Positive linear operators and summability
1970 ◽
Vol 11
(3)
◽
pp. 281-290
◽
Keyword(s):
Let {Ln} be a sequence of positive linear operators defined on C[a, b] of the form where xnk ∈ [a, b] for each k = 0, 1,…, n = 1, 2,…. The convergence properties of the sequences {Ln(f)} to for each f ∈ C[a, b] have been the object of much recent research (see e.g. [4], [8], [11], [13]). In many cases positive linear operators of the form (1) give rise to interesting summability matrices A = (ank(x)) and vice- versa.
1973 ◽
Vol 16
(4)
◽
pp. 557-559
◽
1995 ◽
Vol 117
(1)
◽
pp. 31-55
◽
1984 ◽
Vol 29
(1)
◽
pp. 13-18
◽
2010 ◽
Vol 47
(3)
◽
pp. 289-298
◽
1960 ◽
Vol 1960
(205)
◽
pp. 101-106
◽