In this article, we introduce Stancu type generalization of Baskakov–Durrmeyer operators by using inverse Pólya–Eggenberger distribution. We discuss some basic results and approximation properties. Moreover, we study the statistical convergence for these operators.
Our aim is to define modified Sz?sz type operators involving Charlier
polynomials and obtain some approximation properties. We prove some results
on the order of convergence by using the modulus of smoothness and Peetre?s
K-functional. We also establish Voronoskaja type theorem for these
operators. Moreover, we prove a Korovkin type approximation theorem via
q-statistical convergence.
AbstractIn this paper, we give some approximation properties by
Stancu–Chlodowsky type λ-Bernstein operators in the polynomial weighted space and
obtain the convergence properties of these operators by using Korovkin’s theorem. We also establish the direct result and the Voronovskaja type asymptotic formula.
In the present paper, we introduce the generalized form of (p; q)-analogue of the Szász-Beta operators with Stancu type parameters. We derived the local approximation properties of these operators and obtained the convergence rate and weighted approximation.
By using (p; q)-calculus, we introduce the Kings type modication of (p; q)- Gamma operators, which reproduce the test function x 2 . Then, we estimate the rate of convergence for the constructed operators by using the modulus of continuity in terms of a Lipschitz class function and by means of Peetres K-functionals based on Korovkin theorem
We introduce modified (p, q)-Bernstein-Durrmeyer operators. We discuss approximation properties for these operators based on Korovkin type approximation theorem and compute the order of convergence using usual modulus of continuity. We also study the local approximation property of the sequence of positive linear operators D * n,p,q and compute the rate of convergence for the function f belonging to the class Lip M (γ).
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