30 citations · 47 across the 4 of their papers we have counts for
4 papers
Around Jensen's inequality for strongly convex functions
H. R. Moradi, M. E. Omidvar, M. Adil Khan +1
In this paper we use basic properties of strongly convex functions to obtain new inequalities including Jensen's type and Jensen-Mercer type inequalities. Applications for special…
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…
Bernstein--Doetsch type theorems for set-valued maps of strongly and approximately convex and concave type
Carlos González, Kazimierz Nikodem, Zsolt Páles +1
In this paper, we investigate properties of set-valued mappings that establish connection between the values of this map at two arbitrary points of the domain and the value at thei…
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…