Výsledky vyhledávání - Iteration of real functions in one variable

Continuous dependence of the weak limit of iterates of some random-valued vector functions

Autoři: Komorek, Dawid

Zdroj: Aequationes mathematicae. 97:753-776

Témata: random-valued function, invariant measure, iterative equation, Functional equations for functions with more general domains and/or ranges, Iteration theory, iterative and composite equations, random iteration, 0101 mathematics, Iteration of real functions in one variable, 01 natural sciences, Random iteration, Hutchinson distance, Fortet-Mourier distance, random affine map

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/7697387
https://doi.org/10.1007/s00010-023-00959-w

Sur les groupes d'itération monotones

Autoři: Abel, Ulrich

Zdroj: Publicationes Mathematicae Debrecen. 29:65-71

Témata: order preserving bijections, continuous iteration groups, Functional equations for functions with more general domains and/or ranges, Iteration theory, iterative and composite equations, non-integral iteration, order topology, Total orders, 0101 mathematics, Iteration of real functions in one variable, 01 natural sciences, monotone iteration group, order reversing bijection

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/3796493

Über die Iteration reeller Funktionen. I: Über die Iteration reeller Funktionen III

Autoři: Barna, B.

Zdroj: Publicationes Mathematicae Debrecen. 7:16-40

Témata: 0101 mathematics, differentiation and integration, measure theory, Iteration of real functions in one variable, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/3500088
https://zbmath.org/3284433
https://zbmath.org/3181316

On differentiable iteration groups

Autoři: Zdun, Marek Cezary

Zdroj: Publicationes Mathematicae Debrecen. 26:105-114

Témata: differentiable and convex iteration group, Iteration theory, iterative and composite equations, 0101 mathematics, Iteration of real functions in one variable, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/3676459

Fixed point iterations for real functions

Autoři: Borwein, David Borwein, Jonathan

Zdroj: Journal of Mathematical Analysis and Applications. 157:112-126

Témata: Mann iterations, Fixed-point theorems, fixed points, Lipschitz function, Applied Mathematics, real functions, Iteration of real functions in one variable, segmenting Mann iteration, Analysis, continuous function

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/12831
https://doi.org/10.1016/0022-247x(91)90139-q
http://www.sciencedirect.com/science/article/pii/0022247X9190139Q
https://www.sciencedirect.com/science/article/pii/0022247X9190139Q
https://www.sciencedirect.com/science/article/abs/pii/0022247X9190139Q

Ein Eindeutigkeitssatz für stetige Lösungen von Funktionalgleichungen

Autoři: Krüppel, Manfred

Zdroj: Publicationes Mathematicae Debrecen. 27:201-205

Témata: continuous solutions, Iteration theory, iterative and composite equations, sequence of iterates, singular points, 0101 mathematics, Iteration of real functions in one variable, uniqueness theorem, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/3724983

Functional equations related to the iteration of functions

Autoři: R. Resch Jörg Waldvogel Frank Stenger

Zdroj: Aequationes mathematicae. 60:25-37

Témata: iteration of functions, Babagge's equation, functional equations, Schröder's equation, Iteration theory, iterative and composite equations, Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable, dynamical systems, 0101 mathematics, Iteration of real functions in one variable, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: https://www.research-collection.ethz.ch/bitstream/20.500.11850/145803/1/eth-24737-01.pdf
http://e-collection.library.ethz.ch/eserv/eth:24737/eth-24737-01.pdf
https://link.springer.com/article/10.1007/s000100050133

How to compare power towers?

Autoři: Gryszka, Karol

Zdroj: Lithuanian Mathematical Journal. 62:192-206

Témata: tetration, iterated exponentiation, Other number representations, 0101 mathematics, large numbers, Iteration of real functions in one variable, 01 natural sciences, power tower

Popis souboru: application/xml

On the speed of convergence of iteration of a function

Autoři: Vladimir Drobot

Zdroj: International Journal of Mathematics and Mathematical Sciences, Vol 17, Iss 1, Pp 31-36 (1994)

Témata: slow convergence, iterations of a function, QA1-939, Iteration theory, iterative and composite equations, concave function, 0101 mathematics, Iteration of real functions in one variable, 01 natural sciences, Mathematics, Convexity of real functions in one variable, generalizations, rate of convergence, iterates

Popis souboru: application/xml

Přístupová URL adresa: http://downloads.hindawi.com/journals/ijmms/1994/845310.pdf
https://zbmath.org/561625
https://doi.org/10.1155/s0161171294000050
https://doaj.org/article/e7185e9aa0de4152a6c3eade8664fa88
https://www.hindawi.com/journals/ijmms/1994/845310/
https://downloads.hindawi.com/journals/ijmms/1994/845310.pdf

A 𝐶¹ function for which the 𝜔-limit points are not contained in the closure of the periodic points: A \(C^1\) function for which the \(\omega\)-limit points are not contained in the closure of the periodic points

Autoři: D'ANIELLO, Emma STEELE T. H.

Zdroj: Transactions of the American Mathematical Society. 355:2545-2556

Témata: Dynamical systems involving maps of the interval, periodic point, trajectory, 0101 mathematics, Topological dynamics, 16. Peace & justice, Iteration of real functions in one variable, 01 natural sciences, \(\omega\)-limit point

Popis souboru: application/xml

Přístupová URL adresa: https://www.ams.org/tran/2003-355-06/S0002-9947-03-03258-6/S0002-9947-03-03258-6.pdf
https://zbmath.org/1896868
https://doi.org/10.1090/s0002-9947-03-03258-6
https://www.ams.org/tran/2003-355-06/S0002-9947-03-03258-6/S0002-9947-03-03258-6.pdf
https://www.ams.org/journals/tran/2003-355-06/S0002-9947-03-03258-6/home.html

Selections of an iteration semigroup of linear set-valued functions

Autoři: Jolanta Olko

Zdroj: aequationes mathematicae. 56:157-168

Témata: linear set-valued functions, selections, Iteration theory, iterative and composite equations, Set-valued set functions and measures, integration of set-valued functions, measurable selections, 0101 mathematics, iteration semigroup, Iteration of real functions in one variable, 01 natural sciences, Set-valued maps in general topology

Popis souboru: application/xml

Přístupová URL adresa: https://rd.springer.com/article/10.1007/s000100050052
https://link.springer.com/article/10.1007/s000100050052

Asymptotic Behavior for Iterated Functions of Random Variables

Autoři: Li, Deli Rogers, T. D.

Zdroj: The Annals of Applied Probability, 1999 Nov 01. 9(4), 1175-1201.

Přístupová URL adresa: https://www.jstor.org/stable/2667146

Transfinite Function Iteration and Surreal Numbers: Transfinite function iteration and surreal numbers

Autoři: W. A. Beyer James D. Louck

Zdroj: Advances in Applied Mathematics. 18:333-350

Témata: Ordinal and cardinal numbers, Applied Mathematics, transfinite iterates, inverses, Connections between field theory and logic, surreal numbers, Iteration theory, iterative and composite equations, tent map, Low-dimensional dynamical systems, 0101 mathematics, Topological dynamics, Iteration of real functions in one variable, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/1003905
https://doi.org/10.1006/aama.1996.0513
https://www.sciencedirect.com/science/article/pii/S0196885896905138
https://core.ac.uk/display/82118771
https://www.sciencedirect.com/science/article/abs/pii/S0196885896905138

How does one determine the rate of convergence of a sequence of iterations?

Autoři: P. G. Ovchinnikov

Zdroj: Mathematical Notes. 51:393-396

Témata: Iteration theory, iterative and composite equations, 0101 mathematics, Topological dynamics, sequence of iterations, Iteration of real functions in one variable, 01 natural sciences, asymptotic counter

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/484288
https://doi.org/10.1007/bf01250553
https://link.springer.com/content/pdf/10.1007/BF01250553.pdf
https://link.springer.com/article/10.1007/BF01250553

Berichtigung zur Arbeit 'Über die Iteration reeller Funktionen. II': Berichtigung zur Arbeit ''Über die Iteration reeller Funktionen. II''

Autoři: Barna, B.

Zdroj: Publicationes Mathematicae Debrecen. 20:281-282

Témata: General theory of functional equations and inequalities, 0101 mathematics, Iteration of real functions in one variable, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/3434195

Regular iteration of real and complex functions

Autoři: Szekeres, G.

Zdroj: Acta Math. 100, no. 3-4 (1958), 203-258

Témata: complex functions, Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable, Iteration of real functions in one variable

Popis souboru: application/xml; application/pdf

Přístupová URL adresa: http://projecteuclid.org/euclid.acta/1485889052
https://link.springer.com/article/10.1007/BF02559539
https://projecteuclid.org/download/pdf_1/euclid.acta/1485889052
https://projecteuclid.org/journals/acta-mathematica/volume-100/issue-3-4/Regular-iteration-of-real-and-complex-functions/10.1007/BF02559539.full
http://projecteuclid.org/euclid.acta/1485889052

Recent results on functional equations in a single variable, perspectives and open problems

Autoři: Baron, Karol Jarczyk, Witold

Zdroj: Aequationes Mathematicae. 61:1-48

Témata: iterative roots, Daroczy functional equations, research survey, Functional equations for complex functions, Set-valued functions, 01 natural sciences, Functional equations for real functions, Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives, Schilling functional equations, Feigenbaum functional equations, functional inequalities, Iteration theory, iterative and composite equations, 0101 mathematics, Iteration of real functions in one variable, Research exposition (monographs, survey articles) pertaining to difference and functional equations, Schröder functional equations, linear dilatation, set-valued functions, Abel functional equations, integrated Cauchy equation. inequalities, simultaneous and replicative equations, complex functions, Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.), iterative functional equations, Functional inequalities, including subadditivity, convexity, etc, real functions

Popis souboru: application/xml

Přístupová URL adresa: http://eretrandre.org/rb/files/Baron2001_99.pdf
https://zbmath.org/1594767
https://doi.org/10.1007/s000100050159
https://dialnet.unirioja.es/servlet/articulo?codigo=2199939
https://core.ac.uk/display/100194873
https://link.springer.com/article/10.1007/s000100050159

Sharkovskiĭ's theorem holds for some discontinuous functions

Autoři: Piotr Szuca

Zdroj: Fundamenta Mathematicae. 179:27-41

Témata: Classification of real functions, Baire classification of sets and functions, Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable, Sharkovskij's ordering, 4. Education, Darboux functions, Sharkovskǐ's ordering, periodic points, Itinerary Lemma, connectivity functions, iteration, 01 natural sciences, Borel measurable functions, Dynamical systems involving maps of the interval, Darboux Baire 1 functions, derivatives, Real-valued functions in general topology, derivatives, itinerary lemma, Baire 1 functions, 0101 mathematics, Iteration of real functions in one variable

Popis souboru: application/xml

Přístupová URL adresa: https://www.impan.pl/shop/publication/transaction/download/product/88639?download.pdf
https://www.impan.pl/pl/wydawnictwa/czasopisma-i-serie-wydawnicze/fundamenta-mathematicae/all/179/1/88639/sharkovskii-s-theorem-holds-for-some-discontinuous-functions
http://yadda.icm.edu.pl/yadda/element/bwmeta1.element.bwnjournal-article-doi-10_4064-fm179-1-3
http://journals.impan.pl/cgi-bin/doi?fm179-1-3

Stability of functional equations in single variable: Stability of functional equations in single variable.

Autoři: Bing Xu Ravi P. Agarwal Weinian Zhang

Zdroj: Journal of Mathematical Analysis and Applications. 288:852-869

Témata: Hyers–Ulam stability, Iterative stability, Applied Mathematics, functional equations, Stability, separation, extension, and related topics for functional equations, iteration, Böttcher's equation, 01 natural sciences, Functional equation, Functional equations for real functions, iterative stability, Iteration theory, iterative and composite equations, Hyers-Ulam stability, 0101 mathematics, Convergence, Iteration of real functions in one variable, Iteration, Analysis

Popis souboru: application/xml

Přístupová URL adresa: https://core.ac.uk/display/82229453
https://www.sciencedirect.com/science/article/abs/pii/S0022247X03007042
https://www.infona.pl/resource/bwmeta1.element.elsevier-b8a93101-72a5-364e-a568-1a01f394cb52?locale=pl
https://www.sciencedirect.com/science/article/pii/S0022247X03007042

On the structure of iteration groups of homeomorphisms having fixed points

Autoři: Marek Cezary Zdun

Zdroj: Aequationes Mathematicae. 55:199-216

Témata: iteration group, fixed points, Dynamics induced by flows and semiflows, homeomorphisms, Iteration theory, iterative and composite equations, structure, 0101 mathematics, Topological dynamics, Iteration of real functions in one variable, 01 natural sciences, continuous functions

Popis souboru: application/xml

Přístupová URL adresa: https://link.springer.com/article/10.1007/s000100050030