Results 31 to 40 of about 537 (141)

Bézier-Summation-Integral-Type Operators That Include Pólya–Eggenberger Distribution

Mathematics, 2022
We define the summation-integral-type operators involving the ideas of Pólya–Eggenberger distribution and Bézier basis functions, and study some of their basic approximation properties. In addition, by means of the Ditzian–Totik modulus of smoothness, we
Syed Abdul Mohiuddine, Arun Kajla, Abdullah Alotaibi   +2 more
doaj   +1 more source

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

Some approximation properties of new Kantorovich type q-analogue of Balázs–Szabados operators

Journal of Inequalities and Applications, 2020
In this paper, we define a new Kantorovich type q-analogue of the Balázs–Szabados operators, we give some local approximation properties of these operators and prove a Voronovskaja type theorem.
Hayatem Hamal, Pembe Sabancigil
doaj   +1 more source

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

Approximation by a generalization of Szász-Mirakjan type operators [PDF]

, 2020
In the present paper we propose a new generalization of Szász - Mirakjan-type operators. We discuss their weighted convergence and rate of convergence via weighted modulus of continuity.
ARIF SIDDIQUI, Mohammed, GUPTA, Nandita
core   +2 more sources

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

On the Approximation Properties of q−Analogue Bivariate λ‐Bernstein Type Operators

Journal of Function Spaces, Volume 2020, Issue 1, 2020., 2020
In this article, we establish an extension of the bivariate generalization of the q‐Bernstein type operators involving parameter λ and extension of GBS (Generalized Boolean Sum) operators of bivariate q‐Bernstein type. For the first operators, we state the Volkov‐type theorem and we obtain a Voronovskaja type and investigate the degree of approximation
Edmond Aliaga, Behar Baxhaku, Gestur Lafsson   +2 more
wiley   +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

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

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