21 citations · 163 across the 30 of their papers we have counts for
4 papers · 1 filter
On strong $(α,\F)$-convexity
Judit Makó, Kazimierz Nikodem, Zsolt Páles
In this paper, strongly -convex functions, i.e., functions satisfying the functional inequality $$ f(tx+(1-t)y)\leq tf(x)+(1-t)f(y)-tα\big((1-t)(x-y)\big)-(1-t)α…
On a generalization of the plank problem
Zsolt Páles
Let two concentric circles and be given on the plane with radii and , . Assume that the disc bounded by is covered by angular domains whose vertices are wit…
Approximate Hermite-Hadamard type inequalities for approximately convex functions
Judit Makó, Zsolt Páles
In this paper, approximate lower and upper Hermite--Hadamard type inequalities are obtained for functions that are approximately convex with respect to a given Chebyshev system.
Wigner's theorem revisited
Gyula Maksa, Zsolt Páles
In this paper, we give the general solution of the functional equation where and…