Displaying similar documents to “Convergence of approximation methods for eigenvalue problem for two forms”

A Korovkin type approximation theorems via ℐ -convergence

Oktay Duman (2007)

Czechoslovak Mathematical Journal

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Using the concept of ℐ -convergence we provide a Korovkin type approximation theorem by means of positive linear operators defined on an appropriate weighted space given with any interval of the real line. We also study rates of convergence by means of the modulus of continuity and the elements of the Lipschitz class.

On approximation of functions by certain operators preserving x 2

Lucyna Rempulska, Karolina Tomczak (2008)

Commentationes Mathematicae Universitatis Carolinae

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In this paper we extend the Duman-King idea of approximation of functions by positive linear operators preserving e k ( x ) = x k , k = 0 , 2 . Using a modification of certain operators L n preserving e 0 and e 1 , we introduce operators L n * which preserve e 0 and e 2 and next we define operators L n ; r * for r -times differentiable functions. We show that L n * and L n ; r * have better approximation properties than L n and L n ; r .

Approximation and shape preserving properties of the nonlinear Bleimann-Butzer-Hahn operators of max-product kind

Barnabás Bede, Lucian Coroianu, Sorin G. Gal (2010)

Commentationes Mathematicae Universitatis Carolinae

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Starting from the study of the Shepard nonlinear operator of max-prod type in (Bede, Nobuhara et al., 2006, 2008), in the book (Gal, 2008), Open Problem 5.5.4, pp. 324–326, the Bleimann-Butzer-Hahn max-prod type operator is introduced and the question of the approximation order by this operator is raised. In this paper firstly we obtain an upper estimate of the approximation error of the form ω 1 ( f ; ( 1 + x ) 3 2 x / n ) . A consequence of this result is that for each compact subinterval [ 0 , a ] , with arbitrary a > 0 , the...