Approximation for Functions with Bounded Variations
Nonlocal conditions for differential inclusions in the space of functions of bounded variations
... RESEARCH Open Access Nonlocal conditions for differential inclusions in the space of functions of bounded variations Ravi Agarwal1,2 and Abdelkader Boucherif2* * Correspondence aboucher@kfupm edu sa 2[.] ...
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Approximation with activation functions and applications
... There are many applications of the two last Relu-approximation functions. Python program- ming language is used to code some of these applications presented in the rest of this work. 2.3.1 Interpolation We ...
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Sparse Approximation of Singularity Functions
... of approximation of singular functions determines the convergence rate of Finite Element Methods for elliptic ...best approximation is O(N −min{p,s}/d ...
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Approximation of Functions by Singular Integrals
... on approximation of locally summable functions by singular integrals of type ...of approximation in terms of various metric characteristics describing the structural properties of the given ...
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New approximation inequalities for circular functions
... exponential approximation inequalities which improve the ones of ...circular functions by us- ing the properties of Bernoulli numbers and new criteria for the monotonicity of quotient of two power ...
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On approximation of continuous functions by trigonometric polynomials
... Unless otherwise stated, we denote by C , C 1 , C 2 , . . . positive constants and by ε, ε 1 , ε 2 , . . . sufficiently small positive constants that are either absolute or depend on E only. The set E ∗ := R \ E consists ...
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Alternate Approximation of Concave Cost Functions for
... alternate approximation of concave cost functions used to reflect economies of scale in process design and supply chain optimization ...has bounded gradients at zero values in contrast to other ...
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Approximation of Analytic Functions by Kummer Functions
... y x − αyx ∞ m0 a m x m , 1.4 where α and β are constants and the coefficients a m of the power series are given such that the radius of convergence is ρ > 0, whose value is in general permitted to be infinite. Moreover, ...
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Perfect approximation of functions
... There are only isolated instances of vectors of functions for which it is possible to obtain an explicit expression for the remainder functions obtained upon approximating by polynomials[r] ...
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ON APPROXIMATION OF FUNCTIONS BY PRODUCT OPERATORS
... of approximation of a function f belonging to the class Lip(α, r), 1 ≤ r < ∞ and the weighted class W (L r , ξ(t)), 1 ≤ r < ∞ by (C, 2)(E, 1) product operators have been ...
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The computational complexity of approximation of partition functions
... all functions that can be represented by a psm-formula over Φ ∪ {eq}, where eq is the binary equality function on D given by eq(x, x) = 0 and eq(x, y) = ∞ for x 6= ...cost functions taking values in {0, ∞} ...
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An approximation property of simple harmonic functions
... There is another way to explain the Hyers-Ulam stability. Usually the experiment (or the observed) data do not exactly coincide with theoretical expectations. We may express natural phenomena by use of equations, but ...
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Approximation of Subharmonic Functions in the Unit Disk
... suggestions, as well as other participants of the Lviv seminar on the theory of an- alytic functions for their valuable comments that contributed to the improvement of the initial version of the paper. I wish also ...
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Differentiable approximation and extension of convex functions
... We obtain a full solution to this problem in Hilbert spaces for convex functions of class C 1 with uniformly continuous gradient by means of an explicit extension formula, which guarante[r] ...
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Super optimal approximation by meromorphic functions
... I t should be mentioned that in the case of rational matrix functions G there is a well known parametrization of all optimal solutions of the matrix Nehari-Takagi problem in state space [r] ...
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Sigmoid functions for the smooth approximation to x
... x 2 + µ with respect to accuracy. To accom- plish our goal we also provide sharp hyperbolic bounds for error function. 1 Introduction An S - shaped function which usually monotonically increases on R (the set of all real ...
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BV has the bounded approximation property
... the bounded approximation ...BV functions valued in R k , as well as the corresponding Banach spaces on over the complex ...BV functions on an open subset Ω of R n with the extension property, ...
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Random sampling and approximation of signals with bounded derivatives
... that functions in H γ , Ω can be recovered stably with overwhelming probability provided that the sampling noise satisfies some mild conditions and the sampling size is sufficiently ...approximate functions ...
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Functions of bounded variation in Carnot-Carathéodory spaces
... of functions of bounded X-variation together with a list of known properties of BV X functions in CC space: approximation by smooth maps (Theorem ...
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Time-bounded Kolmogorov complexity and Solovay functions
... where A i is the approximation to A after i steps of enumeration, and let g 0 (n) := lim s→∞ g(n, s). We have g(n) ≤ g ˜ 0 (n) for all n and by construction, g 0 can be effectively approximated from below. ...
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