carpathian_2024_40_1_187_194In this paper we will study a Voronovskaja type theorem and a simultaneous approximation result for a new class of generalized Bernstein operators. The new operators are obtained using a generalization of Kantorovich’s method, namely, we will introduce a sequence of operators 
, where 
are Bernstein operators, 
is a differential operator with constant coefficients 
and 
a corresponding antiderivative operator such that 
.
| Author(s) | Vasian, Bianca Ioana |
|---|---|
| DOI | https://doi.org/10.37193/CJM.2024.01.13 |
Stability of new functional equations and partial multipliers in Banach *-algebras
Characterizations of amenable gyrogroups related to Tarski's Theorem
Two new extragradient methods for solving pseudomonotone the equilibrium problem in Hilbert spaces
On the error estimates for the sequence of successive approximations for cyclic \varphi–contractions in metric spaces
Hybrid CG-Like Algorithm for Nonlinear Equations and Image Restoration
New class of n-order fractional differential equations and solvability in the double sequence space m^2(\Delta_{v}^{u}, \phi,p)
Constructing DNA Codes using Double Cyclic Codes of Odd and Even Lengths over F2 + u F2
Consequences of the product rule in Stieltjes differentiability
On the existence and uniqueness of fixed points in Banach spaces using the Krasnoselskij iterative method
A quaternionic product of simple ratios
