On approximation by modified Bernstein polynomials.
Singh, Suresh P., Prasad, Govind (1985)
Publications de l'Institut Mathématique. Nouvelle Série
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Singh, Suresh P., Prasad, Govind (1985)
Publications de l'Institut Mathématique. Nouvelle Série
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Singh, Suresh Prasad (1987)
Publications de l'Institut Mathématique. Nouvelle Série
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Agrawal, P.N., Gupta, Vijay, Sahai, A. (1989)
Publications de l'Institut Mathématique. Nouvelle Série
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Lupaş, Alexandru (1986)
Publications de l'Institut Mathématique. Nouvelle Série
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P. N. Agrawal, Vijay Gupta (1992)
Annales Polonici Mathematici
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We prove a local saturation theorem in ordinary approximation for combinations of Durrmeyer's integral modification of Bernstein polynomials.
Ilija Lazarević, Alexandru Lupas (1975)
Publications de l'Institut Mathématique
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Nina A. Yerzakova (1997)
Matematički Vesnik
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Heiner Gonska, Radu Păltănea (2010)
Czechoslovak Mathematical Journal
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We introduce and study a one-parameter class of positive linear operators constituting a link between the well-known operators of S. N. Bernstein and their genuine Bernstein-Durrmeyer variants. Several limiting cases are considered including one relating our operators to mappings investigated earlier by Mache and Zhou. A recursion formula for the moments is proved and estimates for simultaneous approximation of derivatives are given.
Górzeńska, M., Rempulska, L. (1994)
Publications de l'Institut Mathématique. Nouvelle Série
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Vlastimil Pták (1958)
Czechoslovak Mathematical Journal
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Xiao-Ming Zeng, Vijay Gupta (2009)
Open Mathematics
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The pointwise approximation properties of the Bézier variant of the MKZ-Kantorovich operators for α ≥ 1 have been studied in [Comput. Math. Appl., 39 (2000), 1-13]. The aim of this paper is to deal with the pointwise approximation of the operators for the other case 0 < α < 1. By means of some new techniques and new inequalities we establish an estimate formula on the rate of convergence of the operators for the case 0 < α < 1. In the end we propose the q-analogue of...
Jemal Peradze (2004)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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The initial boundary value problem for a beam is considered in the Timoshenko model. Assuming the analyticity of the initial conditions, it is proved that the problem is solvable throughout the time interval. After that, a numerical algorithm, consisting of three steps, is constructed. The solution is approximated with respect to the spatial and time variables using the Galerkin method and a Crank–Nicholson type scheme. The system of equations obtained by discretization is solved by...