Results 111 to 119 of about 1,030 (119)
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Asymptotic formulas for generalized Baskakov‐Durrmeyer operators
Mathematical Methods in the Applied Sciences, 2019The paper deals with general Baskakov‐Durrmeyer operators containing several previous definitions as special cases. We construct a new sequence of BaskakovDurrmeyer operators depending on a parameter γ. We present a quantitative Voronovskaya type theorem in terms of weighted modulus of smoothness using sixth‐order central moment.
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Rate of Approximation for Certain Durrmeyer Operators
gmj, 2006Abstract In the present note, we study a certain Durrmeyer type integral modification of Bernstein polynomials. We investigate simultaneous approximation and estimate the rate of convergence in simultaneous approximation.
Gupta, Vijay +2 more
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On the modification of the Szaśz–Durrmeyer operators
Georgian Mathematical Journal, 2016Abstract In this paper we consider the modification of Szász–Durrmeyer operators based on the Jain basis function. Voronovskaya-type estimates of point-wise convergence along with its quantitative version based on the weighted modulus of smoothness are given. Moreover, a direct approximation theorem for the operators is proved.
Aral, Ali, Deniz, Emre, Gupta, Vijay
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Approximation by Durrmeyer type Jakimoski–Leviatan operators
Mathematical Methods in the Applied Sciences, 2015In this study, we introduce the Durrmeyer type Jakimoski–Leviatan operators and examine their approximation properties. We study the local approximation properties of these operators. Further, we investigate the convergence of these operators in a weighted space of functions and obtain the approximation properties.
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Some approximation properties of q-Durrmeyer operators
Applied Mathematics and Computation, 2008zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Szász–Durrmeyer Operators and Approximation
2020The Szasz–Durrmeyer operators were introduced three and half decades ago in order to approximate integrable functions on the positive real axis. Several approximation properties of these operators have been discussed by researchers. In the present paper, we discuss some of the approximation properties of these operators in terms of weighted modulus of ...
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Approximation Properties by Bernstein–Durrmeyer Type Operators
Complex Analysis and Operator Theory, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On certain Durrmeyer type q Baskakov operators
ANNALI DELL'UNIVERSITA' DI FERRARA, 2010zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Bernstein-Durrmeyer type operators preserving linear functions
2010Many well-known approximating operators preserve linear functions. However, the operators introduced by the first author [Soochow J. Math. 23, No. 1, 115--118 (1997; Zbl 0869.41016)], as well as by the first author and \textit{P. Maheshwari} [Riv. Mat. Univ. Parma (7) 2, 9--21 (2003; Zbl 1050.41015)] do not preserve the test function \(e_1\).
Gupta, V., Duman, O.
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