DC pole | Wartość | Język |
dc.contributor.author | Matkowski, Janusz | - |
dc.contributor.author | Wróbel, Małgorzata | - |
dc.date.accessioned | 2020-05-08T12:27:42Z | - |
dc.date.available | 2020-05-08T12:27:42Z | - |
dc.date.issued | 1996 | - |
dc.identifier.citation | Annales Mathematicae Silesianae, Nr 10 (1996), s. 7-12 | pl_PL |
dc.identifier.issn | 0860-2107 | - |
dc.identifier.uri | http://hdl.handle.net/20.500.12128/13914 | - |
dc.description.abstract | Let I be an interval and M,N : I x I I some means with the
strict internality property. Suppose that <p : J —• R is a non-constant and
continuous solution of the functional equation
<p(M(x, y)) + ip(N(x, y)) = <p(x) + <p{y).
Then tp is one-to-one; moreover for every lower semicontinuous function
/ : / - » R satisfying the inequality
f(M(x,y)) + f(N(x,y)) < /(*) + f(y),
the function / o ip~l is convex on <p(I). This is a generalization of an earlier
result of Zs. Pales. An application to the a-Wright convex function is given. | pl_PL |
dc.language.iso | en | pl_PL |
dc.rights | Uznanie autorstwa-Użycie niekomercyjne-Bez utworów zależnych 3.0 Polska | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/pl/ | * |
dc.subject | a-Wright convex function | pl_PL |
dc.subject | functions | pl_PL |
dc.title | A generalized a-Wright convexity and related functional equation | pl_PL |
dc.type | info:eu-repo/semantics/article | pl_PL |
dc.relation.journal | Annales Mathematicae Silesianae | pl_PL |
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