29 citations · 121 across the 20 of their papers we have counts for
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math.CA2015★ 4 cited
Convexity with respect to families of means
Gyula Maksa, Zsolt Páles
In this paper we investigate continuity properties of functions that satisfy the -Jensen convexity inequality $$ f\big(H_p(x,y)\big)\leq H_q(…
math.CA2015★ 4 cited
Bernstein--Doetsch type theorems with Tabor type error terms for set-valued maps
Attila Gilányi, Carlos Gonzales, Kazimierz Nikodem +1
In this paper, we investigate set-valued maps of strongly and approximately Jensen convex and Jensen concave type. We present counterparts of the Bernstein--Doetsch Theorem with Ta…
math.CA2015★ 4 cited
Characterizations of higher-order convexity properties with respect to Chebyshev systems
Zsolt Páles, Éva Székelyné Radácsi
In this paper various notions of convexity of real functions with respect to Chebyshev systems defined over arbitrary subsets of the real line are introduced. As an auxiliary notio…