ACTA issues

## Light improvements of Tandori's divergence theorems

László Leindler

Acta Sci. Math. (Szeged) 69:1-2(2003), 197-201
2893/2009

 Abstract. By the observation that every almost monotone non-increasing sequence $\{a_n\}$ has the same convergence and divergence property as the monotone non-increasing sequence $\{\alpha_n\}, \alpha_n:=\sup_{k\ge n}a_k,$ we can slightly weaken the assumptions on the coefficients of Tandori's divergence theorems from monotonicity to almost monotonicity. AMS Subject Classification (1991): 42C15, 42C05 Received January 20, 2003. (Registered under 2893/2009.)