On the stability of a functional equation deriving from an inequality of Popoviciu for convex functions
By Tiberiu V. Trif. 2002
58 citations recorded by the source corpus.
Subfields: Applied Mathematics
View Paper: https://www.semanticscholar.org/paper/d8b86a2114fb4d76077619f5ec79899fb3418cbf
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Applied Mathematics
Citations in the corpus
- Homomorphisms between Poisson JC*-Algebras (2005, unknown): “Now we are going to show the Cauchy–Rassias stability of homomorphisms in Poisson JC∗-algebras associated with the Trif functional equation.”
- HOMOMORPHISMS BETWEEN LIE JC∗-ALGEBRAS AND CAUCHY-RASSIAS STABILITY OF LIE JC∗-ALGEBRA DERIVATIONS (2005, unknown): “[8] —, Modified Trif ’s functional equations in Banach modules over a C∗ - algebra and approximate algebra homomorphisms, J. Math.”
- Homomorphisms between JC*–algebras and Lie C*–algebras (2005, background): “Recently, Trif [ 5 ] proved the stability of a functional equation deriving from an inequality of Popoviciu for convex functions.”
- Modified Trif's functional equations in Banach modules over a C∗-algebra and approximate algebra homomorphisms (2003, background): “Recently, Trif [10] generalized the Popoviciu functional equation”
- HOMOMORPHISMS BETWEEN C*-ALGEBRAS ASSOCIATED WITH THE TRIF FUNCTIONAL EQUATION AND LINEAR DERIVATIONS ON C*-ALGEBRAS (2004, unknown): “Recently, Trif [8] proved the following: let q := l(d−1) d−l , r := − l d−l .”
- Lie ∗-homomorphisms between Lie C∗-algebras and Lie ∗-derivations on Lie C∗-algebras (2004, unknown): “It follows from Trif theorem [9, Theo rem 3.1] that there exists a unique additive mappingL :A → B satisfying the inequality (2.xiii).”