A. Zakaria

activity

20172024

most citedOn the equality of Bajraktarević means to quasi-arithmetic means

15 citations · 56 across the 9 of their papers we have counts for

collaborators

Showing 2019Show all

3 papers · 1 filter

math.CA2019★ 8 cited

On the equality of two-variable general functional means

László Losonczi, Zsolt Páles, Amr Zakaria

Given two functions $f, g : I \to R$ and a probability measure $μ$ on the Borel subsets of $[0, 1]$ , the two-variable mean $M_{f, g; μ} : I^{2} \to I$ is defined by $$ M_{f,g;μ}(x,y) :…

math.CA2019★ 4 cited

Characterization of the equality of Cauchy means to quasiarithmetic means

Rezső L. Lovas, Zsolt Páles, Amr Zakaria

The main result of this paper provides six necessary and sufficient conditions under various regularity assumptions for a so-called Cauchy mean to be identical to a two-variable qu…

math.CA2019★ 15 cited

On the equality of Bajraktarević means to quasi-arithmetic means

Zsolt Páles, Amr Zakaria

This paper offers a solution of the functional equation $(t f (x) + (1 - t) f (y)) φ (t x + (1 - t) y) = t f (x) φ (x) + (1 - t) f (y) φ (y) (x, y \in I),$ where $t \in] 0, 1 [$ is a fixed numbe…