Móricz [3] 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.

1.
F.
 
Móricz
,
Studia Math
.
219
(
2
),
109
–
121
(
2013
).
https://doi.org/10.4064/sm219-2-2
Google Scholar
Crossref
Search ADS
 
2.
G. H.
 
Hardy
,
Proc. Cambridge Philosoph. Soc
.
20
,
304
–
307
(
1920-21
).
Google Scholar
 
3.
F.
 
Móricz
,
Analysis (Munich)
 
18
(
1
),
1
–
8
(
1998
).
Google Scholar
 
This content is only available via PDF.
© 2019 Author(s).
2019
Author(s)