Best approximation
Best approximation of the Dunkl Multiplier Operators Tk,ℓ,m
... 145.. [18], and using the theory of reproducing kernels [8], we give best approximation of the operator T k,`,m on the Hilbert spaces H k` s. In section 2 we define and study the Dunkl m[r] ...
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Best approximation and fixed-point theorems for discontinuous increasing maps in Banach lattices
... unique best approximation point. As an application of our best approximation theorems, a fixed-point theorem for non-self maps is established and proved under some ...
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The Best Approximation of the Sinc Function by a Polynomial of Degree with the Square Norm
... The polynomial of degree n which is the best approximation of the sinc function on the interval 0, π/2 with the square norm is considered. By using Lagrange’s method of multipliers, we construct the ...
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ON THE BEST APPROXIMATION OF THE DIFFERENTIATION OPERATOR
... the best approximation in the uniform norm of the differentiation operator of order k by bounded linear operators in the class of functions with the property that the Fourier transforms of their derivatives ...
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Best approximation and variational inequality problems involving a simulation function
... Let A and B be two nonempty subsets of a metric space (X, d) and T : A → B be a non-self- mapping. The equation Tx = x is known as a general fixed point equation and its solution is related to the solution of many ...
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FUZZY NUMERICAL RANGE HILBERT OPERATORS WITH APPLICATIONS IN BEST APPROXIMATION
... Abstract: The main purpose of this paper is to introduce the fuzzy numerical range of operator on fuzzy Hilbert space and to study some its properties. Then by applying this concept, we study a version of the problem of ...
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Coincidence Point, Best Approximation, and Best Proximity Theorems for Condensing Set-Valued Maps in Hyperconvex Metric Spaces
... In hyperconvex metric spaces, we first present a coincidence point theorem for condensing set- valued self-maps. Then we consider the best approximation problem and the best proximity problem for ...
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ON THE BEST APPROXIMATION OF THE INFINITESIMAL GENERATOR OF A CONTRACTION SEMIGROUP IN A HILBERT SPACE
... The problem we consider is a special case of the general problem of the best approximation of an unbounded operator by linear bounded ones on a certain class of elements in a Banach space. This problem ...
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A class of generalized best approximation problems in locally convex linear topological spaces
... In a locally convex linear topological space every element possesses at least one best approximation with respect to every closed, convex and finite dimensional set.. In a finite dimensi[r] ...
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Best Approximation Results using Property (E.A.) and (CLR) in Complex Valued Metric Spaces
... The aim of this paper is to establish the best approximation results using the results of Verma and Pathak [9] and Kumar et. al.[5]. The results proved in this paper generalise and extend the various common ...
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Best Approximation in Uniformity Type Spaces
... Abstract. Let X be a set, and Γ be a collection of subsets of X × X . The object of this paper, is to define a semi-linear uniform space by assuming certain conditions on Γ. The structure of such spaces turned to be a ...
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δ- Best Approximation in 2-Normed Almost Linear Space
... of best approximation in terms of 2-semi inner products and normalized duality mapping associated with a linear 2-normed ...of best approximation in 2- normed almost linear space[17] andsome ...
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Best Approximation Results via Common Fixed Points inComplex Valued Metric Spaces
... of best approximation in the setting of complex valued metric ...certain best approximation results whichextend and generalize various known results of ordinary metric ...
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On Best Approximation in $L^p(\mu,X) and $L^\phi(\mu,X), 1\le p\le \infinity$
... Optimization is a mathematical technique that concerns the finding of maxima or minima of functions within some feasible region. A diversity of optimization techniques fight for the best solution. Particle Swarm ...
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Best approximation of functions in generalized Hölder class
... Our motivation for this work is to consider a more advanced class of functions that can provide best approximation by a trigonometric polynomial of degree not more than r. Therefore, in this work, we ...
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Generalized Order and Best Approximation of Entire Function in 𝐿𝑝 Norm
... The aim of this paper is the characterization of the generalized growth of entire functions of several complex variables by means of the best polynomial approximation and interpolation o[r] ...
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Best Approximation in TVS
... In this paper we give new results on the best approxi- mation in the Hausdorff topological vector space and consider rela- tionship with orthogonality.. Introduction and Prelimiaries.[r] ...
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A best approximation property of the moving finite element method
... Reuse See Attached Takedown If you consider content in White Rose Research Online to be in breach of UK law, please notify us by emailing [email protected] including the URL of the[r] ...
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Extensions of best approximation and coincidence theorems
... Ding and Tan [9, Theorem 4]" X is a weakly compact convex subset of a locally convex Hausdorff topological vector space E, r, g lx, and F KX, w, E, T.. From Theorem 3.1, we obtain the fo[r] ...
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A Best Approximation for the Difference of Expressions Related to the Power Means
... Trif, the person that gave me a lot of moral and technical support to finish this paper.. REFERENCES.[r] ...
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