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Creator:
Schwabik, Štefan
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
integration by parts , Kurzweil-Stieltjes integral , and Perron-Stieltjes integral
Language:
English
Description:
Integration by parts results concerning Stieltjes integrals for functions with values in Banach spaces are presented. The background of the theory is the Kurzweil approach to integration based on Riemann type integral sums, which leads to the Perron integral.
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public
Creator:
Schwabik, Štefan
Format:
bez média and svazek
Type:
model:article and TEXT
Language:
English
Description:
Autor recenze: Štefan Schwabik
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public
Creator:
Schwabik, Štefan
Format:
bez média and svazek
Type:
model:article and TEXT
Language:
English
Description:
Autor recenze: Štefan Schwabik
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public
Creator:
Schwabik, Štefan
Format:
bez média and svazek
Type:
model:article and TEXT
Language:
English
Description:
Autor recenze: Štefan Schwabik
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public
Creator:
Schwabik, Štefan
Format:
bez média and svazek
Type:
model:article and TEXT
Language:
English
Description:
Autor recenze: Štefan Schwabik
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public
Creator:
Schwabik, Štefan
Format:
bez média and svazek
Type:
model:article and TEXT
Language:
English
Description:
Autor recenze: Štefan Schwabik
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public
Creator:
Schwabik, Štefan
Format:
bez média and svazek
Type:
model:article and TEXT
Language:
English
Description:
Autor recenze: Štefan Schwabik
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public
Creator:
Schwabik, Štefan
Format:
bez média and svazek
Type:
model:article and TEXT
Language:
English
Description:
Autor recenze: Štefan Schwabik
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public
Creator:
Schwabik, Štefan
Format:
bez média and svazek
Type:
model:article and TEXT
Language:
English
Description:
Autor recenze: Štefan Schwabik
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public
Creator:
Schwabik, Štefan
Format:
bez média and svazek
Type:
model:article and TEXT
Language:
English
Description:
Autor recenze: Štefan Schwabik
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public
Creator:
Schwabik, Štefan
Format:
bez média and svazek
Type:
model:article and TEXT
Language:
English
Description:
Autor rcenze: Štefan Schwabik
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public
Creator:
Schwabik, Štefan
Format:
bez média and svazek
Type:
model:article and TEXT
Language:
English
Description:
Autor recenze: Štefan Schwabik
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public
Creator:
Schwabik, Štefan
Format:
bez média and svazek
Type:
model:article and TEXT
Language:
English
Description:
Autor recenze: Štefan Schwabik
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public
Creator:
Jarník, Jiří , Schwabik, Štefan , Tvrdý, Milan , and Vrkoč, Ivo
Format:
bez média and svazek
Type:
model:article and TEXT
Language:
English
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public
Creator:
Schwabik, Štefan
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
abstract integration , extension of integral , and Kurzweil-Henstock integration
Language:
English
Description:
A general concept of integral is presented in the form given by S. Saks in his famous book Theory of the Integral. A special subclass of integrals is introduced in such a way that the classical integrals (Newton, Riemann, Lebesgue, Perron, Kurzweil-Henstock\dots ) belong to it. \endgraf A general approach to extensions is presented. The Cauchy and Harnack extensions are introduced for general integrals. The general results give, as a specimen, the Kurzweil-Henstock integration in the form of the extension of the Lebesgue integral.
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public
Creator:
Schwabik, Štefan
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
abstract integration , extension of integral , and Kurzweil-Henstock integration
Language:
English
Description:
This work is a continuation of the paper (Š. Schwabik: General integration and extensions I, Czechoslovak Math.\ J. 60 (2010), 961--981). Two new general extensions are introduced and studied in the class $\frak T$ of general integrals. The new extensions lead to approximate description of the Kurzweil-Henstock integral based on the Lebesgue integral close to the results of S. Nakanishi presented in the paper (S. Nakanishi: A new definition of the Denjoy's special integral by the method of successive approximation, Math.\ Jap. 41 (1995), 217--230).
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public
Creator:
Schwabik, Štefan
Format:
bez média and svazek
Type:
model:article and TEXT
Language:
English
Description:
Autor recenze: Štefan Schwabik
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public
Creator:
Schwabik, Štefan
Format:
bez média and svazek
Type:
model:article and TEXT
Language:
English
Description:
Autor recenze: Štefan Schwabik
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public
Creator:
Schwabik, Štefan
Format:
bez média and svazek
Type:
model:article and TEXT
Language:
English
Description:
Autor recenze: Štefan Schwabik
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public
Creator:
Schwabik, Štefan
Format:
bez média and svazek
Type:
model:article and TEXT
Language:
English
Description:
Autor recenze: Štefan Schwabik
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public