On statistical approximation properties of q -Baskakov–Szász–Stancu operators | ||||
Journal of the Egyptian Mathematical Society | ||||
Volume 24, Issue 3, 2016, Page 396-401 PDF (370.06 K) | ||||
DOI: 10.1016/j.joems.2015.07.005 | ||||
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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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