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Computation of square root of a number using centroidal mean and its invariant
International Journal of Applied Research · 2023 · Vol. 9(8) · pp. 167–171
Harish A Lakshmi Janardhana RC✉(JSS Academy of Higher Education and Research)KM Nagaraja(JSS Academy of Higher Education and Research)
Abstract
In this article the invariant centroidal mean is introduced. A pair of double sequences in term of Centroidal mean and its invariant are defined discussed the properties monotonicity log-convexity and log-concavity. Finally as an illustration it is justified that the new Gaussian compound mean CT' ⊗ CT converging faster than Gaussian compound mean H ⊗ A. 2000 Mathematics Subject Classification. Primary 26D15.
Approximation Theory and Sequence SpacesStatistical and numerical algorithmsAerospace Engineering and Control SystemsMathematicsInvariant (physics)GaussianMonotonic functionRoot mean squareConvexityComputationSquare rootMean squared errorCombinatorics
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