Mean values for vector valued functions and corresponding functional equations

• Autorzy: Roman Ger , Maciej Sablik
• Języki publikacji: EN

Abstrakty

EN

Although, in general, a straightforward generalization of the Lagrange mean value theorem for vector valued mappings fails to hold we will look for what can be salvaged in that situation. In particular, we deal with Sanderson's and McLeod's type results of that kind (see [9] and [7], respectively). Moreover, we examine mappings with a prescribed intermediate point in the spirit of the celebrated Acz\'el's theorem characterizing polynomials of degree at most 2 (cf. [1]).

Słowa kluczowe

EN

mean value theorems, quasi-arithmetic means, Gauss-iteration, characterization of quadratic polynomials

• Wydawca: Polish Mathematical Society
• Czasopismo: Commentationes Mathematicae
• Rocznik: 2013
• Tom: 53
• Numer: 2

Daty

wydano

2013

online

2014-12-15

Twórcy

autor

Roman Ger

autor

Maciej Sablik

Identyfikatory

DOI

10.14708/cm.v53i2.796