A VARIANT OF JENSEN'S FUNCTIONAL EQUATION ON SEMIGROUPS

被引：4

作者：

Fadli, Brahim ^{[1
]}

Zeglami, Driss ^{[2
]}

Kabbaj, Samir ^{[1
]}

机构：

[1] Ibn Tofail Univ, Fac Sci, Dept Math, BP 14000, Kenitra, Morocco

[2] Moulay Ismail Univ, Dept Math, ENSAM, BP 15290, Al Mansour, Meknes, Morocco

来源：

DEMONSTRATIO MATHEMATICA | 2016年 / 49卷 / 04期

关键词：

Jensen's equation; Pexider type equation; monoid; additive function;

D O I：

10.1515/dema-2016-0035

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We determine the solutions f : S -> H of the following functional equation f(xy) + f(sigma(y)x) = 2f(x), x, y is an element of S, and the solutions f(1), f(2), f(3) : M -> H of the functional equation f(1)(xy) + f(2)(sigma(y)x) = 2f(3)(x), x, y is an element of M, where S is a semigroup, M is a monoid, H is an abelian group 2- torsion free, and sigma is an involutive automorphism.

引用

页码：413 / 420

页数：8

共 18 条

[1] Aczel J, 2006, MATH SCI ENG
[2] On Wilson's functional equations
Ebanks, Bruce
Stetkaer, Henrik
[J]. AEQUATIONES MATHEMATICAE, 2015, 89 (02) : 339 - 354
[3] d'Alembert's other functional equation on monoids with an involution
Ebanks, Bruce
Stetkaer, Henrik
[J]. AEQUATIONES MATHEMATICAE, 2015, 89 (01) : 187 - 206
[4] A variant of Wilson's functional equation
Fadli, Brahim
Zeglami, Driss
Kabbaj, Samir
[J]. PUBLICATIONES MATHEMATICAE-DEBRECEN, 2015, 87 (3-4): : 415 - 427
[5] Friis P. de P., 2004, AEQUATIONES MATH, V67, P12
[6] Ng C.T., 2001, AEQUATIONES MATH, V62, P143
[7] Ng C. T., 2005, AEQUATIONES MATH, V70, P131
[8] Ng C.T., 1999, AEQUATIONES MATH, V58, P311
[9] Ng CT., 1990, AEQUATIONES MATH, V39, P85, DOI [10.1007/BF01833945, DOI 10.1007/BF01833945]
[10] Parnami JC, 1992, AEQUATIONES MATH, V43, P211

← 1 2 →