An alternative proof of a Tauberian theorem for Abel summability method
Makaleler > Tam Makale · 2016
Yazarlar: İbrahim ÇANAK, Umit Totur
Proyecciones (Antofagasta), AHCI İndekslerine Giren Dergi, Uluslararası, Scopus, 2016, cilt 35, ss 235-244
DOI: 10.4067/s0716-09172016000300001
Özet
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.