The Voronovskaja theorem for some linear positive operators defined by infinite sum [PDF]
Creative Mathematics and Informatics, 2011 The main goal of this paper is to establish a Voronovskaja type theorem for the Szasz-Mirakjan-Schurer operators. As a particular case, we get also the Voronovskaja type theorem for the well known Mirakjan-Favard-Szasz operators.
DAN MICLAUS, OVIDIU T. POP
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A summation-integral type modification of Szasz-Mirakjan-Stancu operators
Journal of Numerical Analysis and Approximation Theory, 2016 In this paper we introduce a summation-integral type modification of Szasz-Mirakjan-Stancu operators. Calculation of moments, density theorem, a direct result and a Voronovskaja-type result are obtained for the operators.
Vishnu Narayan Mishra +2 more
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International Journal of Mathematics and Mathematical Sciences, 2007 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 note on the convergence of Phillips operators by the sequence of functions via q-calculus
Demonstratio Mathematica, 2022 The basic aim of this study is to include nonnegative real parameters to allow for approximation findings of the Stancu variant of Phillips operators.
Kiliçman Adem +2 more
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Convergence and Voronovskaja-type theorems for derivatives of generalized Baskakov operators
Open Mathematics, 2008 Abstract In the present paper our aim is to establish convergence and Voronovskaja-type theorems for first derivatives of generalized Baskakov operators for functions of one and two variables in exponential and polynomial weight spaces.
Wafi Abdul, Khatoon Salma
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A Voronovskaja-Type Theorem for a Kind of Durrmeyer-Bernstein-Stancu Operators
Gazi University Journal of Science, 2019 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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Saturation of iterations of multiplier operators in Banach spaces [PDF]
, 1991 紀要論文http://purl.org/coar/resource_type ...
Nishishiraho, Toshihiko +1 more
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Approximation by bivariate generalized Bernstein–Schurer operators and associated GBS operators
Advances in Difference Equations, 2020 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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The generalization of Voronovskaja's theorem for a class of linear and positive operators
Journal of Numerical Analysis and Approximation Theory, 2005 In this paper we generalize Voronovskaja's theorem for a class of linear and positive operators, and then, through particular cases, we obtain statements verified by the Bernstein, Schurer, Stancu, Kantorovich and Durrmeyer operators.
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Voronovskaja type theorem for the Lupaş q-analogue of the Bernstein operators
Mathematical Communications, 2012 In this paper, we estimate the third and the fourth order central moments for the difference of the Lupaş q-analogue of the Bernstein operator and the limit q-Lupaş operator. We also prove a quantitative variant of Voronovskaja's theorem for $R_{n,q}$.
Mahmudov, Nazim Idrisoglu +1 more
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