Results 31 to 40 of about 455,815 (175)
Approximation by generalized Bernstein–Stancu operators
TURKISH JOURNAL OF MATHEMATICS, 2019 Summary: In this paper, we investigate approximation properties of the Stancu type generalization of the \(\alpha \)-Bernstein operator. We obtain a recurrence relation for moments and the rate of convergence by means of moduli of continuity. Also, we present Voronovskaya and Grüss-Voronovskaya type asymptotic results for these operators.
Nursel ÇETİN, Voichiţa Adriana RADU
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Genuine q-Stancu-Bernstein–Durrmeyer Operators
Symmetry, 2023 In the present paper, we introduce the genuine q-Stancu-Bernstein–Durrmeyer operators Znq,α(f;x). We calculate the moments of these operators, Znq,α(tj;x) for j=0,1,2, which follows a symmetric pattern. We also calculate the second order central moment Znq,α((t−x)2;x).
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A Stancu type extension of the Campiti-Metafune operator
Journal of Numerical Analysis and Approximation TheoryWe consider an extension of the Campiti-Metafune operator using a Stancu type technique. We study some properties of the new obtained operator.
Teodora Cătinaș
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Approximation by a complex q-Baskakov-Stancu operator in compact disks
, 2014 In this paper, we consider a complex q-Baskakov-Stancu operator and study some approximation properties. We give a quantitative estimate of the convergence, Voronovskaja-type result and exact order of approximation in compact ...
Ari, Didem Aydin, Ozden, Dilek Soylemez
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Durrmeyer-Stancu type operators
Journal of Numerical Analysis and Approximation Theory, 2010 Considering two given real parameters \(\alpha, \beta\) satisfying the conditions \(0\leq\alpha\leq\beta\), D. D. Stancu [7] constructed and studied the linear positive operators \(P^{(\alpha,\beta)}_m:C([0,1])\to C([0,1])\), defined for any \(f\in C([0,1])\) and any positive integer \(m\) by (1). In this paper we are dealing with the Durrmeyer form of
Ovidiu T. Pop, Dan Bărbosu
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Approximation properties of Bernstein-Stancu operators preserving e−2x [PDF]
, 2023 Bernstein-Stancu operators are one of the most powerful tool that can be used in approximation theory. In this manuscript, we propose a new construction of Bernstein-Stancu operators which preserve the constant and e?2x, x > 0.
Fuat Usta +5 more
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On a q-analogue of Stancu operators
Open Mathematics, 2010 Abstract This paper is concerned with a generalization in q-Calculus of Stancu operators. Involving modulus of continuity and Lipschitz type maximal function, we give estimates for the rate of convergence. A probabilistic approach is presented and approximation properties are established.
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Stancu type generalization of the Favard–Szàsz operators
Applied Mathematics Letters, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Çigdem Atakut, Ibrahim Büyükyazici
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Study of Sensitivity of Parameters of Bernstein–Stancu Operators [PDF]
Iranian Journal of Science and Technology, Transactions A: Science, 2019 This paper is aimed at studying sensitivity of parameters αand βappearing in the operators introduced by D.D. Stancu [11] in 1969. Results are established on the behavior the nodes used in Bernstein-Stancu polynomials and the nodes used in Bernstein polynomials and graphical presentations of them are generated. Alternate proof of uniform convergence of
Gandhi, R. B., Mishra, Vishnu Narayan
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Novel Bernstein‐Kantorovich Type Operators
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT In this paper, we introduce a novel class of Bernstein‐Kantorovich operators, denoted as Kβn,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 Kβn,θ(tm;x)$$ {K}_{\
Pembe Sabancigil, Nazim I. Mahmudov
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