Results 21 to 30 of about 1,539,341 (287)

Modified Bernstein–Durrmeyer Type Operators

Mathematics, 2022
We constructed a summation–integral type operator based on the latest research in the linear positive operators area. We establish some approximation properties for this new operator.
Arun Kajla, Dan Miclǎuş
doaj   +1 more source

Nonlinear tensor product approximation of functions [PDF]

, 2014
We are interested in approximation of a multivariate function $f(x_1,\dots,x_d)$ by linear combinations of products $u^1(x_1)\cdots u^d(x_d)$ of univariate functions $u^i(x_i)$, $i=1,\dots,d$.
Bazarkhanov, D., Temlyakov, V.
core   +1 more source

Multipoint Padé-Type Approximants. Exact Rate of Convergence [PDF]

Constructive Approximation, 1997
14 pages, no figures.-- MSC1991 codes: Primary 41A21, 41A25; Secondary 30E10, 42C05. MR#: MR1606915 (99i:41016) Zbl#: Zbl 0896.41010 We study the rate with which sequences of interpolating rational functions, whose poles are partially fixed, approximate Markov-type analytic functions. Applications to interpolating quadratures are given.
Cala Rodríguez, F., López Lagomasino, G.   +1 more
openaire   +3 more sources

Pointwise approximation of modified conjugate functions by matrix operators of conjugate Fourier series of 2π/r $2\pi /r$-periodic functions

Journal of Inequalities and Applications, 2018
We extend the results of Xh. Z. Krasniqi (Acta Comment. Univ. Tartu Math. 17:89–101, 2013) and the authors (Acta Comment. Univ. Tartu Math. 13:11–24, 2009; Proc. Est. Acad. Sci.
Mateusz Kubiak, Włodzimierz Łenski, Bogdan Szal   +2 more
doaj   +1 more source

Approximation in variation by the Kantorovich operators; pp. 201–209 [PDF]

Proceedings of the Estonian Academy of Sciences, 2011
We discuss the rate of approximation of the Kantorovich operators. The rate of approximation is given with respect to the variation seminorm.
Andi Kivinukk, Tarmo Metsmägi
doaj   +1 more source

Some Upper Bounds for RKHS Approximation by Bessel Functions

Axioms, 2022
A reproducing kernel Hilbert space (RKHS) approximation problem arising from learning theory is investigated. Some K-functionals and moduli of smoothness with respect to RKHSs are defined with Fourier–Bessel series and Fourier–Bessel transforms ...
Mingdang Tian, Baohuai Sheng, Shuhua Wang   +2 more
doaj   +1 more source

Ergodic approximation of the distribution of a stationary diffusion : rate of convergence [PDF]

, 2010
We extend to Lipschitz continuous functionals either of the true paths or of the Euler scheme with decreasing step of a wide class of Brownian ergodic diffusions, the Central Limit Theorems formally established for their marginal empirical measure of ...
Pagès, Gilles, Panloup, Fabien
core   +5 more sources

On the convergence rates of Gauss and Clenshaw-Curtis quadrature for functions of limited regularity [PDF]

, 2012
We study the optimal general rate of convergence of the n-point quadrature rules of Gauss and Clenshaw-Curtis when applied to functions of limited regularity: if the Chebyshev coefficients decay at a rate O(n^{-s-1}) for some s > 0, Clenshaw-Curtis and ...
Bornemann, Folkmar, Xiang, Shuhuang
core   +2 more sources

Rate of approximation of blending type modified univariate and bivariate λ-Schurer-Kantorovich operators

Kuwait Journal of Science
In this work, we investigate some approximation properties of blending type univariate and bivariate Schurer-Kantorovich operators based on shape parameter λ ∈ [−1, 1]. We evaluate some moment estimates and obtain several direct theorems.
Reşat Aslan
doaj   +1 more source

Approximation of Conjugate Functions by General Linear Operators of Their Fourier Series at the Lebesgue Points

Demonstratio Mathematica, 2014
The pointwise estimates of the deviations r T͂n,A,Bf (·) - f͂͂ (·) and T͂n,A,Bf (·) - f͂͂ (·,ε) in terms of moduli of continuity ω̃f and r ω̃f are proved. Analogical results on norm approximation with remarks and corollary are also given.
Łenski Włodzimierz, Szal Bogdan
doaj   +1 more source