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The Unique Limit of the Glimm-Lax Construction for Sobolev Data and Obstructions to 1-d Convex Integration. [PDF]

Arch Ration Mech Anal
Cheng J, Faile C, Krupa SG.
europepmc   +1 more source

Analytical Dual Flip Angle R1 Calculation Outside the Small-Angle Regime. [PDF]

Magn Reson Med
Edwards LJ, Pine KJ, Lipp I, EBC consortium, Kirilina E, Helms G, Weiskopf N.   +6 more
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Vortex equilibria using least-squares methods. [PDF]

Theor Comput Fluid Dyn
Harris SJ, McDonald NR.
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Symmetry-dependent electronic reconstruction and intrinsic ultraviolet response in Sr₂B'B″O₆ (B' = Ti, Zr; B″ = Sn, Ge) double perovskite oxides: a first-principles study. [PDF]

RSC Adv
Liu K, Zhang Y, Wei S, Guan X, Cheng Y, Zhang X, Zhang C, Chen C, Lu P.   +8 more
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Convex Approximation by Rational Functions

SIAM Journal on Mathematical Analysis, 1995
The first part of the paper is concerned with the convex approximation to \(| x |\) by rational functions on the interval \([- 1,1]\). By using \(H^ \infty\) quadrature the approximation order \(c_ 1 e^{- c_ 2 \sqrt n}\) is obtained, where \(n\) denotes the degree of the approximating rational function.
Donald J Newman
exaly   +4 more sources

Approximation of the function �x� by rational functions

Mathematical Notes, 1974
We consider the problem of the approximation of the function ¦x¦ by rational functions. We make more precise the best approximation estimate obtained by A. P. Bulanov. We prove that for arbitrary positive integral n $$R_n [|x|]< Ane^{ - \pi \sqrt n } ,$$ where ...
N. S. Vyacheslavov
exaly   +3 more sources

ON THE ORDER OF APPROXIMATION OF CONVEX FUNCTIONS BY RATIONAL FUNCTIONS

Mathematics of the USSR-Izvestiya, 1969
We show that for arbitrary convex functions the order of approximation (in the metric C[a, b]) by rational functions of degree no higher than n does not exceed the quantity CMln²n/n (C an absolute constant, M the maximum modulus of the convex function).
A. P. Bulanov
semanticscholar   +2 more sources

Chebyshev Approximation of Multivariable Functions by a Constrained Rational Expression

Cybernetics and Systems Analysis, 2023
P S Malachivskyy, L S Melnychok
exaly   +2 more sources

Chebyshev Approximation by a Rational Expression for Functions of Many Variables

Cybernetics and Systems Analysis, 2020
P S Malachivskyy
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