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In this manuscript, a novel approach is proposed for the approximation of alternating series J*(a,b) =sum_{n=1}^{infty }frac{left ( -1
ight )^{n+1}}{an-b} , where a,bin R with a
eq 0 by using a correction function. This method entails the construction of a correction function that captures the difference between the actual series and its intended approximation. By the incorporation of this correction function into the approximation process, an effort is made to enhance the accuracy and convergence of the alternating series.
"Acceleration of A Generalized Alternating Series", International Journal of Science & Engineering Development Research (www.ijrti.org), ISSN:2455-2631, Vol.10, Issue 10, page no.b241-b245, October-2025, Available :http://www.ijrti.org/papers/IJRTI2510129.pdf
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2456-3315 | IMPACT FACTOR: 8.14 Calculated By Google Scholar| ESTD YEAR: 2016
An International Scholarly Open Access Journal, Peer-Reviewed, Refereed Journal Impact Factor 8.14 Calculate by Google Scholar and Semantic Scholar | AI-Powered Research Tool, Multidisciplinary, Monthly, Multilanguage Journal Indexing in All Major Database & Metadata, Citation Generator