Results 41 to 50 of about 499 (123)
Complete asymptotic expansions related to conjecture on a Voronovskaja-type theorem
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Ioan Gavrea, Mircea Ivan
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q-Parametric Bleimann Butzer and Hahn Operators
We introduce a new q-parametric generalization of Bleimann, Butzer, and Hahn operators in C1+x*[0,∞). We study some properties of q-BBH operators and establish the rate of convergence for q-BBH operators.
P. Sabancıgil, N. I. Mahmudov
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Parametric Extension of a Certain Family of Summation-Integral Type Operators
In this paper, we introduce a parametric extension of a certain family of summation-integral type operators on the interval [0,∞). Firstly, we obtain test functions and central moments. Secondly, we investigate weighted approximation properties for these
İsmet Yüksel, Nadire Fulda Odabaşı
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Convergence and Voronovskaja-type theorems for derivatives of generalized Baskakov operators
The authors prove some theorems the convergence of the first derivatives of generalized Baskakov operators for functions of one and two variables in polynomial and exponential weight spaces. Some Voronovskaja-type theorems are also presented.
Wafi Abdul, Khatoon Salma
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In this paper we demonstrate a Voronovskaja-type theorem and approximation theorem for a class of modified operators and Generalized Boolean Sum (GBS) associated operators obtained (see (3)) from given operators.
Ovidiu T. Pop
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Dunkl generalization of q-Szász-Mirakjan Kantorovich operators which preserve some test functions
In this paper we introduce q-Szász-Mirakjan-Kantorovich operators generated by a Dunkl generalization of the exponential function and we propose two different modifications of the q-Szász-Mirakjan-Kantorovich operators which preserve some test functions.
Mohammad Mursaleen +2 more
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Simultaneous approximation by neural network operators with applications to Voronovskaja formulas
Abstract In this paper, we considered the problem of the simultaneous approximation of a function and its derivatives by means of the well‐known neural network (NN) operators activated by the sigmoidal function. Other than a uniform convergence theorem for the derivatives of NN operators, we also provide a quantitative estimate for the order of ...
Marco Cantarini, Danilo Costarelli
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A Voronovskaja-Type Theorem for a Kind of Durrmeyer-Bernstein-Stancu Operators
In this paper, we study on a Durrmeyer variant of Bernstein-Stancu operators. We give a Voronovskaja-type theorem for these type operators.
DINLEMEZ KANTAR, Ulku, ERGELEN, Gizem
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Some approximation properties of ( p , q ) $(p,q)$ -Bernstein operators
This paper is concerned with the ( p , q ) $(p,q)$ -analog of Bernstein operators. It is proved that, when the function is convex, the ( p , q ) $(p,q)$ -Bernstein operators are monotonic decreasing, as in the classical case.
Shin Min Kang +4 more
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Stancu type q-Bernstein operators with shifted knots
In the present paper, Stancu type generalizations of the q-analog of Lupaş Bernstein operators with shifted knots are introduced. Some approximation results and rate of convergence for these operators are investigated.
M. Mursaleen +3 more
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