On the accuracy of the Chakrabarti-Hudson approximation to $\pi$
Mark B. Villarino
TL;DR
This paper rigorously analyzes the Chakrabarti-Hudson approximation of π by establishing precise upper and lower bounds for its error, thereby assessing its accuracy.
Contribution
It provides the first rigorous bounds on the error of the Chakrabarti-Hudson approximation for π, enhancing understanding of its precision.
Findings
Established rigorous upper bounds for the approximation error.
Established rigorous lower bounds for the approximation error.
Quantified the approximation's accuracy within specific bounds.
Abstract
We obtain rigorous upper and lower bounds for the error in the recent approximation for proposed by Chakrabarti and Hudson
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Taxonomy
TopicsMathematical functions and polynomials · Tensor decomposition and applications · Black Holes and Theoretical Physics