The paper primarily revolves around the convex and V-shaped finite sequences and the inequalities that govern them. We give an elementary proof that a convex sequence is also V-shaped. We prove an inequality that involves an arbitrary nondecreasing function that depends on ceiling functions, thereby establishing the convexity of the corresponding sequence. We present various interpretations and applications of our results, mainly in terms of operations research problems.
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机译：部分参数[n i ]＆[m j ] f（h）↓CD 的部分乘积模拟信号的有序序列的生成方法乘数± [n i ] f（2 n ）和± [m j ] f（2 n ）-金字塔乘数f Σ（↓ CD Σ）中的“互补代码”，用于连续逻辑减法f 1 （CD↓）并以格式± [S Σ] f（2 n ）生成结果和-“补充代码”及其实现的功能结构（俄罗斯逻辑版本）
