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math.CA2016★ 2 cited
Reducible means and reducible inequalities
Tibor Kiss, Zsolt Páles
It is well-known that if a real valued function acting on a convex set satisfies the -variable Jensen inequality, for some natural number , then, for all $k\in\{1,\dots…
math.CA2016★ 4 cited
Asymptotic stability of the Cauchy and Jensen functional equations
Anna Bahyrycz, Zsolt Páles, Magdalena Piszczek
The aim of this note is to investigate the asymptotic stability behaviour of the Cauchy and Jensen functional equations. Our main results show that if these equations hold for larg…