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Multimedia tools and applications, 2021
Pabitra Pal, Biswapati Jana, J. Bhaumik
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Pabitra Pal, Biswapati Jana, J. Bhaumik
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Approximation Constants in Equidistant Lagrange Interpolation
Periodica Mathematica Hungarica, 2000In a previous paper [Arch. Math. 74, 385-391 (2000; Zbl 0962.41001)] the author established estimations from below and from above for \(L_n(|x|^\alpha,0)\), \(n=2m-1\), \(m\in N\), \(0\leq\alpha\leq 1\). He proved the double inequality \[ \frac 2{\pi}\frac 1{n^{\alpha}}\leq L_n(|x|^\alpha,0) \leq \frac 1{n^{\alpha}}, \] where both constants \(2/\pi ...
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On simultaneous approximation by lagrange interpolating polynomials
Approximation Theory and its Applications, 1998This paper gives an estimation of the rate of convergence of modified Lagrange interpolation.
Xie, T. F., Zhou, S. P.
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The International Journal of Advanced Manufacturing Technology, 2021
Yan Xia +4 more
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Yan Xia +4 more
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Journal of Applied Mathematics and Computation, 2021
Yangfang Deng, Zhifeng Weng
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Yangfang Deng, Zhifeng Weng
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Lagrange Interpolation for Upsampling
International Journal of Multimedia and Ubiquitous Engineering, 2015In this paper, we compare well known interpolation methods such as nearest neighbor, bilinear, bicubic, triangle kernel, and Lagrangian interpolation method. Reconstruction errors from above interpolation methods are compared using test image. From the simulation results, it can be found that Lagrangian method outperforms all other upsampling methods ...
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The International Journal of Advanced Manufacturing Technology, 2019
V. Alimirzaloo +4 more
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V. Alimirzaloo +4 more
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