A note on the behavior of integrable functions at infinity

DOI10.1016/j.jmaa.2011.03.045zbMath1227.40002OpenAlexW1972128581MaRDI QIDQ542854

Constantin P. Niculescu, Florin Popovici

Publication date: 20 June 2011

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2011.03.045

zbMATH Keywords

Lebesgue integrallimit in densityset of zero density

Mathematics Subject Classification ID

Convergence and divergence of integrals (40A10)

Related Items

Typical behaviour of integrable functions at infinity, On the behavior of Lebesgue integrable functions at infinity, A note on Abel's partial summation formula, The asymptotic behavior of integrable functions, Korovkin-type theorems for statistically convergent sequences of monotone and sublinear operators, On the limits of real-valued functions in sets involving \(\psi\)-density, and applications, The behavior at infinity of an integrable function

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