About a general property for a class of linear positive operators and applications
In this paper we demonstrate a general property for a class of linear positive operators. By particularization, we obtain the convergence and the evaluation for the rate of convergence in term of the first modulus of smoothness for the Bernstein ...
Ovidiu T. Pop
doaj +2 more sources
Approximation by Bivariate Bernstein-Durrmeyer Operators on a Triangle [PDF]
In the present paper, we obtain some approximation properties for the bivariate Bernstein-Durrmeyer operators on a triangle. We characterize the rate of convergence in terms of K−functional and the usual and second order modulus of continuity.
Araci, Serkan +7 more
core +2 more sources
Nonlinear sampling Durrmeyer operators: approximation results in function spaces
In this paper we introduce and study the nonlinear version of sampling Durrmeyer operators. For what concerns the space of continuous functions, a pointwise and uniform convergence theorem have been established.
Travaglini Arianna, Vinti Gianluca
doaj +1 more source
Strong Converse Results for Linking Operators and Convex Functions
We consider a family Bn,ρc of operators which is a link between classical Baskakov operators (for ρ=∞) and their genuine Durrmeyer type modification (for ρ=1).
Ana-Maria Acu +2 more
doaj +1 more source
Approximation of Durrmeyer Type Operators Depending on Certain Parameters
Motivated by a number of recent investigations, we consider a new analogue of Bernstein-Durrmeyer operators based on certain variants. We derive some approximation properties of these operators.
Neha Malik +2 more
doaj +1 more source
The generalization of Voronovskaja's theorem for a class of linear and positive operators
In this paper we generalize Voronovskaja's theorem for a class of linear and positive operators, and then, through particular cases, we obtain statements verified by the Bernstein, Schurer, Stancu, Kantorovich and Durrmeyer operators.
Ovidiu T. Pop
doaj +2 more sources
GBS Operators of LupaAY-Durrmeyer Type Based on Polya Distribution
In this paper, we study an extension of the bivariate LupaAY-Durrmeyer operators based on Polya distribution. For these operators we get a Voronovskaja type theorem and the order of approximation using Peetre's K-functional.
İSPİR, NURHAYAT +2 more
core +1 more source
Voronovskaja Type Approxımatıon Theorem For Bernsteın-Durrmeyer-Stancu Operators
L.Dog ve D.Yu, Bernstein-Durrmeyer operatörlerinin bir çeşidini tanımlamışlar ve ardından bu operatörlerin bir genelleştirmesi olan Bernstein-Durrmeyer-Stancu operatörlerini tanımlamışlardır.
Ergelen, Gizem
core
Multivariate Bernstein–Durrmeyer operators with arbitrary weight functions [PDF]
In this paper we introduce a class of Bernstein–Durrmeyer operators with respect to an arbitrary measure ρ on the d-dimensional simplex, and a class of more general polynomial integral operators with a kernel function involving the Bernstein basis ...
Berdysheva, Elena E., Jetter, Kurt
core +1 more source
Curriculum and assessment tool for less invasive surfactant administration: an international Delphi consensus study. [PDF]
Breindahl N +15 more
europepmc +1 more source

