First, trade-led growth of national output may have little impact on employment and development, particularly when most of the trade is in primary commodities with few linkages to the rest of the economy and when many export earnings accrue to foreigners, which not only bias the economy in the wrong direction but also reinforce internal and external dualities and inequalities.
As the third application, some classical results in non-commutative Lp-theory (e.g., non-commutative Hölder's inequality, duality and reflexivity of non-commutative Lp-spaces) are obtained for general unitarily invariant norms on finite factors.
We present some total Lagrange duality results for inequality systems involving infinitely many DC functions.
end{aligned} (36 As before, duality produces the inequality at the other endpoint, and another interpolation results in the estimate we are seeking for exponents between the endpoints.
Just as it does in harmonic analysis, the method is a key ingredient in dealing with many problems including martingale inequalities, duality, interpolation, and so on, especially for small-index martingale and multi-parameter martingales.
In Section 3, we provide a Lagrange-type duality theorem for equivalent inequality system ({F-Gle 0}).
We apply the quadratic penalization technique to derive strong Lagrangian duality property for an inequality constrained invex program.
The aim of this paper is to prove several important properties of weighted Sobolev spaces: separability, reflexivity, uniform convexity, duality and Markov-type inequalities.
Unfortunately, neither the method used in [2] for proving the reverse Hölder inequality nor the duality employed in [2, 3] can be applied to deal with very weak solutions to nonlinear elliptic systems.
The Kuhn Tucker approach inspired further research on Lagrangian duality, including the treatment of inequality constraints.
