Perron type integration on n -dimensional intervals as an extension of integration of stepfunctions by strong equiconvergence

Jaroslav Kurzweil; Jiří Jarník

Czechoslovak Mathematical Journal (1996)

  • Volume: 46, Issue: 1, page 1-20
  • ISSN: 0011-4642

How to cite

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Kurzweil, Jaroslav, and Jarník, Jiří. "Perron type integration on $n$-dimensional intervals as an extension of integration of stepfunctions by strong equiconvergence." Czechoslovak Mathematical Journal 46.1 (1996): 1-20. <http://eudml.org/doc/30283>.

@article{Kurzweil1996,
author = {Kurzweil, Jaroslav, Jarník, Jiří},
journal = {Czechoslovak Mathematical Journal},
keywords = {Perron integration; equiconvergence; Denjoy-Perron integral},
language = {eng},
number = {1},
pages = {1-20},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Perron type integration on $n$-dimensional intervals as an extension of integration of stepfunctions by strong equiconvergence},
url = {http://eudml.org/doc/30283},
volume = {46},
year = {1996},
}

TY - JOUR
AU - Kurzweil, Jaroslav
AU - Jarník, Jiří
TI - Perron type integration on $n$-dimensional intervals as an extension of integration of stepfunctions by strong equiconvergence
JO - Czechoslovak Mathematical Journal
PY - 1996
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 46
IS - 1
SP - 1
EP - 20
LA - eng
KW - Perron integration; equiconvergence; Denjoy-Perron integral
UR - http://eudml.org/doc/30283
ER -

References

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  1. A general convergence theorem for nonabsolute integrals, J. London Math. Soc. 44 (1991), 301–309. (1991) Zbl0746.26003MR1136442
  2. On the equivalence of two convergence theorems for the Henstock integral, Real Anal. Exchange 18 (1992/93), 261–266. (1992/93) MR1205521
  3. Perron-type integration on n -dimensional intervals and its properties, Czechosl. Math. J. 45 (1995), 79–106. (1995) MR1314532
  4. 10.1007/BF03323075, Results in Mathematik 21 (1992), 138–151. (1992) MR1146639DOI10.1007/BF03323075
  5. On Mawhin’s approach to multiple nonabsolutely convergent integrals, Čas. pěst. mat. 108 (1983), 356–380. (1983) MR0727536
  6. 10.1112/blms/17.6.557, Bull. London Math. Soc. 17 (1985), 557–564. (1985) MR0813739DOI10.1112/blms/17.6.557
  7. A Riesz-type definition of the Denjoy integral, Real Anal. Exchange 11 (1985/86), 221–227. (1985/86) MR0828492
  8. Integration, Princeton University Press, 1947. (1947) Zbl0033.05302MR0082536
  9. Vorlesungen über Funktionalanalysis, VEB Deutscher Verlag der Wissenschaften Berlin, 1956. (1956) MR0083695
  10. Functional Analysis, Springer-Verlag, Berlin-Göttingen-Heidelberg, 1965. (1965) Zbl0126.11504

Citations in EuDML Documents

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  1. Jiří Jarník, Jaroslav Kurzweil, Another Perron type integration in n dimensions as an extension of integration of stepfunctions
  2. Joo Bong Kim, Deok Ho Lee, Woo Youl Lee, Chun-Gil Park, Jae Myung Park, The s-Perron, sap-Perron and ap-McShane integrals
  3. Lee Tuo-Yeong, A full characterization of multipliers for the strong ρ -integral in the euclidean space
  4. Jae Myung Park, Jae Jung Oh, Chun-Gil Park, Deuk Ho Lee, The ap-Denjoy and ap-Henstock integrals
  5. Jiří Jarník, Štefan Schwabik, Milan Tvrdý, Ivo Vrkoč, Eighty years of Jaroslav Kurzweil

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