Results 51 to 59 of about 302 (59)

Simply Explicitly Invertible Approximations to 4 Decimals of Error Function and Normal Cumulative Distribution Function [PDF]

arXiv, 2012
We improve the Modified Winitzki's Approximation of the error function $erf(x)\cong \sqrt{1-e^{-x^2\frac{\frac{4}{\pi}+0.147x^2}{1+0.147x^2}}}$ which has error $|\varepsilon (x)| < 1.25 \cdot 10^{-4}$ $\forall x \ge 0$ till reaching 4 decimals of precision with $|\varepsilon (x)| < 2.27 \cdot 10^{-5}$; also reducing slightly the relative error.
arxiv  

Monotone and fast computation of Euler's constant. [PDF]

J Inequal Appl, 2017
Adell JA, Lekuona A.
europepmc   +1 more source

An accurate approximation of zeta-generalized-Euler-constant functions

Open Mathematics, 2010
Lampret Vito
doaj   +1 more source

Asymptotic analysis of the SIR model. Applications to COVID-19 modelling

, 2021
Prodanov D.
europepmc   +1 more source

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A Fast Algorithm for the Caputo Fractional Derivative

East Asian Journal on Applied Mathematics, 2018
A fast algorithm with almost optimal memory for the computation of Caputo’s fractional derivative is developed. It is based on a nonuniform splitting of the time interval [0, tn] and a polynomial approximation of the kernel function (1 − τ) −α.
Kun Huang
semanticscholar   +1 more source

Very simply explicitly invertible approximations of normal cumulative and normal quantile function

, 2014
For the normal cumulative distribution function: Φ(x) we give the new approximation 2**(-22**(1-41**(x/10))) for any x>0, which is very simple (with only integer constants and operations and / and power elevation **) and is very simply explicitly ...
A. Soranzo, E. Epure
semanticscholar   +1 more source

On asymptotic estimations of the q-pochhammer symbols at q=1

, 2013
Watson provided an asymptotic estimation of the Euler function (q; q)∞ when q → 1−. In this short note we reprove and extend his results using Gosper’s q-trigonometric functions.
I. Mező
semanticscholar   +1 more source

Summation Processes and Gaussian Quadratures

Sarajevo Journal of Mathematics
In this survey paper we present two classes of summation procedures based on ideas related to Gaussian quadratures. Such summation/integration procedures can be applied to the summation of slowly convergent series.
G. Milovanović
semanticscholar   +1 more source