Identyfikatory
Warianty tytułu
Języki publikacji
Abstrakty
We consider the stability problem for a class of functional equations related to the Popoviciu equation.
Słowa kluczowe
Czasopismo
Rocznik
Tom
Strony
317--325
Opis fizyczny
Bibliogr. 12 poz.
Twórcy
autor
- University of Rzeszów Department of Mathematics Rejtana 16 C, 35-959 Rzeszów, Poland, mchudziak@univ.rzeszow.pl
Bibliografia
- [1] J. Brzdęk, On a method of proving the Hyers-Ulam stability of functional equations on restricted domains, Austr. J. Math. Anal. Appl. 6, Article 4 (2009), 1–10.
- [2] J. Brzdęk, A note on stability of the Popoviciu functional equation on restricted domain, Demonstratio Math. 43 (2010), 635–641.
- [3] M. Chudziak, On a generalization of the Popoviciu equation on groups, Ann. Acad. Paedagog. Cracov., Stud. Math., 9 (2010), 49–53.
- [4] W. Fechner, On the Hyers-Ulam stability of functional equations connected with additive and quadratic mappings, J. Math. Anal Appl. 322 (2006), 774–786.
- [5] S.-M. Jung, On the Hyers-Ulam stability of the functional equations that have the quadratic property, J. Math. Anal. Appl. 222 (1998), 126–137.
- [6] P. Kannappan, Quadratic functional equation and inner product spaces, Results Math. 27 (1995), 368–372.
- [7] Y.W. Lee, On the stability on a quadratic Jensen type functional equation, J. Math. Anal. Appl. 270 (2002), 590–601.
- [8] Y.W. Lee, Stability of a generalized quadratic functional equation with Jensen type, Bull. Korean Math. Soc. 42 (2005), 57–73.
- [9] T. Popoviciu, Sur certaines inégalités qui caractérisent les fonctions convexes, An. Ştünţt. Univ. “Al. I. Cuza” Iaşi Secţ. I a Mat. (N.S.) 11 (1965), 155–164.
- [10] T. Trif, Hyers-Ulam-Rassias stability of a Jensen type functional equation, J. Math. Anal. Appl. 250 (2000), 579–588.
- [11] T. Trif, On the stability of a functional equation deriving from an inequality of Popoviciu for convex functions, J. Math. Anal. Appl. 272 (2002), 604–616.
- [12] W. Smajdor, Note on a Jensen type functional equation, Publ. Math. Debrecen 63 (2003), 703–714.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-AGHT-0005-0061