On the logarithmic summability $(L,1)$ of integrals on $[1,\infty)$
Abstract
Moricz [Analysis (Munich) 18(1) (1998), 1-8] characterized summability (C,1) of integrals by convergence of another integral. In this work, we extend this result to logarithmic summability (L,1) of integrals.
Downloads
References
Hardy, G. H., A theorem concerning summable series, Proc. Cambridge Philosoph. Soc. 20, 304-307, (1920-21).
Moricz, F., Summability (C, 1) of integrals on R+, Analysis (Munich). 18(1), 1-8, (1998). DOI: https://doi.org/10.1524/anly.1998.18.1.1
Moricz, F., Necessary and sufficient Tauberian conditions for the logarithmic summability of functions and sequences, Studia Math. 219(2), 109-121, (2013). DOI: https://doi.org/10.4064/sm219-2-2
Copyright (c) 2022 Boletim da Sociedade Paranaense de Matemática
This work is licensed under a Creative Commons Attribution 4.0 International License.
When the manuscript is accepted for publication, the authors agree automatically to transfer the copyright to the (SPM).
The journal utilize the Creative Common Attribution (CC-BY 4.0).
