On statistical approximation properties of q -Baskakov–Szász–Stancu operators
Mishra, V., Sharma, P., Mishra, L. (2016). On statistical approximation properties of q -Baskakov–Szász–Stancu operators. EKB Journal Management System, 24(3), 396-401. doi: 10.1016/j.joems.2015.07.005
Vishnu Narayan Mishra; Preeti Sharma; Lakshmi Narayan Mishra. "On statistical approximation properties of q -Baskakov–Szász–Stancu operators". EKB Journal Management System, 24, 3, 2016, 396-401. doi: 10.1016/j.joems.2015.07.005
Mishra, V., Sharma, P., Mishra, L. (2016). 'On statistical approximation properties of q -Baskakov–Szász–Stancu operators', EKB Journal Management System, 24(3), pp. 396-401. doi: 10.1016/j.joems.2015.07.005
Mishra, V., Sharma, P., Mishra, L. On statistical approximation properties of q -Baskakov–Szász–Stancu operators. EKB Journal Management System, 2016; 24(3): 396-401. doi: 10.1016/j.joems.2015.07.005

On statistical approximation properties of q -Baskakov–Szász–Stancu operators

Journal of the Egyptian Mathematical Society
Volume 24, Issue 3, 2016, Pages 396-401    PDF (370.06 K)
DOI: 10.1016/j.joems.2015.07.005
Authors
Vishnu Narayan Mishra1; Preeti Sharma1; Lakshmi Narayan Mishra2, 3
1Department of Applied Mathematics & Humanities, Sardar Vallabhbhai National Institute of Technology, Ichchhanath Mahadev Dumas Road, Surat 395 007, Gujarat, India
2L.1627 Awadh Puri Colony Beniganj, Phase-III, Opposite Industrial Training Institute (I.T.I.), Ayodhya Main Road, Faizabad 224 001, Uttar Pradesh, India
3Department of Mathematics, National Institute of Technology, Silchar 788 010, Cachar, Assam, India
Abstract
In the present paper, we consider Stancu type generalization of Baskakov–Szász opera-
tors based on the q -integers and obtain statistical and weighted statistical approximation properties
of these operators. Rates of statistical convergence by means of the modulus of continuity and the
Lipschitz type maximal function are also established for operators.
Keywords
q -integers; q -Baskakov–Szász– Stancu operators; Rate of statistical conver- gence; Modulus of continuity; Lipschitz type maximal functions
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