles, On Kedlaya-type inequalities for weighted means, J. Inequal. Appl. 2018, Art. No.: 99
35. P. Pasteczka, Interval-type theorems concerning means, Ann. Univ. Paedagog. Crac. Stud. Math. 17 (2018), 37-43
36. P. Pasteczka, On the quasi-arithmetic Gauss-type iteration, Aequationes Math. 92 (2018), 1119-1128
37. P. Pasteczka, Iterated Quasi-Arithmetic Mean-Type Mappings, Colloq. Math. 144 (2016), 215-228
38. P. Pasteczka, Limit properties in a family of quasi-arithmetic means, Aequationes Math. 90 (2016), 773-785
39. P. Pasteczka, Zs. Páles, Characterization of the Hardy property of means and the best Hardy constants, Math. Inequal. Appl. 19 (2016), 1141-1158
40. P. Pasteczka, On some Hardy type inequalities involving generalized means, Publ. Math. Debrecen 87 (2015), 167-173
41. P. Pasteczka, On negative results concerning Hardy means, Acta Math. Hungar. 146 (2015), 98-106
42. P. Pasteczka, A new estimate of the difference among quasi-arithmetic means, Math. Inequal. Appl. 18 (2015), 1321-1327
43. P. Pasteczka, Scales of quasi-arithmetic means determined by an invariance property, J. Difference Equ. Appl. 21 (2015), 742-755
44. P. Pasteczka, When is a Family of Generalized Means a Scale? , Real Anal. Exchange 38 (2013), 193-210


Inne publikacje:

45. Z. Boros, R. L. Lovas, P. Pasteczka, Correction to: There is at most one continuous invariant mean, Aequationes Math. 97 (2023), 883-885