Abstract
The paper develops a method for the summation of a series of positive terms given by Gismalla et al. [2]. Here we are concerned with the summation of power series ∑ ∞ n = 1 μ n x n where μ n > 0 and 0 < x < 1, and x may be very close to 1 (but not equal to 1). Using ideas of Longman [4] we show how a bound can be obtained for the error when the process is curtailed at a particular stage. The method supposes that the coefficients in the summation are moments but, in practice, seems to work even when the coefficients are not identifiable as moments.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
