# Nonabsolutely convergent series

Mathematica Bohemica (1991)

- Volume: 116, Issue: 3, page 248-267
- ISSN: 0862-7959

## Access Full Article

top## Abstract

top## How to cite

topFraňková, Dana. "Nonabsolutely convergent series." Mathematica Bohemica 116.3 (1991): 248-267. <http://eudml.org/doc/29329>.

@article{Fraňková1991,

abstract = {Assume that for any $t$ from an interval $[a,b]$ a real number $u(t)$ is given. Summarizing all these numbers $u(t)$ is no problem in case of an absolutely convergent series $\sum _\{t\in [a,b]\}u(t)$. The paper gives a rule how to summarize a series of this type which is not absolutely convergent, using a theory of generalized Perron (or Kurzweil) integral.},

author = {Fraňková, Dana},

journal = {Mathematica Bohemica},

keywords = {nonabsolutely convergent series; generalized Perron integral; nonabsolutely convergent series; generalized Perron integral},

language = {eng},

number = {3},

pages = {248-267},

publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},

title = {Nonabsolutely convergent series},

url = {http://eudml.org/doc/29329},

volume = {116},

year = {1991},

}

TY - JOUR

AU - Fraňková, Dana

TI - Nonabsolutely convergent series

JO - Mathematica Bohemica

PY - 1991

PB - Institute of Mathematics, Academy of Sciences of the Czech Republic

VL - 116

IS - 3

SP - 248

EP - 267

AB - Assume that for any $t$ from an interval $[a,b]$ a real number $u(t)$ is given. Summarizing all these numbers $u(t)$ is no problem in case of an absolutely convergent series $\sum _{t\in [a,b]}u(t)$. The paper gives a rule how to summarize a series of this type which is not absolutely convergent, using a theory of generalized Perron (or Kurzweil) integral.

LA - eng

KW - nonabsolutely convergent series; generalized Perron integral; nonabsolutely convergent series; generalized Perron integral

UR - http://eudml.org/doc/29329

ER -

## References

top- J. Kurzweil, Generalized ordinary differential equations and continuous dependence on a pararaeter, Czech. Math. Ј. 7 (82) (1957), 418-449. (1957)
- Š. Schwabik, Generalized differential equations: Fundamental results, Rozpгavy ČSAV (95) (1985), No. 6. (1985) Zbl0594.34002

## NotesEmbed ?

topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.