Results 21 to 30 of about 336,700 (138)
Rate of Approximation for Modified Lupaş-Jain-Beta Operators
The main intent of this paper is to innovate a new construction of modified Lupaş-Jain operators with weights of some Beta basis functions whose construction depends on σ such that σ0=0 and infx∈0,∞σ′x≥1.
M. Qasim +4 more
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On ( p , q ) $(p,q)$ -analogue of two parametric Stancu-Beta operators [PDF]
Our purpose is to introduce a two-parametric ( p , q ) $(p, q)$ -analogue of the Stancu-Beta operators. We study approximating properties of these operators using the Korovkin approximation theorem and also study a direct theorem.
Mohammad Mursaleen +2 more
doaj +3 more sources
Approximation Properties of a New Class of Beta-Type Szász–Mirakjan Operators
We use the new variant of Szász–Mirakjan operators to construct a generalized version of Szász-beta type operators and obtain auxiliary lemmas. We present the weighted approximation theorems and, by using Peetre’s K-function, the local approximation ...
Md. Nasiruzzaman +2 more
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Certain approximation properties of Brenke polynomials using Jakimovski–Leviatan operators
In this article, we establish the approximation by Durrmeyer type Jakimovski–Leviatan operators involving the Brenke type polynomials. The positive linear operators are constructed for the Brenke polynomials, and thus approximation properties for these ...
Shahid Ahmad Wani +2 more
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A Kantorovich-Stancu Type Generalization of Szasz Operators including Brenke Type Polynomials [PDF]
We introduce a Kantorovich-Stancu type modification of a generalization of Szasz operators defined by means of the Brenke type polynomials and obtain approximation properties of these operators.
Rabia Aktaş +2 more
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Approximation properties of certain modified Szasz-Mirakyan operators [PDF]
We introduce certain modified Szasz - Mirakyan operators in exponential weighted spaces of functions of one variable. We give theorems on the degree of approximation and the Voronovskaya type theorem.
Lucyna Rempulska, Zbigniew Walczak
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The current paper deals with a modified form of the Baskakov–Schurer–Szasz–Stancu operators which preserve e−2ax $e^{-2ax}$ for a>0 $a>0$. The uniform convergence of the modified operators is shown.
Melek Sofyalıoğlu, Kadir Kanat
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A Fubini polynomial-based generalization of Szász-Baskakov operators
This work contains a generalization of the Szász-Baskakov operators with the help of Fubini polynomials. Firstly, we get the rate of convergence of our new operators and then we find some approximation results.
Melek Sofyalıoğlu Aksoy +1 more
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The Voronovskaya theorem for some linear positive operators of functions of two variables
Summary: We give the Voronovskaya theorem for some operators \(L_{m,n}^{\{i\}}\) of the Szász-Mirakyan type defined for functions of two variables belonging to polynomial or exponential weighted spaces. Some approximation properties of these operators for functions of one variable are given in the references.
Rempulska, L., Skorupka, M.
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A Voronovskaya-type theorem for a certain nonlinear Bernstein operators [PDF]
The present paper concerns with the nonlinear Bernstein operators NBnf of the form (NB(n)f)(x) = Sigma(n)(k=0) P-n,P-k (x, f (k/n)), 0
Karslı, Harun, Altın, Hüseyin Erhan
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