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What is meant by strictly Quasi concave function?

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Question added by yousra yousra zamurd , AS An Internee , National Bank of Pakistan
Date Posted: 2015/05/05
Ahammed Niyas k
by Ahammed Niyas k , Senior Quality Control / Material Technician, Asst. Auditor , M/s. Arab Center for Engineering Studies

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) 

 

Ali Fakih
by Ali Fakih , Software Developer , Free lancer

It has 2 minimums wide enough and a narrow local maximum between them

hussein nouri
by hussein nouri , معلم , مدرسة الحديثة الخاصة ابوظبي

function defined on a convex subset is said to be quasi-concave if for all real , the set is convex

Petar Stojanovic
by Petar Stojanovic , Assistant Professor , TU Delft

In mathemathics quasi convection function is function f where set of S of its variables is convex.

Bernard Tabe Tanyi
by Bernard Tabe Tanyi , CLASSROOM TEACHER/SPORTS CORDINATOR , CAMEROON BAPTIST CONVENTION

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 ( − ∞ , a ) {\\displaystyle (-\\infty ,a)} (-\\infty ,a) 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.

Hamdy Youssef
by Hamdy Youssef , Professor , Umm Al-Qura University

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 

PETER   BACALING
by PETER BACALING , School Administrator , AMA Computer University

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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this is the  Quasi concave function

http://studyexperts.weebly.com/official/quasi-concave-function

Tapiwa Edwin Chasi
by Tapiwa Edwin Chasi , Data capturer and Administration clerk , Zimbabwe National Statistics Agency

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.

Jovannie Logronio
by Jovannie Logronio , QC in Integrated security system , samsung sds

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

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