On a Problem of Alsina Again

✍ Scribed by Janusz Matkowski; Maciej Sablik

• Publisher: Elsevier Science
• Year: 2001
• Tongue: English
• Weight: 72 KB
• Volume: 254
• Category: Article
• ISSN: 0022-247X
• DOI: 10.1006/jmaa.2000.7268

✦ Synopsis

We give some new results concerning the functional equation f x q y q f f x Ž .. w Ž Ž . . Ž Ž .

. x q f y s f f x q f y q f f x q y , proposed by C. Alsina in 1986. We also Ž . Ž Ž . Ž . . w Ž Ž . . investigate a related equation zf x q y q f f x q f y s f f x q zf y q Ž Ž . .x Ž . f zf x q y and we solve it in the class of decreasing involutions of 0, ϱ onto itself.