Results 21 to 30 of about 135 (107)
Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022 In this article, we introduce Stancu‐type modification of generalized Baskakov‐Szász operators. We obtain recurrence relations to calculate moments for these new operators. We study several approximation properties and q‐statistical approximation for these operators.
Qing-Bo Cai +3 more
wiley +1 more source
Approximation Properties of a New Gamma Operator
Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022 This paper deals with a kind of modification of the classical Gamma operators defined on the semiaxis which holds fixed functions 1 and e−μx (μ > 0). We study the uniform approximation effect and the direct results. We also investigate the weighted A‐statistical convergence. Finally, the Voronovskaja type asymptotic formula is given.
Jieyu Huang +2 more
wiley +1 more source
Approximation Properties of (p, q)‐Szász‐Mirakjan‐Durrmeyer Operators
Journal of Function Spaces, Volume 2021, Issue 1, 2021., 2021 In this article, we introduce a new Durrmeyer‐type generalization of (p, q)‐Szász‐Mirakjan operators using the (p, q)‐gamma function of the second kind. The moments and central moments are obtained. Then, the Voronovskaja‐type asymptotic formula is investigated and point‐wise estimates of these operators are studied.
Zhi-Peng Lin +3 more
wiley +1 more source
Approximation by Bézier Variant of Baskakov‐Durrmeyer‐Type Hybrid Operators
Journal of Function Spaces, Volume 2021, Issue 1, 2021., 2021 We give a Bézier variant of Baskakov‐Durrmeyer‐type hybrid operators in the present article. First, we obtain the rate of convergence by using Ditzian‐Totik modulus of smoothness and also for a class of Lipschitz function. Then, weighted modulus of continuity is investigated too.
Lahsen Aharouch +3 more
wiley +1 more source
Some approximation properties of new Kantorovich type q-analogue of Balázs–Szabados operators
Journal of Inequalities and Applications, 2020 In this paper, we define a new Kantorovich type q-analogue of the Balázs–Szabados operators, we give some local approximation properties of these operators and prove a Voronovskaja type theorem.
Hayatem Hamal, Pembe Sabancigil
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On approximation properties of some non-positive Bernstein-Durrmeyer type operators
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2023 In this paper we shall introduce a new type of Bernstein Durrmeyer operators which are not positive on the entire interval [0, 1]. For these operators we will study the uniform convergence on all continuous functions on [0, 1] as well as a result given ...
Vasian Bianca Ioana
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Some approximation properties of new ( p , q ) $( p,q ) $ -analogue of Balázs–Szabados operators
Journal of Inequalities and Applications, 2021 In this paper, a new ( p , q ) $( p,q ) $ -analogue of the Balázs–Szabados operators is defined. Moments up to the fourth order are calculated, and second order and fourth order central moments are estimated.
Hayatem Hamal, Pembe Sabancigil
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Asymptotic expansions and Voronovskaja type theorems for the multivariate neural network operators
Mathematical Foundations of Computing, 2020 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Costarelli, Danilo, Vinti, Gianluca
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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)
Ioan Gavrea, Mircea Ivan
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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.
Pop, Ovidiu T. +2 more
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