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Γ‐Inequalities and Stability of Generalized Extremal Convolutions
Author(s) -
Dolecki S.,
Guillerme J.,
Lignola M. B.,
Malivert C.
Publication year - 1991
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.19911520123
Subject(s) - mathematics , simple (philosophy) , inequality , algebraic number , stability (learning theory) , convergence (economics) , pure mathematics , algebra over a field , mathematical analysis , philosophy , epistemology , machine learning , computer science , economics , economic growth
Convergence properties of convolutions, conjugations, compositions and polarities are expressed in terms of inequalities involving Γ‐operators and generalized extremal convolutions. It is shown that Γ‐inequalities amount to simple algebraic inequalities and (in some cases) to some min‐max problems. Numerous applications are indicated, in particular, to continuity properties of the classical conjugation.