In this paper,given a pseudo-addition and a fitting pseudo-multiplications, we consider and solve the pseudo-remaining Cauchy equations. They are the remaining Cauchy equations considered by Aczel, where the ordirary sum and multiplications are replaced by the pseudo-operations. This is a further application of the pseudo-operations,already used in the solution of Cauchy equations and in the axiomatic theory of generalized intergals.
The "pseudo-remaining Cauchy equations" / Vivona, Doretta; Divari, M.. - In: JOURNAL OF APPLIED FUNCTIONAL ANALYSIS. - ISSN 1559-1948. - STAMPA. - 3:no.4(2008), pp. 497-505.
The "pseudo-remaining Cauchy equations"
VIVONA, Doretta;
2008
Abstract
In this paper,given a pseudo-addition and a fitting pseudo-multiplications, we consider and solve the pseudo-remaining Cauchy equations. They are the remaining Cauchy equations considered by Aczel, where the ordirary sum and multiplications are replaced by the pseudo-operations. This is a further application of the pseudo-operations,already used in the solution of Cauchy equations and in the axiomatic theory of generalized intergals.File allegati a questo prodotto
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