## A characterization of quasi-convex functions.(English)Zbl 0501.49008

### MSC:

 49J45 Methods involving semicontinuity and convergence; relaxation 26B25 Convexity of real functions of several variables, generalizations 52A30 Variants of convex sets (star-shaped, ($$m, n$$)-convex, etc.)

### Keywords:

quasi-convex function; lower semi-continuity

Zbl 0142.387
Full Text:

### References:

 [1] Ciarlet PG (1978) The finite element method for elliptic problems. North-Holland, Amsterdam · Zbl 0383.65058 [2] Morrey CB (1966) Multiple integrals in the calculus of variations. Springer-Verlag, Heidelberg · Zbl 0142.38701 [3] Temam R (1973) Numerical analysis. Reidel Publishing Company, Holland · Zbl 0261.65001 [4] Buseman H, Ewald G, Shephard GC (1963) Convex bodies and convexity on Grassman cones, Parts I?IV. Math Ann 151:1-41 · Zbl 0112.37301
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