Approximation Properties of q-Baskakov Operators
Vijay Gupta, Zoltán Finta
exaly +2 more sources
On the Approximation Properties of q−Analogue Bivariate λ‐Bernstein Type Operators
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 +2 more
wiley +1 more source
Modified Bernstein–Durrmeyer Type Operators
We constructed a summation–integral type operator based on the latest research in the linear positive operators area. We establish some approximation properties for this new operator.
Arun Kajla, Dan Miclǎuş
doaj +1 more source
Weighted Simultaneous Approximation of the Linear Combinations of Baskakov Operators
In this paper, the approximation property of the linear combinations of Baskakov operators is investigated by using a Jacobi weight function. Moreover, both the positive and inverse theorems for the weighted simultaneous approximation of the linear combinations of Baskakov operators are proved.
Xiao-jun Tang +3 more
wiley +1 more source
On the order of approximation by modified summation-integral-type operators based on two parameters
In this article, we the study generalized family of positive linear operators based on two parameters, which are a broad family of many well-known linear positive operators, e.g., Baskakov-Durrmeyer, Baskakov-Szász, Szász-Beta, Lupaş-Beta, Lupaş-Szász ...
Mohiuddine Syed Abdul +2 more
doaj +1 more source
Direct and Inverse Estimates for Combinations of Bernstein Polynomials with Endpoint Singularities [PDF]
We give direct and inverse theorems for the weighted approximation of functions with endpoint singularities by combinations of Bernstein polynomials by the rth Ditzian-Totik modulus of smoothness ω r φ (f, t)w where φ is an admissible step-weight ...
Wen-Ming Lu, Wenming, Lu
core +3 more sources
On the approximation by Bezier-Paltanea operators based on Gould Hopper polynomials [PDF]
In the present article, we give a Bezier variant of Paltanea operators whichinvolves Gould Hopper polynomials. First, we investigate rate of convergence by using Ditzian-Totik modulus of smoothness, weighted modulus of continuity and also for class ...
Mursaleen, Mohammad +2 more
core +1 more source
Lp‐Approximation (p ≥ 1) by q‐Kantorovich Operators
For a new q‐Kantorovich operator we establish direct approximation theorems in the space Lp[0,1], 1 ≤ p ≤ ∞, via Ditzian‐Totik modulus of smoothness of second order.
Zoltán Finta, Claudio H. Morales
wiley +1 more source
Some Approximation Properties of q‐Baskakov‐Beta‐Stancu Type Operators
This paper deals with new type q‐Baskakov‐Beta‐Stancu operators defined in the paper. First, we have used the properties of q‐integral to establish the moments of these operators. We also obtain some approximation properties and asymptotic formulae for these operators. In the end we have also presented better error estimations for the q‐operators.
Vishnu Narayan Mishra +3 more
wiley +1 more source
Estimation of Approximation with Jacobi Weights by Multivariate Baskakov Operator
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 +3 more
wiley +1 more source

