Acketa, Dragan An inequality related to two integer sequences satisfying an order condition. (English) Zbl 1007.05019 Novi Sad J. Math. 29, No. 2, 7-12 (1999). The author considers a nondecreasing sequence \((c,d)\) obtained by merging two disjoint nondecreasing sequences \(c\) and \(d\), which consist of non-negative integers and have the same lengths. The following inequality is formulated: If \((c,d)\) contains \(h+1\) maximal subsequences of \(c\) and \(d\), and the sums of the \(r\)th powers of the members are the same in both \(c\) and \(d\) for \(-1\leq r\leq 1\), then the sum of the \(h\)th powers is greater in the sequence which contains the largest integer of \((c,d)\). The paper includes a skech of a proof of the inequality and briefly describes its application to a computer graphics problem. Reviewer: Mirjana Čangalović (Beograd) MSC: 05A20 Combinatorial inequalities 68U05 Computer graphics; computational geometry (digital and algorithmic aspects) Keywords:combinatorial inequalities PDFBibTeX XMLCite \textit{D. Acketa}, Novi Sad J. Math. 29, No. 2, 7--12 (1999; Zbl 1007.05019) Full Text: EuDML