References
- Charalambides , Ch.A . The q-Bernstein basis as a q-binomial distribution . J. Stat. Plan. Infer. , in press
- Ostrovska , S . 2007 . Positive linear operators generated by analytic functions . Proc. Indian Acad. Sci. , 117 ( 4 ) : 485 – 493 .
- Biedenharn , LC . 1989 . The quantum group SU q (2) and a q-analogue of the boson operators . J. Phys. A: Math. Gen. , 22 : L873 – L878 .
- Sun , C-P and Fu , H-C . 1989 . The q-deformed boson realization of the quantum group SU(n) q and its representations . J. Phys. A: Math. Gen. , 22 : L983 – L986 .
- Jing , S . 1994 . The q-deformed binomial distribution and its asymptotic behaviour . J. Phys. A: Math. Gen. , 27 : 493 – 499 .
- Castellani , L and Wess , J . 1996 . Quantum Groups and Their Applications in Physics , 652 Amsterdam, , The Netherlands : IOS Press .
- Kac , V and Cheung , P . 2002 . Quantum Calculus , New York : Springer .
- Il’inskii , A and Ostrovska , S . 2002 . Convergence of generalized Bernstein polynomials . J. Approx. Theory , 116 : 100 – 112 .
- Wang , H . 2005 . Korovkin-type theorem and application . J. Approx. Theory , 132 ( 2 ) : 258 – 264 .
- Wang , H . 2007 . Properties of convergence for the q-Meyer-Konig and Zeller operators . J. Math. Anal. Appl. , 335 ( 2 ) : 1360 – 1373 .
- Trif , T . 2000 . Meyer-König and Zeller operators based on the q-integers . Rev. Anal. Num. Théor. Approx. , 29 ( 2 ) : 221 – 229 .
- Ostrovska , S . 2004 . On the limit q-Bernstein operator . Math. Balkanica (N.S.) , 18 : 165 – 172 .
- Videnskii , VS . 2005 . On some classes of q-parametric positive operators . Operator Theory, Adv. Appl. , 158 : 213 – 222 .
- Ostrovska , S . 2003 . q-Bernstein polynomials and their iterates . J. Approx. Theory , 123 : 232 – 255 .
- Ostrovska , S . 2006 . On the improvement of analytic properties under the limit q-Bernstein operator . J. Approx. Theory , 138 : 37 – 53 .
- Lorentz , GG . 1986 . Bernstein Polynomials , New York : Chelsea .