Approximation properties of certain linear positive operators in exponential weighted spaces of functions of two variables
Zbigniew Walczak (2003)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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Zbigniew Walczak (2003)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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Zbigniew Walczak (2005)
Mathematica Slovaca
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Walczak, Z. (2005)
Acta Mathematica Universitatis Comenianae. New Series
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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.
Izgi, Aydin (2009)
General Mathematics
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Fernando Cobos, Oscar Domínguez, Antón Martínez (2014)
Colloquium Mathematicae
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We investigate compact operators between approximation spaces, paying special attention to the limit case. Applications are given to embeddings between Besov spaces.
Lucyna Rempulska, Mariola Skorupka (1997)
Publicacions Matemàtiques
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In this note we give the Voronovskaya theorem for some linear positive operators of the Szasz-Mirakjan type defined in the space of functions continuous on [0,+∞) and having the exponential growth at infinity. Some approximation properties of these operators are given in [3], [4].
Căbulea, Lucia A., Todea, Mihaela (2003)
Acta Universitatis Apulensis. Mathematics - Informatics
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