20 research outputs found
Quantitative estimates for a certain bivariate Chlodowsky-Szasz-Kantorovich type operators
In this paper, we introduce a bivariate Kantorovich variant of the combination of Chlodowsky and Szasz type operators and study local approximation properties of these operators. We estimate the approximation order in terms of Peetre’s K-functional and partial moduli of continuity. We also give some numerical error estimates and illustrations
Approximation by Bernstein-Chlodowsky operators of max-product kind
We dene the max-product (nonlinear) Bernstein-Chlodowsky operators andobtain some upper estimates of approximation error for some subclasses of functions. Wealso investigate the shape-preserving properties for these operators
On a general class of q-rational type operators
In this study, we define a general class of rational type operators based on q-calculus and investigate the weighted approximation properties of these operators by using A-statistical convergence. We also estimate the rates of A-statistical convergence of these operators by modulus of continuity and Petree's K-functional. The operators to be introduced, include some well known q-operators so our results are true in a large spectrum of these operators
On simultaneous approximation for some modified Bernstein-type operators
We study the simultaneous approximation for a certain variant of Bernstein-type operators
Quantitative estimates for a certain bivariate Chlodowsky-Szasz-Kantorovich type operators
In this paper, we introduce a bivariate Kantorovich variant of the
combination of Chlodowsky and Szasz type operators and study local
approximation properties of these operators. We estimate the
approximation order in terms of Peetre's K-functional and partial moduli
of continuity. We also give some numerical error estimates and
illustrations
Approximation by (p,q)-Analogue of Balazs-Szabados Operators
In the present paper, we introduce a generalization of Balazs-Szabados
operators by means of (p,q)-calculus. We give the rate of convergence of
Balazs-Szabados operators on based (p,q)-integrers by using Lipschitz
class function and the Peetre's K-functional. We give the degree of
asymptotic approximation by means of Voronoskaja type theorem. Further,
we give some comparisons associated the convergence of Balazs-Szabados,
q- Balazs-Szabados and (p,q)-Balazs-Szabados operators to certain
functions by illustrations. Moreover, we investigate the properties of
the weighted approximation for these operators
On Kantorovich process of a sequence of the generalized linear positive operators
WOS: 000256972400005We define the Kantorovich variant of the generalized linear positive operators introduced by Ibragimov and Gadjiev in 1970. We investigate direct approximation result for these operators on p-weighted integrable function spaces and also estimate their rate of convergence for absolutely continuous functions having a derivative coinciding a.e., with a function of bounded variation
Approximation by Bernstein-Chlodowsky operators of max-product kind
We define max-product (nonlinear) Bernstein-Chlodowsky operators and
obtain some upper estimates of approximation error for some subclasses
of functions. We also investigate the shape-preserving properties for
these operators