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CUBIC ρ-FUNCTIONAL INEQUALITY AND QUARTIC ρ-FUNCTIONAL INEQUALITY.
- Source :
-
Journal of Computational Analysis & Applications . Jul2016, Vol. 21 Issue 1, p355-362. 8p. - Publication Year :
- 2016
-
Abstract
- In this paper, we solve the following cubic p-functional inequality Il f (2x + y) + f (2x - y) - 2f (x + y) - 2f (x - y) - 12f (x)|| where p is a fixed complex number with | ρ| < 2, and the quartic ρ-functional inequality ||f (2x + y) + f (2x - y) - 4 f (x + y) - 4f (x - y) - 24f (x) + 6f(y)||... where ρ is a fixed complex number with | ρ| < 2. Using the direct method, we prove the Hyers-Ulam stability of the cubic ρ-functional inequality (0.1) and the quartic ρ-functional inequality (0.2) in complex Banach spaces. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 15211398
- Volume :
- 21
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Journal of Computational Analysis & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 111215400