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dr (Ph. D.)
Paweł Pasteczka
orcid.org/0000-0002-8593-0025
adiunkt (pracownik badawczo-dydaktyczny) (assistant professor)
Chair of Mathematical Analysis and Applications

room: 207

phone: 12 662-62-76

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

presonal webpage: https://www.pawelpasteczka.pl

Consultation hours:

Uzgadnianie indywidualnie za pośrednictwem e-mail lub MS Teams.

Classes hours:

Curriculum Vitae

Education

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

Received Degrees

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.

Interests

Research:

Badanie analitycznych własności średnich

Research Results:

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

Oszacowanie odległości między średnimi quasi-arytmetycznymi.

Participation in research grants

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

Professional activity

2015-2017. asystent
2017-teraz. adiunkt

Teaching activity

Pakiety matematyczne (ćwiczenia oraz jednokrotnie wykład)

Informatyka (ćwiczenia)

Projektowanie stron WWW (ćwiczenia)

Attended conferences

Scientific conferenced:

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

Research Fellowships

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

Partnership and Cooperation

University of Debrecen, Uniwersytet Rzeszowski, Uniwersytet Zielonogórski

Honors and Awards

Scienticic Awards:

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

Publications

Articles:

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

Other publications:

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