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  1. TitleKurzweil - Henstock Integral in Riesz spaces
    Par.titleKurzweilov - Henstockov integrál v Rieszových priestoroch
    Author infoAntonio Boccuto, Beloslav Riečan, Marta Vrábelová
    Author Boccuto Antonio (34%)
    Co-authors Riečan Beloslav 1936-2018 (33%) UMBFP10 - Katedra matematiky
    Vrábelová Marta (33%)
    Issue dataUSA : Bentham Science Publishers , 2009. - 229 s.
    Issue[1. vyd.]
    ISBN978-1-60805-003-1
    Keywords Rieszov priestor   Kurzweil–Henstock integrál   Riesz spaces   Kurzweil–Henstock integral  
    LanguageEnglish
    CountryUnited States of America
    systematics 51
    AnnotationThis monograph is concerned with both the theory of the Kurzweil-Henstock integral and the basic facts on Riesz spaces. Moreover, even the so-called Šipoš integral, which has several applications in the economy, is illustrated. The aim of this book is two-fold. First, it can be understood as an introductory textbook to the Kurzweil-Henstock integral as well as to some algebraic structures which are important from the viewpoint of applications to integration and probability theory. Second, it discusses some possibilities of further developments including recent results and open problems
    Public work category AAA
    No. of Archival Copy17223
    Catal.org.BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici
    Databasexpca - PUBLIKAČNÁ ČINNOSŤ
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  2. TitleThe symmetric Choquet integral with respect to Riesz-space-valued capacities
    Author infoAntonio Boccuto, Beloslav Riečan
    Author Boccuto Antonio (50%)
    Co-authors Riečan Beloslav 1936-2018 (50%) UMBFP10 - Katedra matematiky
    Source document Czechoslovak mathematical journal. Vol. 58, no. 2 (2008), pp. 289-310. - Prague : Institute of mathematics, 2008
    Keywords Choquetov integrál   Rieszov priestor   Riesz space  
    LanguageEnglish
    CountryCzech Republic
    systematics 51
    Public work category ADE
    No. of Archival Copy27705
    Repercussion category KAWABE, J. The bounded convergence theorem for Riesz space-valued Choquet integrals. In Bulletin of the Malaysian mathematical sciences society. ISSN 0126-6705, 2012, vol. 35, no. 2 A, pp. 537-545.
    Catal.org.BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici
    Databasexpca - PUBLIKAČNÁ ČINNOSŤ
    ReferencesPERIODIKÁ-Súborný záznam periodika
  3. TitleSome properties of an improper GHk integral in Riesz spaces
    Par.titleNiektoré vlastnosti nevlastného GHk integrálu v Rieszových preistoroch
    Author infoAntonio Boccuto, Beloslav Riečan, Anna Rita Sambucini
    Author Boccuto Antonio (40%)
    Co-authors Riečan Beloslav 1936-2018 (30%) UMBFP10 - Katedra matematiky
    Sambucini Anna Rita (30%)
    Source documentIndian Journal of Mathematics. Roč. 50, č. 1 (2008), s. 21-51. - Allahabad : The Allahabad Mathematical Society, 2008
    Keywords nevlastný integrál   Rieszov priestor   Improper integral   Riesz space  
    LanguageEnglish
    CountryIndia
    systematics 51
    Public work category ADE
    No. of Archival Copy9964
    Catal.org.BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici
    Databasexpca - PUBLIKAČNÁ ČINNOSŤ
    unrecognised

    unrecognised

  4. TitleThe Kurzweil-Henstock integral for Riesz space-valued maps defined in abstract topological spaces and convergence theorems
    Author infoA. Boccuto, B. Riečan
    Author Boccuto Antonio (50%)
    Co-authors Riečan Beloslav 1936-2018 (50%)
    Source documentPanamerican Mathematical Journal. Vol. 16, no. 4 (2006), pp. 55-63. - Lincolnwood : International Publications, 2006
    Keywords Kurzweil–Henstock integral   Kurzweil–Henstock integrál   Riesz spaces   Rieszov priestor   convergence theorems  
    LanguageEnglish
    CountryUnited States of America
    systematics 51
    Public work category ADE
    No. of Archival Copy12713
    Repercussion categoryBOCCUTO, Antonio - CANDELORO, Domenico - SAMBUDCINI, Anna Rita. A note on set-valued Henstock–McShane integral in Banach (lattice) space setting. In arXiv: 1405.6530v2 [math.FA] [online]. New York : Cornell Univerisity Library, 2015 [cit. 2015-06-11]. Dostupné na: http://arxiv.org/abs/1405.6530
    Catal.org.BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici
    Databasexpca - PUBLIKAČNÁ ČINNOSŤ
  5. TitleOn the extension of Riesz space valued operators
    Par.titleVonkajšia miera a jej rozšírenie na Rieszov priestor
    Author infoAlžbeta Michalíková
    Author Michalíková Alžbeta 1979- (100%) UMBFP10 - Katedra matematiky
    Source document Journal of electrical engineering. Vol. 57, no. 7-8 (2006), pp. 89-91. - Bratislava : Elektrotechnická fakulta STU, 2006 ; ISCAM 2006 International conference in applied mathematics for undergraduate and graduate students medzinárodná konferencia
    Keywords vonkajšia miera   Rieszov priestor   rozšírenie miery   outer measure   Riesz spaces   extension of measure  
    LanguageEnglish
    CountrySlovak Republic
    systematics 51
    Public work category AFD
    No. of Archival Copy8058
    Catal.org.BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici
    Databasexpca - PUBLIKAČNÁ ČINNOSŤ
    ReferencesPERIODIKÁ-Súborný záznam periodika
  6. TitleA note on improper Kurzweil-Henstock integral in Riesz spaces
    Author infoAntonio Boccuto, Beloslav Riečan
    Author Boccuto Antonio UMBFP10 - Katedra matematiky
    Co-authors Riečan Beloslav 1936-2018 UMBFP10 - Katedra matematiky
    Source documentActa mathematica 5. S. 15-24. - Nitra : Constantine the Philosopher University
    NoteRes. angl., bibliogr. odkazy: s. 23-24
    Keywords Rieszov priestor   integrály - integrals  
    systematics 51
    Public work category AED
    Catal.org.BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici
    Databasexpca - PUBLIKAČNÁ ČINNOSŤ
    unrecognised

    unrecognised

  7. TitleOn the Choquet integral for Riesz space valued measure
    Author infoMiloslav Duchoň, Ján Haluška, Beloslav Riečan
    TitleSubtitle Translation : O Choquetovom integrále pre miery s hodnotami v Rieszovom priestore
    Author Duchoň Miloslav UMBFP10 - Katedra matematiky
    Co-authors Haluška Ján
    Riečan Beloslav 1936-2018 UMBFP10 - Katedra matematiky
    Source document Tatra Mountains mathematical publications. Vol. 19, no. 1 (2000), pp. 75-90. - Bratislava : Slovenská akadémia vied, 2000
    Keywords matematika - mathematics   matematická analýza - mathematical analysis   integrály - integrals   Rieszov priestor  
    systematics 517
    Public work category ADF
    Catal.org.BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici
    Databasexpca - PUBLIKAČNÁ ČINNOSŤ
    ReferencesPERIODIKÁ-Súborný záznam periodika
    unrecognised

    unrecognised



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