1998Izvestiya MathematicsOpen access

The subdifferential and the directional derivatives of the maximum of a family of convex functions

V N Solov'ev

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Abstract

The paper deals with calculating the directional derivatives and the subdifferential of the maximum of a family of convex functions under weakened compactness conditions on the indexing set (or in the absence of such conditions).

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The paper deals with calculating the directional derivatives and the subdifferential of the maximum of a family of convex functions under weakened compactness conditions on the indexing set (or in the absence of such conditions).

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OpenAlex reports 14 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

The paper deals with calculating the directional derivatives and the subdifferential of the maximum of a family of convex functions under weakened compactness conditions on the indexing set (or in the absence of such conditions).

Key concepts: Subderivative, Directional derivative, Compact space, Mathematics, Regular polygon, Set (abstract data type), Convex function, Pure mathematics

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