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.
Soares, Marcio G. (2000)
Annals of Mathematics. Second Series
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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.
Smith, B., Taylor, W. E. jun. (1990)
International Journal of Mathematics and Mathematical Sciences
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Mahmudov, N.I., Sabancıgil, P. (2008)
Journal of Inequalities and Applications [electronic only]
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Guo, Victor J.W., Zeng, Jiang (2005)
The Electronic Journal of Combinatorics [electronic only]
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Sharma, Honey (2009)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Taylor, Willie E.jun., Sun, Minghua (1995)
Portugaliae Mathematica
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Karima Amoura, Christine Bernardi, Nejmeddine Chorfi (2006)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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We consider the Stokes problem provided with non standard boundary conditions which involve the normal component of the velocity and the tangential components of the vorticity. We write a variational formulation of this problem with three independent unknowns: the vorticity, the velocity and the pressure. Next we propose a discretization by spectral element methods which relies on this formulation. A detailed numerical analysis leads to optimal error estimates for the three unknowns...
Mei-Ying Ren, Xiao-Ming Zeng (2013)
Czechoslovak Mathematical Journal
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Very recently the -Bernstein-Schurer operators which reproduce only constant function were introduced and studied by C. V. Muraru (2011). Inspired by J. P. King, Positive linear operators which preserve (2003), in this paper we modify -Bernstein-Schurer operators to King type modification of -Bernstein-Schurer operators, so that these operators reproduce constant as well as quadratic test functions and study the approximation properties of these operators. We establish a convergence...