(λ, ψ)-Bernstein-Kantorovich operators
In this article, we introduce a new family of (λ,ψ)\left(\lambda ,\psi )-Bernstein-Kantorovich operators which depends on a parameter λ\lambda , derived from the basis functions of Bézier curves and an integrable function ψ\psi .
Aktuğlu Hüseyin +3 more
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On the generalized Mellin integral operators
In this study, we give a modification of Mellin convolution-type operators. In this way, we obtain the rate of convergence with the modulus of the continuity of the mmth-order Mellin derivative of function ff, but without the derivative of the operator ...
Topuz Cem, Ozsarac Firat, Aral Ali
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Approximation of functions with linear positive operators which fix {1, φ} and {1, φ2}
In this manuscript, linear and positive operators described on bounded and unbounded intervals that fix the function sets {1, φ} and {1, φ2} such that φ ∈ C[0, 1] are presented. Then we present different types of operators by choosing different functions
Usta Fuat
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Rate of Convergence for Ibragimov-Gadjiev-Durrmeyer Operators
The present paper deals with the rate of convergence of the general class of Durrmeyer operators, which are generalization of Ibragimov-Gadjiev operators. The special cases of the operators include somewell known operators as particular cases viz.
Acar Tuncer
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Λ²-statistical convergence and its application to Korovkin second theorem [PDF]
In this paper, we use the notion of strong (N, λ²)−summability to generalize the concept of statistical convergence. We call this new method a λ²−statistical convergence and denote by S λ₂ the set of sequences which are λ²−statistically convergent.
LOKU, Valdete, BRAHA , Naim L.
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Approximation Properties of Ibragimov-Gadjiev-Durrmeyer Operators on Lp (ℝ+)
We deal with the approximation properties of a new class of positive linear Durrmeyer type operators which offer a reconstruction of integral type operators including well known Durrmeyer operators.
Ulusoy Gülsüm, Aral Ali
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Richards's curve induced Banach space valued multivariate neural network approximation. [PDF]
Anastassiou GA, Karateke S.
europepmc +1 more source
On the degree of approximation by new Durrmeyer type operators 1 [PDF]
In this paper, we define a new kind of positive linear operators and study basic properties as well as Voronovskaya type results. In the last section of this paper we establish the error estimation for simultaneous approximation in terms of higher order ...
Suresh P Singh, Naokant Deo
core
Rate of convergence of Szász-beta operators based on q-integers
The purpose of this paper is to establish the rate of convergence in terms of the weighted modulus of continuity and Lipschitz type maximal function for the q-Szász-beta operators. We also study the rate of A-statistical convergence.
Gupta Pooja, Agrawal Purshottam Narain
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Korovkin type theorem in the space $C_{b}[0,\infty)$: Dedicated to Professor Gheorghe Coman on the occasion of his 80th anniversary [PDF]
A Korovkin type theorem is established in the space $C_{b}[0,\infty)$ of all continuous and bounded functions on $[0,\infty)$ for a sequence of positive linear operators, the approximation error being estimated with the aid of the usual modulus of ...
FINTA, Zoltán
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