Some operations preserving log-concavity of nonnegative functions

Vadim E. Levit, Eugen Mandrescu

Research output: Contribution to journalArticlepeer-review


In this paper we introduce the notions of k -log-concave and k, [p, q] -concave functions, as generalizations of log-concave and concave sequences, respectively. We also present sufficient conditions under which some operations with such functions yield k -log-concave functions. In particular, we infer that the convolution of a positive 1 -log-concave sequence and a nonnegative sequence of k + 1 elements is k -log-concave.

Original languageEnglish
Pages (from-to)63-73
Number of pages11
JournalMathematical Inequalities and Applications
Issue number1
StatePublished - Jan 2006
Externally publishedYes


  • Concave
  • Log-concave
  • [p, q] -concave
  • k
  • k -log-concave


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