An extension theorem for a Matkowski-Sutô problem

• Autorzy: Zoltán Daróczy , Gabriella Hajdu , Che Tat Ng
• Języki publikacji: EN

Abstrakty

EN

Let I be an interval, 0 < λ < 1 be a fixed constant and A(x,y) = λx + (1-λ)y, x,y ∈ I, be the weighted arithmetic mean on I. A pair of strict means M and N is complementary with respect to A if A(M(x,y),N(x,y)) = A(x,y) for all x, y ∈ I. For such a pair we give results on the functional equation f(M(x,y)) = f(N(x,y)). The equation is motivated by and applied to the Matkowski-Sutô problem on complementary weighted quasi-arithmetic means M and N.

Kategorie tematyczne

• 26A18: Iteration
• 39B12: Iteration theory, iterative and composite equations
• 39B22: Equations for real functions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2003
• Tom: 95
• Numer: 2
• Strony: 153-161

Daty

wydano

2003

Twórcy

autor

Zoltán Daróczy

• Institute of Mathematics and Informatics, Lajos Kossuth University, H-4010 Debrecen, Pf. 12, Hungary

autor

Gabriella Hajdu

• Institute of Mathematics and Informatics, Lajos Kossuth University, H-4010 Debrecen, Pf. 12, Hungary

autor

Che Tat Ng

• Department of Pure Mathematics, University of Waterloo, Waterloo, ON, Canada N2L 3G1

Identyfikatory

DOI

10.4064/cm95-2-1