Approximation by sampling-type nonlinear discrete operators in ?-variation

Approximation by max-product type nonlinear operators

The purpose of this survey is to present some approximation and shape preserving properties of the so-called nonlinear (more exactly sublinear) and positive, max-product operators, constructed by starting from any discrete linear approximation operators, obtained in a series of recent papers jointly written with B. Bede and L. Coroianu. We will present the main results for the max-product opera...

Direct Approximation Theorems for Discrete Type Operators

In the present paper we prove direct approximation theorems for discrete type operators (Lnf)(x) = ∞ ∑ k=0 un,k(x)λn,k(f), f ∈ C[0,∞), x ∈ [0,∞) using a modified K−functional. As applications we give direct theorems for Baskakov type operators, Szász-Mirakjan type operators and Lupaş operator.

Approximation by Lupas-Type Operators and Szász-Mirakyan-Type Operators

On the Durrmeyer-type Modification of Some Discrete Approximation Operators

In [10], for continuous functions f from the domain of certain discrete operators Ln the inequalities are proved concerning the modulus of continuity of Lnf . Here we present analogues of the results obtained for the Durrmeyer-type modification ̃ Ln of Ln. Moreover, we give the estimates of the rate of convergence of ̃ Lnf in Hölder-type norms

Approximation by Chlodowsky type Jakimovski-Leviatan operators

s at ICCAM 2012 Approximation by Chlodowsky type Jakimovski-Leviatan operators Ibrahim BÜYÜKYAZICI Ankara University Tandogan, Ankara Turkey [email protected] Joint work with: H. TANBERKAN, Ç.ATAKUT, S. KIRCI SERENBAY We introduce a generalization of the Jakimovski-Leviatan operators constructed by A.Jakimovski and D. Leviatan and the theorems on convergence and the degree of convergence a...