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Best Simultaneous Diophantine Approximations under a Constraint on the Denominator [PDF]
, 2005 We investigate the problem of best simultaneous Diophantine approximation under a constraint on the denominator, as proposed by Jurkat. New lower estimates for optimal approximation constants are given in terms of critical determinants of suitable star ...
Aliev, Iskander, Gruber, Peter
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On Approximation constants for Liouville numbers [PDF]
, 2015 We investigate some Diophantine approximation constants related to the simultaneous approximation of $(\zeta,\zeta^{2},\ldots,\zeta^{k})$ for Liouville numbers $\zeta$. For a certain class of Liouville numbers including the famous representative $\sum_{n\
Jarník +7 more
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Unconventional height functions in simultaneous Diophantine approximation [PDF]
, 2016 Simultaneous Diophantine approximation is concerned with the approximation of a point $\mathbf x\in\mathbb R^d$ by points $\mathbf r\in\mathbb Q^d$, with a view towards jointly minimizing the quantities $\|\mathbf x - \mathbf r\|$ and $H(\mathbf r ...
Fishman, Lior, Simmons, David
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Simultaneous diophantine approximation [PDF]
Bulletin of the Australian Mathematical Society, 1972 AbstractUsing a method suggested by E. S. Barnes, it is shown that the simultaneous inequalities r(p — αr)2 < c, r(q — βr)2 < c have an infinity of integral solutions p, q, r (with r > 0), for arbitrary irrationals α and β, provided that c > 1/2.6394.
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Algorithms for Simultaneous Padé Approximations [PDF]
Proceedings of the ACM on International Symposium on Symbolic and Algebraic Computation, 2016 ISSAC ...
Johan Sebastian Rosenkilde +1 more
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New Generalization of -Best Simultaneous Approximation in Topological Vector Spaces
Abstract and Applied Analysis, 2013 Let be a nonempty subset of a Hausdorff topological vector space , and let be a real-valued continuous function on . If for each , there exists such that , then is called -simultaneously proximal and is called -best simultaneous approximation for ...
Mahmoud Rawashdeh, Sarah Khalil
doaj +1 more source
The Auxiliary Mass Method beyond the Local Potential Approximation [PDF]
, 1999 We show that the evolution equation of the effective potential in the auxiliary mass method corresponds to a leading approximation of a certain series. This series is derived from an evolution equation of an effective action using a derivative expansion.
Aoki +36 more
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Simultaneous approximation by greedy algorithms [PDF]
Advances in Computational Mathematics, 2006 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dany Leviatan, Vladimir N. Temlyakov
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Optimal Simultaneous Approximation via 𝒜-Summability
Abstract and Applied Analysis, 2013 We present optimal convergence results for the mth derivative of a function by sequences of linear operators. The usual convergence is replaced by 𝒜-summability, with 𝒜 being a sequence of infinite matrices with nonnegative real entries, and the ...
Francisco Aguilera +2 more
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Fuzzy Best Simultaneous Approximation of a Finite Numbers of Functions [PDF]
Sahand Communications in Mathematical Analysis, 2019 Fuzzy best simultaneous approximation of a finite number of functions is considered. For this purpose, a fuzzy norm on $Cleft (X, Y right )$ and its fuzzy dual space and also the set of subgradients of a fuzzy norm are introduced.
Hossain Alizadeh Nazarkandi
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