Variational measures and the Kurzweil-Henstock integral

Mathematica Slovaca

Volumn 59, Issue 6, 2009, Pages 731-752

  Schwabik, Štefan ^a  

^a INSTITUTE OF MATHEMATICS   (Czech Republic)

Author keywords

Kurzweil Henstock integral; Variational measure

Indexed keywords

EID: 71949102497     PISSN: 01399918     EISSN: 13372211     Source Type: Journal    
DOI: 10.2478/s12175-009-0160-1     Document Type: Article

References (10)

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2. V. Ene 2001 Thomson′s variational measure and nonabsolutely convergent integrals Real Anal. Exchange 26 35 49 1010.26008 1825496
3. GORDON, R. A.: The Integrals of Lebesgue, Denjoy, Perron and Henstock, Amer.Math. Soc., Providence, RI, 1994.
4. J. Jarník J. Kurzweil 1987 A general form of the product integral and linear ordinary differential equations Czechoslovak Math. J. 37 112 642 659 913996
5. KURZWEIL, J.: Nichtabsolut konvergente Integrale, BSB B. G. Teubner Verlagsgesellschaft, Leipzig, 1980.
6. LEE, P.-Y.: Lanzhou Lectures on Henstock Integration, World Scientific, Singapore, 1989.
7. LEE, P.-Y. VÝBORNÝ, R.: The Integral; An Easy Approach after Kurzweil and Henstock, Cambridge Univ. Press, Cambridge, 2000.
8. W. F. Pfeffer 1997 On variations of functions of one real variable Comment. Math. Univ. Carolin. 38 61 71 0888.26006 1455470
9. W. F. Pfeffer 1999 The Lebesgue and Denjoy-Perron integrals from a descriptive point of view Ricerche Mat. 48 211 223 0951.26005 1760817
10. THOMSON, B. S.: Derivates of Interval Functions. Mem. Amer. Math. Soc. 93, Amer. Math. Soc., Providence, RI, 1991.