Extension theorem for a functional equation

• Autorzy: Burai P.
• Języki publikacji: EN

Abstrakty

EN

We are doing to prove an extension theorem on a functional equation for special means studied by Domsta and Matkowski

Słowa kluczowe

EN

means; functional equation; extension theorem

• Wydawca: De Gruyter
• Czasopismo: Journal of Applied Analysis
• Rocznik: 2006
• Tom: Vol. 12, nr 2
• Strony: 293--299
• Opis fizyczny: Bibliogr. 9 poz.

Twórcy

autor

Burai P.

• Institute of Mathematics University of Debrecen H-4010 Debrecen, Pf. 12 Hungary,

Bibliografia

• [1] Aczel, J., Lectures on Functional Equations and Their Applications, Mathematics in Science and Engineering 19, Academic Press, New York-London, 1966.
• [2] Domsta, J., Matkowski, J., Invariance of the arithmetic mean with respect to special mean-type mappings, Aequatienes Math. 71 (2006), 70-85.
• [3] Daróczy, Z., On a class of means of two variables, Publ. Math. Debrecen 55(1-2) (1999), 177-197.
• [4] Daróczy, Z., Hajdu, G., Ng, C. T., An extension theorem for a Matkowski-Sutó problem, Colloq. Math. 95(2) (2003), 153-161.
• [5] Daróczy, Z., Maksa, Gy., Pales, Zs., Extension theorems for the Matkowski-Sutó problem, Demonstratio Math. 33(3) (2000), 547-556.
• [6] Daróczy, Z., Ng, C. T., A functional equation on complementary means, Acta Sci. Math. (Szeged) 66 (2000), 603-611.
• [7] Daróczy, Z., Pales, Zs., Gauss-composition of means and the solution of the Matkowski-Sutó problem, Publ. Math. Debrecen 61(1-2) (2002), 157-218.
• [8] Hajdu, G., Investigations in the theory of functional equations, PhD Thesis, Institute of Mathematics, University of Debrecen, Debrecen, Hungary, 2003.
• [9] Hardy, G. H., Littlewood, J. E., Pólya, G., Inequalities, Cambridge Univ. Press, Cambridge, 1934 (first edition), 1952 (second edition).