Some More Results on the Rate of Convergence
Vijay Gupta and
Ravi P. Agarwal
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Vijay Gupta: Netaji Subhas Institute of Technology, School of Applied Sciences
Ravi P. Agarwal: Texas A&M University - Kingsville, Department of Mathematics
Chapter Chapter 9 in Convergence Estimates in Approximation Theory, 2014, pp 287-311 from Springer
Abstract:
Abstract Shaw et al. [210] investigated the problem for the general family of positive linear operators, which includes Bernstein, Kantorovich, and Durrmeyer operators as special cases. They investigated their results for the classes of functions BV [a, b] and DBV [a, b]. Also, Hua and Shaw [156] extended this problem for linear integral operators with a not necessarily positive kernel.
Keywords: Integral Operator; Bounded Variation; Pointwise Convergence; Bernstein Polynomial; Positive Linear Operator (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-02765-4_9
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DOI: 10.1007/978-3-319-02765-4_9
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