Results 31 to 40 of about 565 (106)

Estimation of Approximation with Jacobi Weights by Multivariate Baskakov Operator

Journal of Function Spaces, Volume 2013, Issue 1, 2013., 2013
We first give the unboundedness of multivariate Baskakov operators with the normal weighted norm. By introducing new norms, using the multivariate decomposition technique and the modulus of smoothness with Jacobi weight, the upper bound estimation of multivariate Baskakov operators is obtained. The obtained results not only generalize the corresponding
Jianjun Wang, Haifeng Guo, Jia Jing, Yongsheng S. Han   +3 more
wiley   +1 more source

Derivatives of Multivariate Bernstein Operators and Smoothness with Jacobi Weights

Journal of Applied Mathematics, Volume 2012, Issue 1, 2012., 2012
Using the modulus of smoothness, directional derivatives of multivariate Bernstein operators with weights are characterized. The obtained results partly generalize the corresponding ones for multivariate Bernstein operators without weights.
Jianjun Wang, Zuoxiang Peng, Shukai Duan, Jia Jing, George Jaiani   +4 more
wiley   +1 more source

Better degree of approximation by modified Bernstein-Durrmeyer type operators

Mathematical Foundations of Computing, 2022
In the present article we investigate a Durrmeyer variant of the generalized Bernstein-operators based on a function \begin{document}$ \tau(x), $\end{document} where \begin{document}$ \tau $\end{document} is infinitely differentiable function on \begin ...
P. Agrawal, S. Güngör, Abhishek Kumar
semanticscholar   +1 more source

Approximation Order for Multivariate Durrmeyer Operators with Jacobi Weights

Abstract and Applied Analysis, Volume 2011, Issue 1, 2011., 2011
Using the equivalence relation between K‐functional and modulus of smoothness, we establish a strong direct theorem and an inverse theorem of weak type for multivariate Bernstein‐Durrmeyer operators with Jacobi weights on a simplex in this paper. We also obtain a characterization for multivariate Bernstein‐Durrmeyer operators with Jacobi weights on a ...
Jianjun Wang, Chan-Yun Yang, Shukai Duan, Pavel Drábek   +3 more
wiley   +1 more source

Global smoothness preservation with second order modulus of smoothness

, 2013
We establish the global smoothness preservation of a function f by the sequence of linear positive operators. Our estimate is in terms of the second order Ditzian-Totik modulus of smoothness. Application is given to the Bernstein operator.
G. Tachev
semanticscholar   +1 more source

Approximation and Shape Preserving Properties of the Bernstein Operator of Max‐Product Kind

International Journal of Mathematics and Mathematical Sciences, Volume 2009, Issue 1, 2009., 2009
Starting from the study of the Shepard nonlinear operator of max-prod type by Bede et al. (2006, 2008), in the book by Gal (2008), Open Problem 5.5.4, pages 324–326, the Bernstein max-prod-type operator is introduced and the question of the approximation order by this operator is raised.
Barnabás Bede, Lucian Coroianu, Sorin G. Gal, Narendra Kumar Govil   +3 more
wiley   +1 more source

Pointwise Approximation Theorems for Combinations of Bernstein Polynomials With Inner Singularities

, 2010
We give direct and inverse theorems for the weighted approximation of functions with inner singularities by combinations of Bernstein polynomials.Comment: 13 pages ...
Lu, Wen-Ming, Zhang, Lin
core   +1 more source

Bernstein-type polynomials on several intervals [PDF]

, 2017
We construct the analogues of Bernstein polynomials on the set Js of s finitely many intervals. Two cases are considered: first when there are no restrictions on Js, and then when Js has a so-called T-polynomial.
A. Kroó, F. Peherstorfer, F. Peherstorfer, G.G. Lorentz, Z. Ditzian   +4 more
core   +1 more source

Estimates in direct inequalities for the Szász–Mirakyan operator

RACSAM, 2022
This paper deals with the approximation of continuous functions by the classical Szász–Mirakyan operator. We give new bounds for the constant in front of the second order Ditzian–Totik modulus of smoothness in direct inequalities.
J. Adell, D. Cárdenas-Morales
semanticscholar   +1 more source

Simultaneous approximation for the Phillips operators

International Journal of Mathematics and Mathematical Sciences, Volume 2006, Issue 1, 2006., 2006
We study the simultaneous approximation properties of the well‐known Phillips operators. We establish the rate of convergence of the Phillips operators in simultaneous approximation by means of the decomposition technique for functions of bounded variation.
N. K. Govil, Vijay Gupta, Muhammad Aslam Noor   +2 more
wiley   +1 more source