- is one of the endpoints. The
negative of a
quasiconvex function is said to be quasiconcave.
Quasiconvexity is a more
general property than
convexity in...
- In the
calculus of variations, a
subfield of mathematics,
quasiconvexity is a
generalisation of the
notion of convexity. It is used to
characterise the...
-
pseudoconvex function is
quasiconvex; but the
converse is not true,
since the
function f ( x ) = x 3 {\displaystyle f(x)=x^{3}} is
quasiconvex but not pseudoconvex...
-
Charles B. Morrey, Jr. in 1950,
whether rank-one
convexity implies quasiconvexity. In 1994, Šverák was an
Invited Speaker of the
International Congress...
- are
convex sets. A
function that
satisfies this
property is
called a
quasiconvex function and may fail to be a
convex function. Consequently, the set...
-
notions of convexity,
quasiconvexity and rank-one
convexity through the
following diagram: f convex ⟹ f polyconvex ⟹ f
quasiconvex ⟹ f rank-one convex...
-
attains its minimum. The
convexity of all the
sublevel sets
characterizes quasiconvex functions.
Epigraph Level-set
method Level set (data structures) Simionescu...
- 85D, doi:10.1007/s00205-023-01907-3 De Filippis,
Cristiana (2023), "
Quasiconvexity and
partial regularity via
nonlinear potentials",
Journal de Mathématiques...
- {\displaystyle Y} of a
geodesic metric space X {\displaystyle X} is said to be
quasiconvex if
there is a
constant C {\displaystyle C} such that any
geodesic in...
- Applications, Springer,
January 2023, ISBN 978-3-031-04150-1.
Approximation of
quasiconvex functions, and
lower semicontinuity of
multiple integrals, M****cripta...
