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A Note On the Accuracy of Ramanujan's Approximative Formula for the Perimeter of an Ellipse
Ramanujan's approximative formula Best constants Elliptic functions and integrals
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2008/7/3
We present a detailed error analysis, with best possible constants, of Ramanujan's most accurate approximation to the perimeter of an ellipse.
Coverage Accuracy of Confidence Intervals in Nonparametric Regression
confidence interval empirical likelihood
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2007/12/11
Point-wise confidence intervals for a nonparametric regression function with random design points are considered. The confidence intervals are those based on the traditional normal approximation and t...
HIGH ACCURACY ANALYSIS OF ELLIPTIC EIGENVALUE PROBLEM FOR THE WILSON NONCONFORMING FINITE ELEMENT
Eigenvalue problems high accu
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2007/12/10
In this paper, the Wilson nonconforming finite element is considered for solving elliptic eigenvalue problems. Based on an interpolation postprocessing, superconvergence estimates of both eigenfuncti...