This article is cited in 2 papers

Finite increments formula for mappings into inductive scales of spaces

I. V. Orlov

Vernadskiy Tavricheskiy National University

Abstract: Finite increments formula with closed convex estimate is transfered to the differentiable mappings into linear scales of locally convex spaces and homogeneously differentiable mappings into nonlinear scales. A weakened variant of the formula with functionally separable convex estimate is obtained for mappings into general inductive scales. Some generalizations and applications are considered.

MSC: Primary 26A24, 26E20; Secondary 46A22

Received: 02.07.2000

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