2 citations · 5 across the 8 of their papers we have counts for
23 papers
On approximately convex and affine functions
Angshuman R. Goswami, Zsolt Páles
A real valued function defined on a real open interval is called -convex if, for all , it satisfies $$ f(tx+(1-t)y)\leq tf(x)+(1-t)f(y)+tΦ\big((1-t…
Characterizations of the equality of two-variable generalized quasiarithmetic means
Zsolt Páles, Amr Zakaria
This paper is motivated by an astonishing result of H. Alzer and S. Ruscheweyh published in 2001 in the Proc. Amer. Math. Soc., which states that the intersection of the classes tw…
An extension of the Abel-Liouville identity
Zsolt Páles, Amr Zakaria
In this note, we present an extension of the celebrated Abel-Liouville identity in terms of noncommutative complete Bell polynomials for generalized Wronskians. We also characteriz…
An extension of the Rådström Cancellation Theorem to Cornets
Gábor M. Molnár, Zsolt Páles
The aim of this paper is to introduce the notion of cornets, which form a particular subclass of ordered semigroups also equipped with a multiplication by natural numbers. The most…
On the Jensen convex and Jensen concave envelopes of means
Zsolt Páles, Paweł Pasteczka
In recent papers the convexity of quasiarithmetic means was characterized under twice differentiability assumptions. One of the main goals of this paper is to show that the convexi…
Characterization of approximately monotone and approximately Hölder functions
Angshuman R. Goswami, Zsolt Páles
A real valued function defined on a real open interval is called -monotone if, for all with it satisfies where $Φ:[0,\el…