Results 31 to 40 of about 954 (69)
Nonlinear operator extensions of Korovkin's theorems [PDF]
arXiv, 2023 In this paper we extend Korovkin's theorem to the context of sequences of weakly nonlinear and monotone operators defined on certain Banach function spaces. Several examples illustrating the theory are included.
arxiv
Ulyanov inequalities for the mixed moduli of smoothness in mixed metrics [PDF]
arXiv, 2023 In this paper we prove Ulyanov-type inequalities between mixed moduli of smoothness of positive orders in different metrics.
arxiv
An Improved Error Bound for Multiquadric and Inverse Multiquadric Interpolation [PDF]
arXiv, 2007 A new error bound which is better than the current exponential-type error bound is presented in this paper.
arxiv
An Improved Error Bound for Gaussian Interpolation [PDF]
arXiv, 2007 An error bound for Gaussian Interpolation which is better than the current exponential-type error bound is presented.
arxiv
Evenly Spaced Data Points and Radial Basis Functions [PDF]
arXiv, 2011 This article explores the influence of evenly spaced data points on radial-basis-function interpolation.
arxiv
An inequality on Chebyshev polynomials [PDF]
arXiv, 2003 We define a class of multivariate Laurent polynomials closely related to Chebyshev polynomials, and prove the simple but somewhat surprising (in view of the fact that the signs of the coefficients of the Chebyshev polynomials themselves alternate) result that their coefficients are non-negative.
arxiv
On the approximation by convolution operators in homogeneous Banach spaces on R^d [PDF]
, 2014 AMS Subject Classification 2010: 41A25, 41A35, 41A40, 41A63, 41A65, 42A38, 42A85, 42B10, 42B20The paper presents a description of the optimal rate of approximation as well as of a broad class of functions that possess it for convolution operators acting ...
Draganov, Borislav
core
On the approximation by weighted ridge functions [PDF]
arXiv, 2007 We characterize the best $L_{2}$ approximation to a multivariate function by linear combinations of ridge functions multiplied by some fixed weight functions. In the special case when the weight functions are constants, we propose explicit formulas for both the best approximation and approximation error.
arxiv
Tractability of the approximation of high-dimensional rank one tensors [PDF]
, 2014 We study the approximation of high-dimensional rank one tensors using point evaluations and consider deterministic as well as randomized algorithms.
Novak, Erich, Rudolf, Daniel
core
A New Error Bound for Shifted Surface Spline Interpolation [PDF]
arXiv, 2007 A New Error Bound for shifted surface spline interpolation is presented. This error bound probably is the most powerful one up to now.
arxiv