• East Asian mathematical journal
• /
• v.4
• /
• pp.129-137
• /
• 1988

• Journal of the Korean Mathematical Society
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• v.24 no.2
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• pp.169-178
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• 1987

• Journal of the Korean Mathematical Society
• /
• v.25 no.2
• /
• pp.175-198
• /
• 1988

• Journal of the Korean Mathematical Society
• /
• v.25 no.1
• /
• pp.133-148
• /
• 1988

• East Asian mathematical journal
• /
• v.10 no.1
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• pp.91-108
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• 1994

• Communications for Statistical Applications and Methods
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• v.2 no.2
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• pp.126-128
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• 1995

The eigenvalues of matrix behave asymptotically like the eigenvalues of Toeplitz matrix.

• East Asian mathematical journal
• /
• v.11 no.2
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• pp.207-221
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• 1995

• Bulletin of the Korean Mathematical Society
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• v.18 no.1
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• pp.1-2
• /
• 1981

• Journal of the Chungcheong Mathematical Society
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• v.19 no.1
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• pp.49-56
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• 2006

A convergence behavior is under investigation near a simple real zero for the k-fold pseudo-Olver's method defined by extending the classical Olver's method. The order of convergence is shown to be at least k+3. The asymptotic error constant is explicitly given in terms of k and the corresponding simple zero. Various numerical examples with a proposed zero-finding algorithm are successfully confirmed with the use of symbolic and computational ability of Mathematica.

• Journal of the Korean Society for Industrial and Applied Mathematics
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• v.12 no.3
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• pp.133-137
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• 2008

We prove an extended version of asymptotic behavior of the orthonormal cardinal refinable functions from Blaschke products introduced by Contronei et al [2]. In fact, we show the orthonormal cardinal refinable function ${\varphi}_{k,q}$ converges in $L^p(\mathbb{R})$ ($2{\leq}p{\leq}{\infty}$) to the Shannon refinable function as ${\kappa}{\rightarrow}{\infty}$ uniforml on a class $\mathcal{Q}_{A,B}$ of real symmetric polynomials determined by positive constants $A{\leq}B$.