This is perhaps the last remaining field comprehended and used by mathematicians in all areas of the discipline. New inequalities are discovered every year, some for their intrinsic interest whilst others flow from results obtained in various branches of mathematics. The study of inequalities reflects the many and various aspects of mathematics. There are numerous applications in a wide variety of fields, from mathematical physics to biology and economics. This volume contains the proceedings of the General Inequalities 7 meeting held at Oberwolfach in November 1995. It is conceived in the spirit of the preceding volumes in the sense that it not only contains the latest results, but it is also a useful reference for lecturers and researchers.