Geodesic
Convex and V-shaped sequences of sums of functions that depend on ceiling functions
Journal of integer sequences, Tome 14 (2011) no. 1
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.
Keywords: convex sequence, V-shaped sequence, ceiling function 
@article{JIS_2011__14_1_a0,
     author = {Rustogi,  Kabir and Strusevich,  Vitaly A.},
     title = {Convex and {V-shaped} sequences of sums of functions that depend on ceiling functions},
     journal = {Journal of integer sequences},
     year = {2011},
     volume = {14},
     number = {1},
     zbl = {1225.11033},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2011__14_1_a0/}
}
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Rustogi,  Kabir; Strusevich,  Vitaly A. Convex and V-shaped sequences of sums of functions that depend on ceiling functions. Journal of integer sequences, Tome 14 (2011) no. 1. http://geodesic.mathdoc.fr/item/JIS_2011__14_1_a0/