Remainder Term for an Alternating Series


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Authors

  • Kumari Sreeja S Nair Assistant Professor of Mathematics, Government Arts College, Thiruvananthapuram, Kerala, India
  • V. Madhukar Mallayya Former Professor and Head, Department of Mathematics, Mar Ivanios College, Thiruvananthapuram, Kerala, India

Keywords:

Correction function, error function, remainder term, Gregory series, rational approximation, infinite continued fraction, successive convergents

Abstract

In this paper we give a rational approximation to Gregory series, by applying a correction function to the series. The introduction of correction function certainly improves the value of sum of the series and gives a better approximation to it. We also show that the correction function follows an infinite continued fraction.

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Published

15-03-2017

How to Cite

Kumari Sreeja S Nair, & V. Madhukar Mallayya. (2017). Remainder Term for an Alternating Series. International Journal of Mathematics And Its Applications, 5(1 - C), 395–396. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/788

Issue

Vol. 5 No. 1 - C (2017)

Section

Research Article

License

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