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- W160609952 abstract "ABSTRACT The problem of minimizing a scalar functional u(x) under a set of constraints S in the vector variable x is termed a program .It often results that there is an associated program of maximizing ascalar functional v(y) under a set of constraints T on the vector y. These programs are termed dual if it can be shown that the functional u(x) exceeds the functional v(y). Then there exists a constant M such that The virtue of this duality inequality is that it permits estimating M with a known bound on the error. Inequalities of this form appear in various areas of mathematics, science, engineering, and economics. This paper points out several such duality inequalities and their interrelationships." @default.
- W160609952 created "2016-06-24" @default.
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- W160609952 date "1970-01-01" @default.
- W160609952 modified "2023-09-27" @default.
- W160609952 title "Duality Inequalities of Mathematics and Science" @default.
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- W160609952 doi "https://doi.org/10.1016/b978-0-12-597050-1.50018-x" @default.
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