Results 21 to 30 of about 229 (177)
A new approach to nonlinear singular integral operators depending on three parameters
Open Mathematics, 2016 In this paper, we present some theorems on weighted approximation by two dimensional nonlinear singular integral operators in the following form: Tλ(f;x,y)=∬R2Kλ(t−x,s−y,f(t,s))dsdt,(x,y)∈R2,λ∈Λ,$${T_\lambda }(f;x,y) = \iint\limits_{{\mathbb{R}^2}}K_ ...
Uysal Gumrah
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On the degree of approximation by Gauss Weierstrass integrals
International Journal of Mathematics and Mathematical Sciences, Volume 23, Issue 9, Page 645-649, 2000., 2000 We obtain the degree of approximation of functions belonging to class Lip(ψ(u, v); p), p > 1 using the Gauss Weierstrass integral of the double Fourier series of f(x, y).
Huzoor H. Khan, Govind Ram
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Direct and strong converse inequalities for approximation with Fejér means
Demonstratio Mathematica, 2020 We present upper and lower estimates of the error of approximation of periodic functions by Fejér means in the Lebesgue spaces L2πp{L}_{2{\pi }}^{p}. The estimates are given in terms of a K-functional for 1≤p≤∞1\le p\le \infty and in terms of the first ...
Bustamante Jorge
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Moment computation in shift invariant spaces
International Journal of Stochastic Analysis, Volume 11, Issue 4, Page 465-479, 1998., 1997 An algorithm is given for the computation of moments of f ∈ S, where S is either a principal h‐shift invariant space or S is a finitely generated h‐shift invariant space. An error estimate for the rate of convergence of our scheme is also presented. In so doing, we obtain a result for computing inner products in these spaces.
David A. Eubanks +2 more
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A generalization of Hermite interpolation
International Journal of Mathematics and Mathematical Sciences, Volume 20, Issue 4, Page 719-725, 1997., 1996 We introduce a new interpolation at Chebyshev nodes.
Xie-Hua Sun, Tingfan Xie
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On approximation of functions and their derivatives by quasi‐Hermite interpolation
International Journal of Mathematics and Mathematical Sciences, Volume 19, Issue 2, Page 279-286, 1996., 1994 In this paper, we consider the simultaneous approximation of the derivatives of the functions by the corresponding derivatives of quasi‐Hermite interpolation based on the zeros of (1 − x2)pn(x) (where pn(x)is a Legendre polynomial). The corresponding approximation degrees are given. It is shown that this matrix of nodes is almost optimal.
G. Min
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, 2022 In this paper we investigate the approximation properties for the iterated Boolean sums of Bernstein operators. The approximation behaviour of those operators is presented by the so-called strong inequalities. Moreover, such strong inequalities are valid
ZHOU, Xinlong, CHENG, Li
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A pointwise approximation theorem for linear combinations of Bernstein polynomials
Abstract and Applied Analysis, Volume 1, Issue 4, Page 397-406, 1996., 1996 Recently, Z. Ditzian gave an interesting direct estimate for Bernstein polynomials. In this paper we give direct and inverse results of this type for linear combinations of Bernstein polynomials.
Shunsheng Guo +4 more
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Global approximation properties of modified SMK operators
, 2010 In this paper, introducing a general modification of the classical Sz?sz-Mirakjan-Kantorovich (SMK) operators, we study their global approximation behavior. Some special cases are also presented. 2010 Mathematics Subject Classifications. 41A25, 41A36. .
Duman, Oktay +3 more
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On better approximation order for the max-product Meyer-König and Zeller operator
Demonstratio MathematicaBede et al. (B. Bede, L. Coroianu, and S. G. Gal, Approximation and shape preserving properties of the nonlinear Meyer-König and Zeller operator of max-product kind, Numer. Funct. Anal. Optim. 31 (2010), no.
Çit Sezin, Doğru Ogün
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