Results 21 to 30 of about 114 (89)
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
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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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Approximation properties of multivariate exponential sampling series
Karpatsʹkì Matematičnì Publìkacìï, 2021 In this paper, we generalize the family of exponential sampling series for functions of $n$ variables and study their pointwise and uniform convergence as well as the rate of convergence for the functions belonging to space of $\log$-uniformly continuous
S. Kurşun +3 more
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Parametric Extension of a Certain Family of Summation-Integral Type Operators
Cumhuriyet Science Journal, 2023 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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q-Parametric Bleimann Butzer and Hahn Operators
Journal of Inequalities and Applications, 2008 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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On Stancu-Type Generalization of Modified p,q-Szász-Mirakjan-Kantorovich Operators
Journal of Function Spaces, 2021 In the present article, we construct p,q-Szász-Mirakjan-Kantorovich-Stancu operators with three parameters λ,α,β. First, the moments and central moments are estimated.
Yong-Mo Hu +3 more
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Journal of Numerical Analysis and Approximation Theory, 2012 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
Journal of Inequalities and Applications, 2016 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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Novel Bernstein‐Kantorovich Type Operators
Mathematical Methods in the Applied Sciences, Volume 49, Issue 16, Page 17069-17095, 15 November 2026.ABSTRACT In this paper, we introduce a novel class of Bernstein‐Kantorovich operators, denoted as K β n , θ $$ {K}_{\beta}^{n,\theta } $$ , parameterized by 0 < β < 1 $$ 0<\beta <1 $$ and θ > 0 $$ \theta >0 $$ . We first derive a recurrence formula that facilitates the computation of moments and central moments and provide explicit expressions for K β ...
Pembe Sabancigil, Nazim I. Mahmudov
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