Estimates of the remainder in Taylor's theorem using the Henstock-Kurzweil integral

Czechoslovak Mathematical Journal

Volumn 55, Issue 4, 2005, Pages 933-940

  Talvila, Erik ^a,b  

^a University College of the Fraser Valley ^*

^b UNIVERSITY OF THE FRASER VALLEY   (Canada)

Author keywords

Alexiewicz norm; Henstock Kurzweil integral; Taylor's theorem

Indexed keywords

EID: 27844606983     PISSN: 00114642     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10587-005-0077-y     Document Type: Article

References (8)

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4. S. Saks: Theory of the Integral. Monografie Matematyczne, Warsaw, 1937.
5. C. Swartz: Introduction to Gauge Integrals. World Scientific, Singapore, 2001.
6. H. B. Thompson: Taylor's theorem using the generalized Riemann integral. Amer. Math. Monthly 96 (1989), 346-350.
7. R. Výborný: Some applications of Kurzweil-Henstock integration. Math. Bohem. 118 (1993), 425-441.
8. W. H. Young: The Fundamental Theorems of the Differential Calculus. Cambridge University Press, Cambridge, 1910.