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Convex and V-shaped sequences of sums of functions that depend on ceiling functions

Convex and V-shaped sequences of sums of functions that depend on ceiling functions

Rustogi, Kabir and Strusevich, Vitaly A. (2011) Convex and V-shaped sequences of sums of functions that depend on ceiling functions. Journal of Integer Sequences, 14 (1). pp. 1-9. ISSN 1530-7638

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Abstract

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.

Item Type: Article
Uncontrolled Keywords: convex sequence, V-shaped sequence, ceiling function
Subjects: Q Science > QA Mathematics
Pre-2014 Departments: School of Computing & Mathematical Sciences
School of Computing & Mathematical Sciences > Department of Mathematical Sciences
Related URLs:
Last Modified: 14 Oct 2016 09:12
Selected for GREAT 2016: None
Selected for GREAT 2017: None
Selected for GREAT 2018: None
URI: http://gala.gre.ac.uk/id/eprint/4592

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