Inequalities: Theory Of Majorization And Its Applications (mathematics In Science And Technology)
by Albert W. Marshall /
1980 / English / DjVu
3.2 MB Download
Although they play a fundamental role in nearly all branches of
mathematics, inequalities are usually obtained by ad hoc methods
rather than as consequences of some underlying "theory of
inequalities." For certain kinds of inequalities, the notion of
majorization leads to such a theory that is sometimes extremely
useful and powerful for deriving inequalities. Moreover, the
derivation of an inequality by methods of majorization is often
very helpful both for providing a deeper understanding and for
suggesting natural generalizations.
Although they play a fundamental role in nearly all branches of
mathematics, inequalities are usually obtained by ad hoc methods
rather than as consequences of some underlying "theory of
inequalities." For certain kinds of inequalities, the notion of
majorization leads to such a theory that is sometimes extremely
useful and powerful for deriving inequalities. Moreover, the
derivation of an inequality by methods of majorization is often
very helpful both for providing a deeper understanding and for
suggesting natural generalizations.
Anyone wishing to employ majorization as a tool in applications can
make use of the theorems; for the most part, their statements are
easily understood.
Anyone wishing to employ majorization as a tool in applications can
make use of the theorems; for the most part, their statements are
easily understood.
