Results 21 to 30 of about 7,041,693 (122)
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
Voronovskaja-type theorem for certain GBS operators [PDF]
, 2008 In this paper we will demonstrate a Voronovskaja-type theorem and approximation theorem for GBS operator associated to a linear positive ...
Pop, Ovidiu T., Ovidiu T. Pop
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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
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
doaj +1 more source
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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Voronovskaja-Type Quantitative Results for Differences of Positive Linear Operators
, 2021 We consider positive linear operators having the same fundamental functions and different functionals in front of them. For differences involving such operators, we obtain Voronovskaja-type quantitative results.
Gülen Başcanbaz-Tunca +2 more
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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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On the order of convergence of Voronovskaja-type formulas [PDF]
, 2010 In this work general quantitative estimates of Voronovskaja-type formulas in the space of functions of several variables that are twice continuously differentiable and in the space of functions with weighted second-order derivatives are ...
Tacelli, Cristian
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