An International Journal

Home 9 Keyword: Quartic Functional Equation
Quartic Functional Equation
Open AccessArticle

Stability of finite variable quartic functional equation in classical methods

Annals of Communications in Mathematics 2020

, 3 (4)

, 285-292

DOI: https://doi.org/10.62072/acm.2020.030405

AbstractIn this work, we investigate the Hyers-Ulam stability by using direct and fixed point methods for the quartic functional equation for positive integer p ≥ 3.
Open AccessArticle

Ulam stability for finite variable quadratic functional equation in Banach algebra

Annals of Communications in Mathematics 2020

, 3 (2)

, 177-184

DOI: https://doi.org/10.62072/acm.2020.030207

AbstractHere, we define a cube sum labeling and cube sum graph. Let G be a (p, q) graph. G is said to be a cube sum graph if there exist a bijection f : V (G) → {0, 1, . . . , p − 1} such that the induced function f ∗ : E(G) → N given by are all distinct. In this paper, we developed the concept of cube sum labeling of some family of graphs like paths, cycle, stars, wheel graph, fan graphs are discussed in this paper.