Study of Henstock-Kurzweil integrals

  IJMTT-book-cover
 
International Journal of Mathematics Trends and Technology (IJMTT)
 
© 2015 by IJMTT Journal
Volume-19 Number-2
Year of Publication : 2015
Authors : Khinal Parmar
  10.14445/22315373/IJMTT-V19P517

MLA

Khinal Parmar"Study of Henstock-Kurzweil integrals", International Journal of Mathematics Trends and Technology (IJMTT). V19(2):130-135 March 2015. ISSN:2231-5373. www.ijmttjournal.org. Published by Seventh Sense Research Group.

Abstract
In this paper a brief introduction to Henstock-Kurzweil integrals is given based on previous studies. This paper explains about definition and some properties of Henstock-Kurzweil integral. Henstock-Kurzweil integral is generalized from Riemann integral. The theory of the Riemann integral was not fully satisfactory. Many important functions do not have Riemann integral. So, Henstock and Kurzweil made the new theory of integral.

References
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[2] Katz V.,A History of Mathematics: An Introduction, 3rd edition, Addison-Wesley Higher Mathematics.
[3] Lee Tuo Yeong,Henstock-Kurzweil Integration on Euclidean Spaces, World Scientific Publishing Co Pte Ltd.
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[5] Lang Searge,Analysis I, Addison-Wesley Publishing Company, New York.
[6] Lee Peng Yee,Lanzhou Lectures on Henstock Integration, World Scientific Publishing Co Pte Ltd.
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[9] Anil Pedgaonkar, Fundamental theorem of calculus for Henstock -Kurzweil integral, Bulletin of the Marathwada Mathematical Society Vol. 14, No. 1, June 2013, Pages 71-80.
[10] Jonathan Wells, Generalizations of the Riemann Integral: An Investigation of the Henstock Integral

Keywords
gauge, "δ" - fine partition, Henstock-Kurzweil integral