-parametric Bleimann Butzer and Hahn operators.
Mahmudov, N.I., Sabancıgil, P. (2008)
Journal of Inequalities and Applications [electronic only]
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Mahmudov, N.I., Sabancıgil, P. (2008)
Journal of Inequalities and Applications [electronic only]
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Vijay Gupta, Cristina Radu (2009)
Open Mathematics
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In the present paper we introduce a q-analogue of the Baskakov-Kantorovich operators and investigate their weighted statistical approximation properties. By using a weighted modulus of smoothness, we give some direct estimations for error in case 0 < q < 1.
Luming Shen, Kui Fang (2011)
Czechoslovak Mathematical Journal
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It is well known that every can be expanded to an infinite Lüroth series in the form of where for all . In this paper, sets of points with some restrictions on the digits in Lüroth series expansions are considered. Mainly, the Hausdorff dimensions of the Cantor sets are completely determined, where is an integer-valued function defined on , and as .
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.
Chapman, Robin (2002)
International Journal of Mathematics and Mathematical Sciences
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Sharma, Honey (2009)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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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.
Guo, Victor J.W., Zeng, Jiang (2005)
The Electronic Journal of Combinatorics [electronic only]
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