Results 61 to 70 of about 537 (141)
Approximation properties of modified (p, q)-Szász-Mirakyan-Kantorovich operators
In this paper, we introduce a new kind of modified (p, q)-Szász-Mirakyan-Kantorovich operators based on (p, q)-calculus. Next, the moments computation formulas, the second and fourth order central moments computation formulas and other quantitative ...
Zhongbin Zheng +4 more
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The Voronovskaja type theorem for an extension of Szász-Mirakjan operators
Abstract Recently, C. Mortici defined a class of linear and positive operators depending on a certain function ϕ, which generalize the well known Szász-Mirakjan operators. For these generalized operators we establish a Voronovskaja type theorem, the uniform convergence and the order of approximation, using the modulus of continuity.
Pop, Ovidiu T. +2 more
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Complete asymptotic expansions related to conjecture on a Voronovskaja-type theorem
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Ioan Gavrea, Mircea Ivan
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Asymptotic expansions and Voronovskaja type theorems for the multivariate neural network operators
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Costarelli, Danilo, Vinti, Gianluca
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Using the method of Jakimovski and Leviatan from their work in 1969, we construct a general class of linear positive operators. We study the convergence, the evaluation for the rate of convergence in terms of the first modulus of smoothness and we give a
Ovidiu T. Pop
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A Quantitative Variant of Voronovskaja's Theorem for King-Type Operators
In this note we establish a quantitative Voronovskaja theorem for modified Bernstein polynomials using the first order Ditzian-Totik modulus of smoothness.
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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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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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Approximation by bivariate generalized Bernstein–Schurer operators and associated GBS operators
We construct the bivariate form of Bernstein–Schurer operators based on parameter α. We establish the Voronovskaja-type theorem and give an estimate of the order of approximation with the help of Peetre’s K-functional of our newly defined operators ...
S. A. Mohiuddine
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Quadrature rules associated with Baskakov quasi-interpolants
Quadrature rules on the positive real half-line obtained by integrating the Baskakov quasi-interpolants described in \cite{MM, Sab7} are constructed and their asymptotic convergence orders are studied.
Sablonnière, Paul
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