Iterative theory of functions and solving of functional
equations of a single variable

D 2022

Iterative theory of functions and solving of functional equations of a single variable

BERÁNEK, Jaroslav

Basic information

Original name

Iterative theory of functions and solving of functional equations of a single variable

Authors

BERÁNEK, Jaroslav (203 Czech Republic, guarantor, belonging to the institution)

Edition

Brno, Mathematics, Information Technologies and Applied Sciences 2022 post-conference proceedings of extended versions of selected papers, p. 25-37, 13 pp. 2022

Publisher

Univerzita obrany, Brno

Other information

Language

English

Type of outcome

Proceedings paper

Field of Study

50301 Education, general; including training, pedagogy, didactics [and education systems]

Country of publisher

Czech Republic

Confidentiality degree

is not subject to a state or trade secret

Publication form

storage medium (CD, DVD, flash disk)

References:

URL

RIV identification code

RIV/00216224:14410/22:00127332

Organization unit

Faculty of Education

ISBN

978-80-7582-185-0

Keywords (in Czech)

Funkcionální rovnice; uzlový graf; iterační cyklus; konjugovanost

Keywords in English

Functional equation; vertex graph; iterative cycle; conjugacy

Abstract

In the original language

The article was created as the result of the research oriented at innovation of methods, content and forms of school teaching of mathematics in connection with improvement of university education of future teachers of mathematics. The aim of the article is to show how it is possible to introduce to students the problem of functional equations and the study of orbital structures of real functions connected with them. These orbital structures enable solving some types of functional equations of a single variable. Some of the problems shown in the article can be solved with the help of the computer programs, which can be used as the motivation for introducing programs MAPLE, DERIVE etc.

Cite

BERÁNEK, Jaroslav. Iterative theory of functions and solving of functional equations of a single variable. In Michal Novák, Miroslav Hrubý. Mathematics, Information Technologies and Applied Sciences 2022 post-conference proceedings of extended versions of selected papers. Brno: Univerzita obrany, Brno, 2022, p. 25-37. ISBN 978-80-7582-185-0.

@inproceedings{2236237,
   author = {Beránek, Jaroslav},
   address = {Brno},
   booktitle = {Mathematics, Information Technologies and Applied Sciences 2022 post-conference proceedings of extended versions of selected papers},
   editor = {Michal Novák, Miroslav Hrubý},
   keywords = {Functional equation; vertex graph; iterative cycle; conjugacy},
   howpublished = {paměťový nosič},
   language = {eng},
   location = {Brno},
   isbn = {978-80-7582-185-0},
   pages = {25-37},
   publisher = {Univerzita obrany, Brno},
   title = {Iterative theory of functions and solving of functional equations of a single variable},
   url = {https://mitav.unob.cz/data/MITAV2022.pdf},
   year = {2022}
}

TY  - CONF
ID  - 2236237
AU  - Beránek, Jaroslav
PY  - 2022
TI  - Iterative theory of functions and solving of functional equations of a single variable
PB  - Univerzita obrany, Brno
CY  - Brno
SN  - 9788075821850
KW  - Functional equation
KW  - vertex graph
KW  - iterative cycle
KW  - conjugacy
UR  - https://mitav.unob.cz/data/MITAV2022.pdf
N2  - The article was created as the result of the research oriented at innovation of methods, content and forms of school teaching of mathematics in connection with improvement of university education of future teachers of mathematics. The aim of the article is to show how it is possible to introduce to students the problem of functional equations and the study of orbital structures of real functions connected with them. These orbital structures enable solving some types of functional equations of a single variable. Some of the problems shown in the article can be solved with the help of the computer programs, which can be used as the motivation for introducing programs MAPLE, DERIVE etc.
ER  -

BERÁNEK, Jaroslav. Iterative theory of functions and solving of functional equations of a single variable. In Michal Novák, Miroslav Hrubý. \textit{Mathematics, Information Technologies and Applied Sciences 2022 post-conference proceedings of extended versions of selected papers}. Brno: Univerzita obrany, Brno, 2022, p.~25-37. ISBN~978-80-7582-185-0.

Přehled o publikaci