Results 21 to 30 of about 546 (161)
Hermite and Hermite–Fejér interpolation for Stieltjes polynomials [PDF]
Mathematics of Computation, 2005 Let w λ ( x ) := ( 1 − x 2 ) λ − 1 / 2 w_{\lambda }(x):=(1-x^2)^{\lambda -1/2} and
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Matrix expression of hermite interpolation polynomials
Computers & Mathematics with Applications, 1997 Matrix expression of the Hermite interpolation polynomials are constructed, in the form \(H(x)= \sum^n_{i=0} \sum^{d_i}_{k=0} h_{ik} (x){f^{(k)} (x_i) \over k!}\), satisfying the conditions \(H^{(\ell)} (x_j)= f^{(\ell)} (x_j)\), \(j=0, \dots,n\); \(\ell=0, \dots d_j\) where \(f\in C^d [a,b]\), \(a\leq ...
Kida, S., Trimandalawati, E., Ogawa, S.
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Higher-Order Hermite-Fejér Interpolation for Stieltjes Polynomials [PDF]
Journal of Applied Mathematics, 2013 Summary: Let \(w_\lambda(x):=(1-x^2)^{\lambda-1/2}\) and \(P_{\lambda,n}\) be the ultraspherical polynomials with respect to \(w_{\lambda}(x)\). Then, we denote the Stieltjes polynomials \(E_{\lambda,n+1}\) with respect to \(w_{\lambda}(x)\) satisfying \(\int_{-1}^1w_{\lambda}(x) P_{\lambda,n}(x)E_{\lambda,n+1}(x) x^m dx (=0, 0\leq m< n+1;\neq 0,m=n+1)\
Jung, Hee Sun, Sakai, Ryozi
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An Improved Empirical Wavelet Transform for Noisy and Non-Stationary Signal Processing
IEEE Access, 2020 Empirical wavelet transform (EWT) has become an effective tool for signal processing. However, its sensitivity to noise may bring side effects on the analysis of some noisy and non-stationary signals, especially for the signal which contains the close ...
Cuifang Zhuang, Ping Liao
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Fitting Rainfall Data by Using Cubic Spline Interpolation
MATEC Web of Conferences, 2018 This study discusses the application of two cubic spline i.e. natural and not-a-knot end boundary conditions to visualize and predict the rainfall data. The interpolation and the analysis of the rainfall data will be done on a monthly basis by using the ...
Azizan Irham +2 more
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Advances in Mechanical Engineering, 2020 This paper presents the construction of the two-point and three-point block methods with additional derivatives for directly solving y ″ ′ = f ( t , y , y ′ y ″ ) .
Mohammed Yousif Turki +3 more
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ON HERMITE INTERPOLATION AND DIVIDED DIFFERENCES [PDF]
Surveys in Mathematics and its Applications, 2020 This paper is a survey of topics related to Hermite interpolation. In the first part we present the standard analysis of the Hermite interpolation problem. Existence, uniqueness and error formula are included.
François Dubeau
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Wind Velocity Data Interpolation Using Rational Cubic Spline
MATEC Web of Conferences, 2018 Wind velocity data is always having positive value and the minimum value approximately close to zero. The standard cubic spline interpolation (not-a-knot and natural) as well as cubic Hermite polynomial may be produces interpolating curve with negative ...
Karim Samsul Ariffin Bin Abdul +1 more
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New bounds for Shannon, Relative and Mandelbrot entropies via Hermite interpolating polynomial
Demonstratio Mathematica, 2018 To procure inequalities for divergences between probability distributions, Jensen’s inequality is the key to success. Shannon, Relative and Zipf-Mandelbrot entropies have many applications in many applied sciences, such as, in information theory, biology
Mehmood Nasir +3 more
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On Convergence of Hermite-Fejér Interpolation Polynomials
Journal of Approximation Theory, 1995 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Knoop, H.B., Zhou, X.L.
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