Results 1 to 10 of about 12,121,362 (308)
Generalized Legendre Transforms Have Roots in Information Geometry [PDF]
EntropyArtstein-Avidan and Milman [Annals of mathematics (2009), (169):661–674] characterized invertible reverse-ordering transforms in the space of lower, semi-continuous, extended, real-valued convex functions as affine deformations of the ordinary Legendre ...
Frank Nielsen
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Couple of the variational iteration method and fractional-order Legendre functions method for fractional differential equations. [PDF]
ScientificWorldJournal, 2014 We present a new numerical method to get the approximate solutions of fractional differential equations. A new operational matrix of integration for fractional-order Legendre functions (FLFs) is first derived.
Yin F, Song J, Leng H, Lu F.
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About the Legendre type operators [PDF]
E3S Web of Conferences, 2021 The article considers Legendre type operators acting in the corresponding weight separable Hilbert spaces. The choice of these spaces is due to the fact that these operators preserve all properties of the Legendre operator acting on L2 (-1,1).
Maleko Evgeny
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Journal of Computational and Applied Mathematics, 2020 In this paper, a new set of functions called fractional alternative Legendre is defined for solving nonlinear fractional integro-differential equations. The concept of the fractional derivative in this problem is in the Caputo sense. To solve the problem,
P. Rahimkhani, Y. Ordokhani
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Advances in Difference Equations, 2020 In this paper, we present a numerical simulation to study a fractional-order differential system of a glioblastoma multiforme and immune system.
M. M. Al-Shomrani, M. A. Abdelkawy
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New Error Bounds for Legendre Approximations of Differentiable Functions [PDF]
Journal of Fourier Analysis and Applications, 2021 In this paper we present a new perspective on error analysis for Legendre approximations of differentiable functions. We start by introducing a sequence of Legendre–Gauss–Lobatto polynomials and prove their theoretical properties, including an explicit ...
Haiyong Wang
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An algorithm for the numerical evaluation of the associated Legendre functions that runs in time independent of degree and order [PDF]
Journal of Computational Physics, 2017 We describe a method for the numerical evaluation of normalized versions of the associated Legendre functions P ν − μ and Q ν − μ of degrees 0 ≤ ν ≤ 1 , 000 , 000 and orders − ν ≤ μ ≤ ν for arguments in the interval ( − 1 , 1 ) .
J. Bremer
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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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Communications, 2010 In applications of mathematics involving either the Laplace or the Helmholtz equation in spherical coordinates the associated Legendre equation occurs. Its solutions are called associated Legendre functions. They have some relations to classical Legendre
Vladimir Guldan, Mariana Marcokova
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K3 mirror symmetry, Legendre family and Deligne's conjecture for the Fermat quartic
Nuclear Physics B, 2021 In this paper, we will study the connections between the mirror symmetry of K3 surfaces and the geometry of the Legendre family of elliptic curves. We will prove that the mirror map of the Dwork family is equal to the period map of the Legendre family ...
Wenzhe Yang
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