Results 31 to 40 of about 499 (123)

On partial derivatives of multivariate Bernstein polynomials [PDF]

, 2016
It is shown that Bernstein polynomials for a multivariate function converge to this function along with partial derivatives provided that the latter derivatives exist and are continuous.
A. N. Shiryaev, A. Yu. Veretennikov, A. Yu. Veretennikov, E. V. Veretennikova, E. V. Voronovskaya, G. G. Lorentz, G. G. Lorentz, I. N. Chlodovsky, I. V. Tikhonov, M. S. Floater, N. V. Krylov, O. T. Pop, S. A. Telyakovskii, S. N. Bernstein, S. N. Bernstein, T. Popoviciu, U. Abel, V. A. Zorich   +17 more
core   +2 more sources

Recent progress on univariate and multivariate polynomial and spline quasi-interpolants [PDF]

, 2004
Polynomial and spline quasi-interpolants (QIs) are practical and effective approximation operators. Among their remarkable properties, let us cite for example: good shape properties, easy computation and evaluation (no linear system to solve), uniform ...
A.T. Diallo, C. Boor de, C. Dagnino, Chui, D. Braess, D.D. Stancu, F. Costabile, G. Chen, G. Vlaic, G. Walz, G.M. Phillips, G.M. Phillips, H. Berens, H. Oruç, H.H. Gonska, I.J. Schoenberg, J.M. Marsden, J.M. Marsden, J.M. Marsden, K. Jetter, M.J. Lai, M.J. Lai, M.M. Derriennic, M.M. Derriennic, M.M. Derriennic, M.M. Derriennic, P. Mache, P. Sablonnière, P. Sablonnière, P. Sablonnière, P. Sablonnière, P. Sablonnière, P. Sablonnière, P. Sablonnière, P.L. Butzer, T. Lyche, T.N.T. Goodman, T.N.T. Goodman, Th. Sauer, W. Chen, W. Zhengchang, Y. Kageyama, Y. Kageyama, Z. Ditzian   +43 more
core   +3 more sources

On approximation properties of some non-positive Bernstein-Durrmeyer type operators

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2023
In this paper we shall introduce a new type of Bernstein Durrmeyer operators which are not positive on the entire interval [0, 1]. For these operators we will study the uniform convergence on all continuous functions on [0, 1] as well as a result given ...
Vasian Bianca Ioana
doaj   +1 more source

Some approximation properties of new ( p , q ) $( p,q ) $ -analogue of Balázs–Szabados operators

Journal of Inequalities and Applications, 2021
In this paper, a new ( p , q ) $( p,q ) $ -analogue of the Balázs–Szabados operators is defined. Moments up to the fourth order are calculated, and second order and fourth order central moments are estimated.
Hayatem Hamal, Pembe Sabancigil
doaj   +1 more source

Asymptotic expansions and Voronovskaja type theorems for the multivariate neural network operators

Mathematical Foundations of Computing, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Costarelli, Danilo, Vinti, Gianluca
openaire   +3 more sources

The Bernstein Voronovskaja-type theorem for positive linear approximation operators

Journal of Approximation Theory, 2015
The main result of the paper is a general Bernstein-Voronovskaja property: if \(\{ L_{n} \}_{n\geq 1},\) \(L_{n} : C[0,1] \to C[0,1],\) is a sequence of positive linear approximation operators, i.e., \(L_{n}(f;x) \to f(x)\) as \(n \to \infty\) for \(x \in [0,1],\) and \[ R(L_{n},f,q,x) := L_{n}(f;x) - \sum_{i=0}^{q} L_{n}((\cdot - x)^{i};x) \frac{f^{(i)
Ioan Gavrea, Mircea Ivan
openaire   +1 more source

The q‐Chlodowsky and q‐Szasz‐Durrmeyer Hybrid Operators on Weighted Spaces

Journal of Mathematics, Volume 2020, Issue 1, 2020., 2020
The main aim of this article is to introduce a new type of q‐Chlodowsky and q‐Szasz‐Durrmeyer hybrid operators on weighted spaces. To this end, we give approximation properties of the modified new q‐Hybrid operators. Moreover, in the weighted spaces, we examine the rate of convergence of the modified new q‐Hybrid operators by means of moduli of ...
Harun Çiçek, Aydın İzgi, Mehdi Ghatee   +2 more
wiley   +1 more source

The Voronovskaja type theorem for an extension of Szász-Mirakjan operators

Demonstratio Mathematica, 2012
Abstract Recently, C. Mortici defined a class of linear and positive operators depending on a certain function ϕ, which generalize the well known Szász-Mirakjan operators. For these generalized operators we establish a Voronovskaja type theorem, the uniform convergence and the order of approximation, using the modulus of continuity.
Pop, Ovidiu T., Bărbosu, Dan, Miclăuş, Dan   +2 more
openaire   +2 more sources

Approximation properties of multivariate exponential sampling series

Karpatsʹkì Matematičnì Publìkacìï, 2021
In this paper, we generalize the family of exponential sampling series for functions of $n$ variables and study their pointwise and uniform convergence as well as the rate of convergence for the functions belonging to space of $\log$-uniformly continuous
S. Kurşun, M. Turgay, O. Alagöz, T. Acar   +3 more
doaj   +1 more source

Local and global results for modified Sz\'{a}sz - Mirakjan operators

, 2016
In this paper, we study a natural modification of Sz\'{a}sz - Mirakjan operators. It is shown by discussing many important established results for Sz\'{a}sz - Mirakjan operators.
null null, R.B. Gandhi, Vishnu Narayan Mishra   +2 more
core   +1 more source