Found 77 Documents (Results 1–77)
On the convergence of Bernstein-Kantorovich-Stancu shifted knots operators involving Schurer parameter. (English) Zbl 1531.41014
Reviewer: Włodzimierz Łenski (Poznań)
On wavelets Kantorovich \((p,q)\)-Baskakov operators and approximation properties. (English) Zbl 1532.41018
On sharpness of error bounds for multivariate neural network approximation. (English) Zbl 1530.41013
Approximation properties of the sampling Kantorovich operators: regularization, saturation, inverse results and Favard classes in \(L^p\)-spaces. (English) Zbl 1505.41012
Equivalence of K-functionals and moduli of smoothness generated by the Beltrami-Laplace operator on the spaces \(S^{(p,q)}(\sigma^{m-1})\). (English) Zbl 1501.41007
Approximation spaces of deep neural networks. (English) Zbl 1491.82017
Reviewer: Claudia Simionescu-Badea (Wien)
Inverse approximation theorems in the spaces \(S^{(p,q)}(\sigma^{m-1})\). (English. Russian original) Zbl 1478.41003
Math. Notes 110, No. 1, 80-91 (2021); translation from Mat. Zametki 110, No. 1, 75-89 (2021).
Reviewer: Francisco Pérez Acosta (La Laguna)
Modulus of smoothness and theorems concerning approximation in the space \(L^2_{q,\alpha}(\mathbb{R}_q)\) with power weight. (English) Zbl 1467.41009
Approximation by max-product sampling Kantorovich operators with generalized kernels. (English) Zbl 1464.41004
Reviewer: Włodzimierz Łenski (Poznań)
Smoothness of functions versus smoothness of approximation processes. (English) Zbl 1469.41015
Reviewer: Stefan Cobzaş (Cluj-Napoca)
On the equivalence of the \(K\)-functional and the modulus of continuity on the periodic variable exponent Morrey spaces. (English) Zbl 1463.46049
Reviewer: Dirk Werner (Berlin)
Properties of moduli of smoothness in \(L_p (\mathbb{R}^d)\). (English) Zbl 1450.41004
Reviewer: Alexei Lukashov (Saratov)
On sharpness of error bounds for univariate approximation by single hidden layer feedforward neural networks. (English) Zbl 1443.62314
Korovkin type approximation theorems via power series method. (English) Zbl 1447.41011
Reviewer: Zoltán Finta (Cluj-Napoca)
Polynomial approximation in convex domains. (English) Zbl 1401.41004
Reviewer: Zoltán Finta (Cluj-Napoca)
Best approximations and moduli of smoothness of functions and their derivatives in \(L_p\), \(0 < p < 1\). (English) Zbl 1400.41007
Reviewer: Aurelian Bejancu (Safat)
Approximation classes for adaptive higher order finite element approximation. (English) Zbl 1298.41024
Math. Comput. 83, No. 289, 2127-2160 (2014); erratum ibid. 86, No. 305, 1525-1526 (2017).
Reviewer: Martin D. Buhmann (Gießen)
Rate of convergence in \(L_p\) approximation. (English) Zbl 1324.41019
Reviewer: Wlodzimierz Lenski (Poznan)
Strong summation process in \(L_p\) spaces. (English) Zbl 1283.41017
Reviewer: Naokant Deo (Delhi)
An extension based on \(qR\)-integral for a sequence of operators. (English) Zbl 1232.41019
MSC:
41A35
Whitney type inequalities for local anisotropic polynomial approximation. (English) Zbl 1232.41033
Reviewer: Costica Mustăţa (Cluj-Napoca)
On the equivalence of the modulus of smoothness and the \(K\)-functional over convex domains. (English) Zbl 1188.41010
Reviewer: Vijay Gupta (New Delhi)
Asymptotically minimax non-parametric function estimation with positivity constraints. I. (English) Zbl 1282.62089
The direct and converse inequalities for Jackson-type operators on spherical cap. (English) Zbl 1187.41009
MSC:
41A35
\(C^1\) spline wavelets on triangulations. (English) Zbl 1126.41006
Reviewer: Martin D. Buhmann (Gießen)
The essential order of approximation for nearly exponential type neural networks. (English) Zbl 1121.41033
MSC:
41A63
Approximation with scaled shift-invariant spaces by means of quasi-projection operators. (English) Zbl 1064.41013
Reviewer: Ion Raşa (Cluj-Napoca)
Inequalities for trigonometric polynomials and some integral means. (English) Zbl 0977.41006
Reviewer: S.M.Mazhar (Kuwait)
Multiscale decompositions on bounded domains. (English) Zbl 0945.42018
Reviewer: Eleonora Storozhenko (Odessa)
Directional \(K\)-functionals. (English) Zbl 0783.41015
On the best approximation of functions on the sphere in the metric of \(L_ p(S^ n), 1<p<{\infty}\). (English) Zbl 0858.41021
Reviewer: L.G.Labsker (Moskva)
Application of box splines to the approximation of Sobolev spaces. (English) Zbl 0709.41007
Reviewer: A.L.Brown
On the error of compound quadrature formulas for r-convex functions. (English) Zbl 0698.41028
Reviewer: J.Kofron
Mixed K-functionals: A measure of smoothness for blending-type approximation. (English) Zbl 0676.41022
Properties of Korovkin type in \(L^ p(a,b)\). (English) Zbl 0693.41018
Reviewer: L.Hahn
Sharp estimates in terms of moduli of smoothness for compound cubature rules. (English) Zbl 0673.41010
Approximation of stochastic processes by spline systems. (English. Russian original) Zbl 0667.60047
J. Sov. Math. 44, No. 1, 48-52 (1989); translation from Issled. Prikl. Mat. 8, 72-77 (1980).
Jackson’s theorem for compact connected Lie groups. (English) Zbl 0704.43007
Reviewer: R.Long
Positive spline operators and orthogonal splines. (English) Zbl 0683.41020
Reviewer: B.Bojanov
Positive spline operators and orthogonal splines. (English) Zbl 0672.41008
Reviewer: B.D.Bojanov
A ”K-attainable” inequality related to the convergence of positive linear operators. (English) Zbl 0571.41018
On some approximation properties of real Hardy spaces \((0<p\leq 1)\). (English) Zbl 0577.41021
Reviewer: G.Godini
A theorem concerning approximation on the sphere. (English) Zbl 0565.41033
Reviewer: S.M.Mazhar
Interpolation of \(2^ d\) Banach spaces and multiparametric approximation. (English) Zbl 0535.41035
Reviewer: L.Ciobanu
Quantitative estimates for \(L_ p\) approximation with positive linear operators. (English) Zbl 0522.41016
MSC:
41A36
\(L^ p-\)approximation durch Reihen nach dem Haar-Orthogonalsystem und dem Faber-Schauder-System. (German) Zbl 0491.41021
The trace to closed sets of functions in \(R^ n\) with second difference of order 0(h). (English) Zbl 0451.41022
MSC:
41A65
Degree of \(L_ p-\)approximation by certain positive convolution operators. (English) Zbl 0456.41018
General theorems on rates of convergence in distribution of random variables I. General limit theorems. (English) Zbl 0383.60024
Ungleichungen vom Jackson-Typ für die algebraische beste Approximation in \(L_p\). (German) Zbl 0379.41015
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