Estimates of the Remainder in Taylor's Theorem Using the Henstock-Kurzweil Integral

DOI10.1007/s10587-005-0077-yzbMath1081.26002arXivmath/0406372OpenAlexW1997544413MaRDI QIDQ3366772

Erik O.Talvila

Publication date: 14 February 2006

Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0406372

zbMATH Keywords

Henstock-Kurzweil integralTaylor theoremAlexiewicz norm

Mathematics Subject Classification ID

Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems (26A24) Denjoy and Perron integrals, other special integrals (26A39)

Related Items (3)

A generalised continuous primitive integral and some of its applications ⋮ Unnamed Item ⋮ Two convergence theorems for Henstock-Kurzweil integrals and their applications to multiple trigonometric series

Cites Work

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• Remainder Estimates in Taylor's Theorem
• Some applications of Kurzweil-Henstock integration
• Taylor's Theorem Using the Generalized Riemann Integral
• On some estimates of the remainder in Taylor's formula

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