Results 1 to 10 of about 7,028,326 (133)
Approximation properties of λ-Kantorovich operators [PDF]
Journal of Inequalities and Applications, 2018 In the present paper, we study a new type of Bernstein operators depending on the parameter λ∈[−1,1] $\lambda\in[-1,1]$. The Kantorovich modification of these sequences of linear positive operators will be considered.
Ana-Maria Acu +2 more
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Approximation properties of λ-Bernstein operators [PDF]
Journal of Inequalities and Applications, 2018 In this paper, we introduce a new type λ-Bernstein operators with parameter λ∈[−1,1] $\lambda\in[-1,1]$, we investigate a Korovkin type approximation theorem, establish a local approximation theorem, give a convergence theorem for the Lipschitz ...
Qing-Bo Cai, Bo-Yong Lian, Guorong Zhou
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Higher order Kantorovich-type Szász–Mirakjan operators
Journal of Inequalities and Applications, 2022 In this paper, we define new higher order Kantorovich-type Szász–Mirakjan operators, we give some approximation properties of these operators in terms of various moduli of continuity. We prove a local approximation theorem, a Korovkin-type theorem, and a
Pembe Sabancigil +2 more
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The Voronovskaja type theorem for an extension of Szász-Mirakjan operators
Demonstratio Mathematica, 2012 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.
Dan Miclăuş +2 more
exaly +3 more sources
Complete asymptotic expansions related to conjecture on a Voronovskaja-type theorem
Journal of Mathematical Analysis and Applications, 2018 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mircea Ivan, Ioan Gavrea
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The Bernstein Voronovskaja-type theorem for positive linear approximation operators
Journal of Approximation Theory, 2015 The main result of the paper is a general Bernstein-Voronovskaja property: if \(\{ L_{n} \}_{n\geq 1},\) \(L_{n} : C[0,1] \to C[0,1],\) is a sequence of positive linear approximation operators, i.e., \(L_{n}(f;x) \to f(x)\) as \(n \to \infty\) for \(x \in [0,1],\) and \[ R(L_{n},f,q,x) := L_{n}(f;x) - \sum_{i=0}^{q} L_{n}((\cdot - x)^{i};x) \frac{f^{(i)
Mircea Ivan, Ioan Gavrea
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Asymptotic formula in simultaneous approximation for certain Ismail-May-Baskakov operators
Journal of Numerical Analysis and Approximation Theory, 2021 In the present paper, we introduce a modification of Ismail-May operators having weights of Baskakov basis functions. We estimate weighted Korovkin's theorem and difference estimates between two operators and establish a Voronovskaja type asymptotic ...
Vijay Gupta, Michael Th. Rassias
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Investigation of the Asymptotic Behavior of Generalized Baskakov-Durrmeyer-Stancu Type Operators
Cumhuriyet Science Journal, 2022 In this manuscript, we firstly find the Korovkin test functions for the Baskakov operators, secondly, we find the generalized Baskakov-Durrmeyer-Stancu type operators.
Ülkü Dinlemez Kantar +2 more
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On the rate of convergence of modified \(\alpha\)-Bernstein operators based on q-integers
Journal of Numerical Analysis and Approximation Theory, 2022 In the present paper we define a q-analogue of the modified a-Bernstein operators introduced by Kajla and Acar (Ann. Funct. Anal. 10 (4) 2019, 570-582). We study uniform convergence theorem and the Voronovskaja type asymptotic theorem.
Purshottam Agrawal +2 more
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Modified Bernstein–Durrmeyer Type Operators
Mathematics, 2022 We constructed a summation–integral type operator based on the latest research in the linear positive operators area. We establish some approximation properties for this new operator.
Arun Kajla, Dan Miclǎuş
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