7 citations · 8 across the 3 of their papers we have counts for
4 papers · 1 filter
On a generalized conjecture by Alzer and Matkowski
Włodzimierz Fechner, Marta Pierzchałka, Gabriela Smejda
We study a recent conjecture proposed by Horst Alzer and Janusz Matkowski concerning a bilinearity property of the Cauchy exponential difference for real-to-real functions. The ori…
Convexity properties of functions defined on metric Abelian groups
Włodzimierz Fechner, Zsolt Páles
The notions of quasiconvexity, Wright convexity and convexity for functions defined on a metric Abelian group are introduced. Various characterizations of such functions, the struc…
On a functional inequality stemming from the Grüss-type inequalities
Włodzimierz Fechner
We study functional inequality of the form where is a complex-valued functional and is a real-valued map. Motivation for…
Richard's inequality, Cauchy-Schwarz's inequality and approximate solutions of Sincov's equation
Włodzimierz Fechner
We observe a connection between Cauchy-Schwarz' and Richard's inequalities in inner product spaces and a Ulam-type stability problem for multiplicative Sincov's functional equation…