Results 11 to 20 of about 4,323 (242)
Karpatsʹkì Matematičnì Publìkacìï, 2020 In this paper, block pulse functions and hybrid Legendre polynomials are introduced. The estimators of a function $f$ having first and second derivative belonging to $Lip_\alpha[a,b]$ class, $0 < \alpha \leq 1$, and $a$, $b$ are finite real numbers, by ...
S. Lal, V.K. Sharma
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Lactation curve modelling using Legendre Polynomial in Sahiwal cattle
Indian Journal of Animal Sciences, 2016 Present study aimed at modelling lactation curve in Sahiwal cattle using normalized Legendre polynomials functions of standardized units of time and understanding the variation of lactation curve in different lactations. Among the first three lactations,
VED PRAKASH +3 more
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Journal of Mathematics, 2022 In this paper, we extend the operational matrix method to solve the tempered fractional differential equation, via shifted Legendre polynomial. Although the operational matrix method is widely used in solving various fractional calculus problems, it is ...
Abiodun Ezekiel Owoyemi +2 more
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Generalized Legendre Polynomials
Journal of Mathematical Analysis and Applications, 1993 Let \((\lambda_ n)_{n\in\mathbb{N}}\) be a sequence of distinct real numbers with \(\lambda_ n>-1/2\). The authors orthogonalize the functions \(\{x^{\lambda_ 1},x^{\lambda_ 2},\dots\}\) with respect to the inner product \(\langle f,g\rangle:=\int_ 0^ 1 f(x)g(x)dx\) by using Gram-Schmidt-orthogonalization.
Mccarthy, P.C. +2 more
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Numerical solution of sixth-order boundary-value problems using Legendre wavelet collocation method
Results in Physics, 2018 An efficient method is proposed to approximate sixth order boundary value problems. The proposed method is based on Legendre wavelet in which Legendre polynomial is used.
Muhammad Sohaib +3 more
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Advances in Meteorology, 2017 Chebyshev and Legendre polynomial expansion is used to reconstruct the Henyey-Greenstein phase function and the phase functions of spherical and nonspherical particles.
Feng Zhang +4 more
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On the interval Legendre polynomials
Journal of Computational and Applied Mathematics, 2003 This paper deals with the extension of the classical Legendre polynomials to the interval theory by considering the family of interval polynomials \(\mathbb L_{n,k}(x) \) satisfying, for each natural number \(k\), the recursive formula \(\mathbb L_{0,k}(x)=[1-\frac 1k,1+\frac 1k]\), \(\mathbb L_{1,k}(x)=[1-\frac 1k,1+\frac 1k]x\), \(\mathbb L_{n+1,k}(x)
Patrı́cio, F. +2 more
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Genetic evaluation of European quails by random regression models
Revista Brasileira de Zootecnia, 2012 The objective of this study was to compare different random regression models, defined from different classes of heterogeneity of variance combined with different Legendre polynomial orders for the estimate of (co)variance of quails.
Flaviana Miranda Gonçalves +5 more
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On computation of Hough functions [PDF]
Geoscientific Model Development, 2016 Hough functions are the eigenfunctions of the Laplace tidal equation governing fluid motion on a rotating sphere with a resting basic state. Several numerical methods have been used in the past.
H. Wang, J. P. Boyd, R. A. Akmaev
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Rocky Mountain Journal of Mathematics, 2010 We introduce a new class of polynomials $\{P_{n}\}$, that we call polar Legendre polynomials, they appear as solutions of an inverse Gauss problem of equilibrium position of a field of forces with $n+1$ unit masses. We study algebraic, differential and asymptotic properties of this class of polynomials, that are simultaneously orthogonal with respect ...
Cabrera, H. Pijeira +2 more
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