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Suppose X is a convex subset of R n . A function f : X ->R is:
strictly concave if
f (ax + (1-a )y) > af (x) + (1-a )f (y)
strictly quasiconcave if f (x) >= f (y) and x =/= y ) =>
f (ax + (1-a )y) > f (y)
It has 2 minimums wide enough and a narrow local maximum between them
In mathemathics quasi convection function is function f where set of S of its variables is convex.
In mathematics, a quasiconvex function is a real-valued function defined on an interval or on a convex subset of a real vector space such that the inverse image of any set of the form is a convex set. For a function of a single variable, along any stretch of the curve the highest point is one of the endpoints. The negative of a quasiconvex function is said to be quasiconcave.
It is aswell a mathematical concept that has several applications in economics. To understand the significance of the term's applications in economics, it's useful to begin with a brief consideration of the origins and meaning of the term in mathematics.
is a real-valued function defined on an interval or on a convex subset of a real vector space such that the inverse image of any set
In my own openion since this is my first time encountering a term quasi-concave which is highly term on mathematics that would mean an unknown product in a unknown single variable X or Y equivalent of an equation.
A real-valued function defined on a convex subset is said to be quasi-concave if for all real , the set is convex. This is equivalent to saying that is quasi-concave if and only if its negative is quasi-convex
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http://studyexperts.weebly.com/official/quasi-concave-function
A function is strictly quasiconcave if every point, except the endpoints, on any line segment joining points on two level curves yields a higher value for the function than does any point on the level curve corresponding to the lower value of the function.
In this case i will be explain a concisely answer based my knowledge. the accent of a strictly quasi concave is defined the single variable set in every segment of "a".such as: f(x)>a which is to get the accuracy of the upper and lower set variable