Convex and Concave Functions

Zrinka Lukač ()
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Zrinka Lukač: University of Zagreb, Faculty of Economics & Business

Chapter 17 in Economic Analysis Through Mathematics, 2026, pp 405-412 from Springer

Abstract: Abstract We have seen that the concepts of the convexity and the concavity of a function play an important role in determining sufficient conditions for the existence of local extrema of functions of one variable. The same is true for functions of several variables. Therefore, in this chapter we generalize these concepts to the case of functions of n variables y = f ( x 1 , x 2 … , x n ) $$y=f(x_{1}, x_{2}\ldots ,x_{n})$$ . Furthermore, we derive their characterization using differential calculus.

Keywords: Convex set; Convex function; Concave function; Principal submatrix of order k; Principal minor of order k (search for similar items in EconPapers)
Date: 2026
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sptchp:978-3-032-08812-3_17

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DOI: 10.1007/978-3-032-08812-3_17

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