Abstract. It is proved that the class of quasi-monotonic sequences with the additional assumption $\Sigma c_n/n < \infty $ is not comparable to the class of $\delta $-quasi-monotonic sequences with the assumption $\Sigma n^\gamma\delta _n < \infty $, $\gamma >0$; furthermore none of them is comparable to the class of sequences of rest bounded variation.
AMS Subject Classification
(1991): 26D15, 40-99, 42A20
Keyword(s):
Inequalities,
embedding relations,
sums,
\delta,
-quasi monotone sequences,
R^+_0 BV,
-sequences,
sine and cosine series
Received January 30, 2001. (Registered under 2862/2009.)
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