About some linear operators defined by infinite sums.
Pop, Ovidiu T. (2007)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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Pop, Ovidiu T. (2007)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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Căbulea, Lucia A., Todea, Mihaela (2002)
Acta Universitatis Apulensis. Mathematics - Informatics
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Căbulea, Lucia A., Todea, Mihaela (2002)
Acta Universitatis Apulensis. Mathematics - Informatics
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Zbigniew Walczak (2008)
Czechoslovak Mathematical Journal
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The actual construction of the Szász-Mirakyan operators and its various modifications require estimations of infinite series which in a certain sense restrict their usefulness from the computational point of view. Thus the question arises whether the Szász-Mirakyan operators and their generalizations cannot be replaced by a finite sum. In connection with this question we propose a new family of linear positive operators.
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...
Pop, Ovidiu T., Farcas, Mircea (2009)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Lucyna Rempulska, Mariola Skorupka (2006)
Archivum Mathematicum
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This paper is motivated by Kirov results on generalized Bernstein polynomials given in (Kirov, G. H., A generalization of the Bernstein polynomials, Math. Balk. New Ser. bf 6 (1992), 147–153.). We introduce certain modified Meyer-König and Zeller operators in the space of differentiable functions of two variables and we study approximation properties for them. Some approximation properties of the Meyer-König and Zeller operators of differentiable functions of one variable are given in...