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Convex and Concave Functions

In: Economic Analysis Through Mathematics

Author

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  • Zrinka Lukač

    (University of Zagreb, Faculty of Economics & Business)

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.

Suggested Citation

  • Zrinka Lukač, 2026. "Convex and Concave Functions," Springer Texts in Business and Economics, in: Economic Analysis Through Mathematics, chapter 17, pages 405-412, Springer.
    • Handle: RePEc:spr:sptchp:978-3-032-08812-3_17
    DOI: 10.1007/978-3-032-08812-3_17
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