TY - JOUR AU - Mishra, Vishnu Narayan AU - Khatri, Kejal AU - Mishra, Lakshmi Narayan PY - 2013 DA - 2013/11/29 TI - Statistical approximation by Kantorovich-type discrete q-Betaoperators JO - Advances in Difference Equations SP - 345 VL - 2013 IS - 1 AB - The aim of the present paper is to introduce a Kantorovich-type modification ofthe q-discrete beta operators and to investigate their statistical andweighted statistical approximation properties. Rates of statistical convergenceby means of the modulus of continuity and the Lipschitz-type function are alsoestablished for operators. Finally, we construct a bivariate generalization ofthe operator and also obtain the statistical approximation properties. SN - 1687-1847 UR - https://doi.org/10.1186/1687-1847-2013-345 DO - 10.1186/1687-1847-2013-345 ID - Mishra2013 ER -