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Approximation Theory

A Research Approximation to Generalized Riemann Derivatives by Integral Operator Families

A Research Approximation to Generalized Riemann Derivatives by Integral Operator Families

... Abstract: Approximation theory has very important applications of polynomial approximation in various areas of functional analysis, Harmonic analysis, Fourier analysis, application mathematic, ...

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Some new results on certain types of proximinality in Banach spaces

Some new results on certain types of proximinality in Banach spaces

... in approximation theory in function ...in approximation theory is : If E is a uniquely proximinal set in a Hilbert space X ,then E is ...

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On the Korovkin approximation theorem and Volkov type theorems

On the Korovkin approximation theorem and Volkov type theorems

... In this short paper, we give a generalization of the classical Korovkin approximation theorem (Korovkin in Linear Operators and Approximation Theory, 1960), Volkov-type theorems (Volkov in Dokl. ...

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A survey on Ostrowski type inequalities related to Pompeiu's mean value theorem

A survey on Ostrowski type inequalities related to Pompeiu's mean value theorem

... Abstract. In this paper we survey some recent results obtained by the au- thor related to Pompeiu’s mean value theorem and inequality. Natural appli- cations to Ostrowski type inequalities that play an important role in ...

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Convex Solutions of a Nonlinear Integral Equation of Urysohn Type

Convex Solutions of a Nonlinear Integral Equation of Urysohn Type

... Measures of noncompactness are frequently used in nonlinear analysis, in branches such as the theory of differential and integral equations, the operator theory, or the approximation theory. ...

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Approximation by modified Kantorovich–Stancu operators

Approximation by modified Kantorovich–Stancu operators

... in approximation theory, and constructed the (p, q)- analogue of Bernstein operators [12], (p, q)-Bernstein–Kantorovich operators [13], and a Kantorovich variant of (p, q)-Szász–Mirakjan operators ...

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Covariances, Robustness, and Variational Bayes

Covariances, Robustness, and Variational Bayes

... posterior approximation as an optimization problem in which the objective to be minimized is the divergence, among a sub-class of tractable distributions, from the exact ...family approximation for the ...

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Article Quantifying the Performance of P Type Transparent Conducting Oxides by Experimental Methods

Article Quantifying the Performance of P Type Transparent Conducting Oxides by Experimental Methods

... functional theory (DFT), which include the electron–hole self interaction in terms of an expansion of the single particle Green’s function G and the Coulomb interaction W (GW-correction) ...density ...

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The Convergence Rate for a  Functional in Learning Theory

The Convergence Rate for a Functional in Learning Theory

... the approximation order for the de la Vall´ee means of the spherical harmonics, the Gauss integral formula, the Marcinkiewicz-Zygmund with respect to the scattered data obtained by ...networks approximation ...

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Assessment of the GW Approximation using Hubbard Chains

Assessment of the GW Approximation using Hubbard Chains

... Dyson’s equation (9) combines the equation of motion of the interacting with that of the corresponding non-interacting system. The self-energy specifies the deviation of the quasiparticle states from the bare electrons ...

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On the approximation of transport properties in structured materials using momentum-transfer theory

On the approximation of transport properties in structured materials using momentum-transfer theory

... transport theory, adapting gas phase cross-sections through the inclusion of the spatial and temporal correlations of the scatterers via structure ...MTT approximation was shown to break down in argon, and ...

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Functional equations from generating functions: a novel approach to deriving identities for the Bernstein basis functions

Functional equations from generating functions: a novel approach to deriving identities for the Bernstein basis functions

... The Bernstein polynomials have many applications: in approximations of functions, in statistics, in numerical analysis, in p-adic analysis and in the solution of differential equa- tions. It is also well known that in ...

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Asymptotic consistency of the polynomial approximation in the linearized plate theory

Asymptotic consistency of the polynomial approximation in the linearized plate theory

... Our aim in this section is to compare the Reissner-Minlin model with the rst models that can be obtained by internal approximation on polynomial spaces. For the sake of brevity, we assume from now on that the ...

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An approximation approach to the problem of the acquisition of phonotactics in Optimality Theory

An approximation approach to the problem of the acquisition of phonotactics in Optimality Theory

... Usually, the problem of the acquisition of the phonotactics of a language given a finite set of lin- guistic data is formalized as the problem of find- ing a smallest language in the typology that is consistent with the ...

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Approximation to the Theory of Affinities to Manage the Problems of the Grouping Process

Approximation to the Theory of Affinities to Manage the Problems of the Grouping Process

... the theory of affinities; 2) transition from one axiomatic to the other in pretopologies; 3) obtaining the strictest uncertain pretopology determined as uncertain pretopology of Moore; 4) process for obtaining ...

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Weighted Abstract Dialectical Frameworks through the Lens of Approximation Fixpoint Theory

Weighted Abstract Dialectical Frameworks through the Lens of Approximation Fixpoint Theory

... try between true and false in ADFs to wADFs, taking an order on the acceptance values into account? And thus, how can we obtain a generalization of stable seman- tics (and of other semantics) in which smaller acceptance ...

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GUIDING FEATURE BASED SAR IMAGE ALIGNMENT USING BAG OF WORDS MODEL

GUIDING FEATURE BASED SAR IMAGE ALIGNMENT USING BAG OF WORDS MODEL

... For a set, its boundary region is signified by the set difference between its upper and lower approximations [20]. The rough set theory is illustrated in Figure 7 in terms of its concept while the ...

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On the observation of nonclassical excitations in Bose–Einstein condensates

On the observation of nonclassical excitations in Bose–Einstein condensates

... Bogoliubov theory is a valid approximation, a measurement of V < 1 ( or equivalently a violation of the intensity CSI ) is suf fi cient for P-nonclassicality and nonseparability, both of which are ...

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Denoising by Sparse Approximation: Error Bounds Based on Rate-Distortion Theory

Denoising by Sparse Approximation: Error Bounds Based on Rate-Distortion Theory

... uniformly distributed, and hence the bound is the tightest. Each of parts (a)–(c) cover a single value of N and combine K = 1 and K = 2. Part (d) shows results for N = 10 and N = 100 for K = 1. In all cases, the bound ...

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Diophantine Approximation on Manifolds and the Distribution of Rational Points: Contributions to the Convergence Theory

Diophantine Approximation on Manifolds and the Distribution of Rational Points: Contributions to the Convergence Theory

... that lie (up to an absolute constant) within the ψ (q)/q-neighbourhood of M f . Before stating our counting results, it is worthwhile to compare condition (1.1) imposed on the Jacobian of f with that of non-degeneracy as ...

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