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Let E be an elliptic curve over the rationals. In 1988, Koblitz conjectured an asymptotic for the number of primes p for which the cardinality of the group of Fp-points of E is prime.However, the cons...
Let $p$ be an odd prime. In 2008 E. Mortenson proved van Hamme's following conjecture: $$\sum_{k=0}^{(p-1)/2}(4k+1)\binom(-1/2,k)^3=(-1)^{(p-1)/2}p (mod p^3).$$ In this paper we show further that $$\s...
A geometric refinement of a theorem of Chekanov
A geometric refinement theorem of Chekanov
2010/11/9
We prove a conjecture of Barraud and Cornea in the monotone setting, refining a result of Chekanov on the Hofer distance between two Hamiltonian isotopic Lagrangian submanifolds.
Dynamic Adaptive Mesh Refinement for Topology Optimization
Dynamic Adaptive Mesh Refinement Topology Optimization
2010/12/13
We present an improved method for topology optimization with both adaptive mesh refinement and
derefinement. Since the total volume fraction in topology optimization is usually modest, after a few in...
The Refinement and Reverse of a Geometric Inequality
Geometric inequality Best constant Triangle
2010/4/16
In this paper, we give a refinement and a reverse of a geometric inequality in a triangle posed by Jiang [2] by making use of the equivalent form of a fundamental inequality [6] and classic analysis.
Convergence Analysis of the Adaptive Finite Element Method with the Red-Green Refinement
Adaptive Finite Element Method Convergence Analysis Red-Green Refinement
2015/5/6
Abstract. In this paper, we analyze the convergence of the adaptive conforming P 1 element method with the red-green refinement. Since the mesh after refining is not nested into the one before, the Ga...
An Edge-based Anisotropic Mesh Refinement Algorithm and its Application to Interface Problems
Adaptive finite element method Anisotropic mesh refinement El- liptic interface problem Non-homogeneous jump A posteriori error estimate
2015/5/6
Based on an error estimate in terms of element edge vectors on arbitrary unstruc-tured simplex meshes, we propose a new edge-based anisotropic mesh refinement algorithm. As the mesh adaptation indicat...
A New Refinement of the Hermite-Hadamard Inequality for Convex Functions
Hermite-Hadamard inequality
2010/1/25
In this paper we establish a new refinement of the Hermite-Hadamard inequality for convex functions.
Vector refinement equations with infinitely supported masks
Refinement equations Infinite refinement mask Subdivision schemes Transition operator Biorthogonal multiple refinable functions
2018/4/20
In this paper we investigate the L2-solutions of vector refinement equations with exponentially decaying masks and a general dilation matrix. A vector refinement equation with a general dilation matri...
We discuss a refinement of an inequality from Information Theory using other well known inequalities. Then we consider relationships between the logarithmic mean and inequalities of the geometric-arit...
A Refinement of Hölder's Inequality and Applications
Inner product space Gram matrix Variable unit-vector Minkowski's inequality Fan Ky's inequality Hardy's inequality
2008/7/3
In this paper, it is shown that a refinement of Hölder's inequality can be established using the positive definiteness of the Gram matrix. As applications, some improvements on Minkowski's inequa...
A Refinement of Jensen's Inequality.
A Refinement of van der Corput's Inequality
Refinement van der Corput's inequality Harmonic number
2008/7/3
In this note, a refinement of van der Corput's inequality is given.
Another Refinement of Bernstein's Inequality
Bernstein's inequality Unit circle Convolution method
2008/7/3
Another Refinement of Bernstein's Inequality.
专著信息
书名
Characterization of smoothness of multivariate refinable functions and convergence algorithms of nonhomogeneous refinement equations
语种
英文
撰写或编译
作者
李松
第一作者单位
出版社
Advance in computational mathe...