Abstract:be the sequence-to-function Hausdorff transformation generated by the completely monotone function g or, what is equivalent, the Laplace transform of a finite positive measure -1, whose norm ||T|| = /o°° t-(i+«)/P do{t) = C{p,s) if and only if C(p, s) < oo, and that for 1 < p < oo, ||To||Pl4 < C(p, s)||a||p,s unless an is a null sequence.Furthermore, if 1 < p < r < o… Show more
“…The analogues to inequalities A 0 , B 0 , C 0 , and D 0 in [2] are Setting α = 0 in the results of this paper yields the corresponding results from [2].…”
Section: B E Rhoadessupporting
confidence: 54%
“…Part (a) is part (a) of Lemma 1 of [2]. The other parts are proved in the same way as their counterparts in [2].…”
mentioning
confidence: 79%
“…Georgakis (1988) n g (n) (y) n! an, y ≥ 0, considered as an operator from the sequence space p , with weights Let {µ n } denote a real or complex sequence.…”
Abstract. Georgakis (1988) n g (n) (y) n! an, y ≥ 0, considered as an operator from the sequence space p , with weights Let {µ n } denote a real or complex sequence. The difference operator ∆ is defined
“…The analogues to inequalities A 0 , B 0 , C 0 , and D 0 in [2] are Setting α = 0 in the results of this paper yields the corresponding results from [2].…”
Section: B E Rhoadessupporting
confidence: 54%
“…Part (a) is part (a) of Lemma 1 of [2]. The other parts are proved in the same way as their counterparts in [2].…”
mentioning
confidence: 79%
“…Georgakis (1988) n g (n) (y) n! an, y ≥ 0, considered as an operator from the sequence space p , with weights Let {µ n } denote a real or complex sequence.…”
Abstract. Georgakis (1988) n g (n) (y) n! an, y ≥ 0, considered as an operator from the sequence space p , with weights Let {µ n } denote a real or complex sequence. The difference operator ∆ is defined
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