Consider the sequence of inequalities
ai,k+1 ≤ Γ(Σj=1nsi,j(a1,k,...,an,k)) + bi,k,
i = 1,2,...,n, k = 0,1,2,..., where Γ is a concave and increasing function and the functions si,j, i,j = 1,...,n, satisfy some additional conditions ((2.2) and (2.3)). In this note we give an answer to the following question: under what assumptions regarding the given sequences {bi,k} their behaviour mplies a similar one for the sequences {ai,k}.
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Vol. 3 (1990)
Published: 1990-01-30
10.1515/amsil
English