We look after the complementary means with respect to a weighted geometric mean of Stolarsky means in the family of Gini means and in the family of Stolarsky means.

Let $K$ be a closed convex cone with the nonempty interior in a real Banach space and let $cc(K)$ denote the family of all nonempty convex compact subsets of $K$. If $\{F_t : t ≥ 0\}$ is a regular cosine family of continuous ...

We consider some functional equations arising from the Cauchy-Riemann equations, and certain related functional equations. First we propose a new functional equation (E.1) below, over a 2-divisible Abelian group, which is ...

The paper contains an extension of Calderon's work [2] on the optimality of the Dini test for Fourier series in a set of positive measure.

This is an extended version of the talk given on the 10th International Conference on Functional Equations and Inequalities held in September, 2005, in the Mathematical Research and Conference Center of the Polish Academy ...

We show that small Seshadri constants in a general point of a surface have strong geometrical implications, the surface is fibered by curves computing the Seshadri constant. We give a sharp bound in terms of the ...

All analytic solutions of the functional equation \[|f(r exp(iθ))|^2 + |f(1)|^2 = |f(r)|^2 + |f(exp(iθ))|^2\] in the annulus \[P := {z ∈ C : 1 − ε < |z| < 1 + ε}\] and in the domain \[D := {z = re^{iθ} ∈ C : ...