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- Title
QUADRATIC ρ-FUNCTIONAL INEQUALITIES IN NON-ARCHIMEDEAN BANACH SPACES.
- Authors
SUNGSIK YUN
- Abstract
In this paper, we solve the quadratic ρ-functional inequalities ‖f(x + y) + f(x - y) - 2f(x) - 2f(y)‖ ≤ ‖ρ(4f (x + y/2) + f (x - y) - 2f (x) - 2f (y)) ‖, where ρ is a fixed non-Archimedean number with ∣ρ∣ < ∣2∣, and ‖4f (x + y/2) + f (x - y) - 2f (x) - 2f(y) ‖ ≤ ‖ρ(f(x + y) + f(x - y) - 2f (x) - 2f (y))‖, where ρ is a fixed non-Archimedean number with ∣ρ∣ < 1. Furthermore, we prove the Hyers-Ulam stability of the quadratic p-functional inequalities (0.1) and (0.2) in non-Archimedean Banach spaces.
- Subjects
MATHEMATICAL inequalities; ARCHIMEDEAN property; BANACH spaces; VALUED fields; TRIANGLE inequality
- Publication
Journal of Computational Analysis & Applications, 2018, Vol 25, Issue 8, p1425
- ISSN
1521-1398
- Publication type
Article