Rate of weighted statistical convergence for generalized blending-type Bernstein-Kantorovich operators
An alternative approach, known today as the Bernstein polynomials, to the Weierstrass
uniform approximation theorem was provided by Bernstein. These basis polynomials have …
uniform approximation theorem was provided by Bernstein. These basis polynomials have …
[图书][B] Moments of linear positive operators and approximation
V Gupta, MT Rassias - 2019 - Springer
Moments of Linear Positive Operators and Approximation deals with several problems
concerning positive linear operators. In Chaps. 1 and 2, we present—without proofs—a …
concerning positive linear operators. In Chaps. 1 and 2, we present—without proofs—a …
Modified -Bernstein operators with better approximation properties
In the present note, following a new approach recently described by Khosravian-Arab,
Dehghan, and Eslahchi, we construct a new kind of α-Bernstein operator and study a …
Dehghan, and Eslahchi, we construct a new kind of α-Bernstein operator and study a …
Modified Kantorovich operators with better approximation properties
In the present paper, we study a new kind of Bernstein-Kantorovich-type operators. Here, we
discuss a uniform convergence estimate for this modified form. Also, some direct estimates …
discuss a uniform convergence estimate for this modified form. Also, some direct estimates …
Better approximation of functions by genuine Bernstein-Durrmeyer type operators
AM Acu, PN Agrawal - arXiv preprint arXiv:1810.06822, 2018 - arxiv.org
The main object of this paper is to construct a new genuine Bernstein-Durrmeyer type
operators which have better features than the classical one. Some direct estimates for the …
operators which have better features than the classical one. Some direct estimates for the …
Fractional Bernstein polynomial method for solving time-fractional neutron diffusion systems
YM Hamada - Progress in Nuclear Energy, 2024 - Elsevier
In this research, an innovative numerical method is presented to solve the fractional space-
time multigroup neutron diffusion model. The method employs the fractional-order Bernstein …
time multigroup neutron diffusion model. The method employs the fractional-order Bernstein …
A spectral method based on Bernstein orthonormal basis functions for solving an inverse Roseneau equation
K Rashedi - Computational and Applied Mathematics, 2022 - Springer
In this work, we study an inverse problem with unknown boundary conditions in the one-
dimensional Rosenau equation. It is assumed that we have extra information such as some …
dimensional Rosenau equation. It is assumed that we have extra information such as some …
A numerical comparative study of generalized Bernstein-Kantorovich operators.
In this paper, a new generalization of the Bernstein-Kantorovich type operators involving
multiple shape parameters is introduced. Certain Voronovskaja and Grüss-Voronovskaya …
multiple shape parameters is introduced. Certain Voronovskaja and Grüss-Voronovskaya …
Wavelets based computational algorithms for multidimensional distributed order fractional differential equations with nonlinear source term
In this manuscript we provide effective computational algorithms based on Legendre
wavelet (LW), Bernstein wavelet (BW), and standard tau approach to approximate the …
wavelet (LW), Bernstein wavelet (BW), and standard tau approach to approximate the …
Some approximation properties by a class of bivariate operators
Starting with the well‐known Bernstein operators, in the present paper, we give a new
generalization of the bivariate type. The approximation properties of this new class of …
generalization of the bivariate type. The approximation properties of this new class of …