A generalization of Durrmeyer type.
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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Pop, Ovidiu T. (2007)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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Vijay Gupta, G. S. Srivastava (1996)
Annales Polonici Mathematici
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We define a new kind of Durrmeyer-type summation-integral operators and study a global direct theorem for these operators in terms of the Ditzian-Totik modulus of smoothness.
Galakhov, E. (1997)
Memoirs on Differential Equations and Mathematical Physics
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Ryotaro Sato (1976)
Colloquium Mathematicae
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Ryotaro Sato (1976)
Colloquium Mathematicae
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Căbulea, Lucia A., Aldea, Mihaela (2003)
Acta Universitatis Apulensis. Mathematics - Informatics
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Beatriz Margolis (1972)
Annales Polonici Mathematici
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Luis Bernal-González (2007)
Studia Mathematica
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We introduce the concept of disjoint hypercyclic operators. These are operators performing the approximation of any given vectors with a common subsequence of iterates applied on a common vector. The notion is extended to sequences of operators, and applied to composition operators and differential operators on spaces of analytic functions.
S.C. Arora, Ramesh Kumar (1981)
Publications de l'Institut Mathématique
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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...