Generalizations 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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Căbulea, Lucia A., Todea, Mihaela (2002)
Acta Universitatis Apulensis. Mathematics - Informatics
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Aral, Ali, Doğru, Ogün (2007)
Journal of Inequalities and Applications [electronic only]
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Pop, Ovidiu T. (2007)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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Octavian Agratini (1998)
Archivum Mathematicum
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By starting from a recent paper by Campiti and Metafune [7], we consider a generalization of the Baskakov operators, which is introduced by replacing the binomial coefficients with other coefficients defined recursively by means of two fixed sequences of real numbers. In this paper, we indicate some of their properties, including a decomposition into an expression which depends linearly on the fixed sequences and an estimation of the corresponding order of approximation, in terms of...
Nazim Mahmudov, Havva Kaffaoğlu (2010)
Open Mathematics
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In the present paper, we introduce the q-Szász-Durrmeyer operators and justify a local approximation result for continuous functions in terms of moduli of continuity. We also discuss a Voronovskaya type result for the q-Szász-Durrmeyer operators.
Nazim Mahmudov (2010)
Open Mathematics
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In the present paper we introduce and investigate weighted statistical approximation properties of a q-analogue of the Baskakov and Baskakov-Kantorovich operators. By using a weighted modulus of smoothness, we give some direct estimations for error in the case 0 < q < 1.