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The Extreme of a Function Subject to Restraint Conditions

Keywords: Lagrange , multipliers , extreme

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Abstract:

Many papers treat the classical problem of the determination function’s extreme pointssubject to equality type restrictions. The well-known method of Lagrange’s multipliers givesnecessary conditions but not sufficient. In this paper, it is shown that in additional hypotesys (like thelinearity) the nature of a stationary point remains the same for the restricted function and for theinitial one.

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