36 citations · 72 across the 12 of their papers we have counts for
5 papers · 1 filter
Lagrange-type operators associated with
Heiner Gonska, Ioan Raşa, Elena-Dorina Stănilă
We consider a class of positive linear operators which, among others, constitute a link between the classical Bernstein operators and the genuine Bernstein-Durrmeyer mappings. The…
Beta operators with Jacobi weights
Heiner Gonska, Ioan Raşa, Elena Dorina Stănilă
We discuss Beta operators with Jacobi weights on for , thus including the discussion of three limiting cases. Emphasis is on the moments and their asymptotic be…
Power series of the operators
Heiner Gonska, Ioan Raşa, Elena Dorina Stănilă
We study power series of members of a class of positive linear operators reproducing linear function and constituting a link between genuine Bernstein-Durrmeyer and classical Berns…
Chebyshev-Grüss-type inequalities via discrete oscillations
Heiner Gonska, Ioan Raşa, Maria-Daniela Rusu
The classical form of Grüss' inequality, first published by G. Grüss in 1935, gives an estimate of the difference between the integral of the product and the product of the integra…
Grüss and Grüss-Voronovskaya-type estimates for some Bernstein-type polynomials of real and complex variables
Sorin Gal, Heiner Gonska
The first aim of this paper is to prove a Grüss-Voronovskaya estimate for Bernstein and for a class of Bernstein-Durrmeyer polynomials on . Then, Grüss and Grüss-Voronovska…