Results 11 to 20 of about 429,249 (270)
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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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
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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 Diophantine approximation
Duke Mathematical Journal, 1946 The simplest problems of Diophantine approximation relate to the approximation of a single irrational number 0 by rational numbers pjq, and the principal question is how small we can make the error 0 — pjq in relation to q for infinitely many approximations. It is well known that this question can be answered almost completely in terms of the continued
Davenport, H., Mahler, K.
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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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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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Algorithms for Simultaneous Padé Approximations [PDF]
Proceedings of the ACM on International Symposium on Symbolic and Algebraic Computation, 2016 ISSAC ...
Nielsen, Johan S. R., Storjohann, Arne
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Simultaneous approximation for the Phillips operators
International Journal of Mathematics and Mathematical Sciences, 2006 We study the simultaneous approximation properties of the well-known Phillips operators. We establish the rate of convergence of the Phillips operators in simultaneous approximation by means of the decomposition technique for functions of bounded ...
N. K. Govil +2 more
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A Modification of the Mixed Joint Universality Theorem for a Class of Zeta Functions
Mathematics, 2022 The property of zeta functions on mixed joint universality in the Voronin’s sense states that any two holomorphic functions can be approximated simultaneously with an accuracy of ε>0 by suitable vertical shifts of the pair consisting the Riemann and ...
Roma Kačinskaitė +1 more
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