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Operations research, linear programming, control theory, systems theory, optimal control, game theory

5 votes
3 answers
267 views

Find the maximum trigonometric polynomial coefficient $A_{k}$

I posted this question on Math Stack Exchange but did not get any answer. I am trying my luck here. Let $n,k$ be given positive integers and $n>k$. If for all real numbers $x$ we have $$A_{1}\cos{x} …
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3 votes
1 answer
202 views

it's convex sequence inequality

A sequence $a_0,a_1,\dots,a_n$ of real numbers is called concave if $a_{0}=0$, and for each $0<i<n$, we have $a_i\geq\dfrac{a_{i-1}+a_{i+1}}{2}$. Find the largest $c(n)$ such that for every concave s …
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