An alternative proof of a Tauberian theorem for Abel summability method
Articles > Article · 2016
Authors: İbrahim ÇANAK, Umit Totur
Proyecciones (Antofagasta), Journal Indexed in AHCI, International, Scopus, 2016, vol 35, pp 235-244
DOI: 10.4067/s0716-09172016000300001
Summary
Using a corollary to Karamata’s main theorem [Math. Z. 32 (1930), 319-320], we prove that ifa slowly decreasing sequence of real numbers is Abel summable, then it is convergent in the ordinary sense.