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Tauberian theorems for iterations of weighted mean summable integrals

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Published in 2019 at "Positivity"

DOI: 10.1007/s11117-018-0603-4

Abstract: Let p be a positive weight function on $$A:=[1, \infty )$$A:=[1,∞) which is integrable in Lebesgue’s sense over every finite interval (1, x) for $$11$$x>1, $$P(1)=0$$P(1)=0 and $$P(x) \rightarrow \infty $$P(x)→∞ as $$x \rightarrow \infty $$x→∞.… read more here.

Keywords: rightarrow infty; tauberian theorems; weighted mean; lim rightarrow ... See more keywords