Geodesic
Statistical Approximation Properties of Modified $q$-Stancu-Beta Operators
Bulletin of the Malaysian Mathematical Society, Tome 36 (2013) no. 3 Cet article a éte moissonné depuis la source Bulletin of the Malaysian Mathematical Society website

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In this paper we define the modified $q$-Stancu-Beta operators and study the weighted statistical approximation by these operators with the help of the Korovkin type approximation theorem. We also establish the rates of statistical convergence by means of the modulus of continuity and the Lipschitz type maximal function. Our results show that rates of convergence of our operators are at least as fast as classical Stancu-Beta operators.
Classification : Primary: 41A10, 41A25, 41A36; Secondary: 40A30 
@article{BMMS_2013_36_3_a10,
     author = {M. Mursaleen and Asif Khan},
     title = {Statistical {Approximation} {Properties} of {Modified} $q${-Stancu-Beta} {Operators}},
     journal = {Bulletin of the Malaysian Mathematical Society},
     year = {2013},
     volume = {36},
     number = {3},
     url = {http://geodesic.mathdoc.fr/item/BMMS_2013_36_3_a10/}
}
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M. Mursaleen; Asif Khan. Statistical Approximation Properties of Modified $q$-Stancu-Beta Operators. Bulletin of the Malaysian Mathematical Society, Tome 36 (2013) no. 3. http://geodesic.mathdoc.fr/item/BMMS_2013_36_3_a10/