General solution and stability of quattuorvigintic functional equation in matrix paranormed spaces

Quattuortrigintic Functional Equation and its Hyers-Ulam Stability

“…In 1994, a generalization of Rassias theorem was obtained by Gâvruta [13] and this idea is known as generalized Hyers-Ulam-Rassias stability. After that, the general stability problems of various functional equations such as additive [23,24], quadratic [22,28], cubic [5,21,29,30], quartic [5,33], quintic and sextic [4,25,32], septic and octic [47], nonic [6,42], decic [3], undecic [40], quattuordecic [41], hexadecic [18], octadecic [26], vigintic [39], viginticduo [17], quattuorvigintic [27,38,35] and trigintic [8] and so on.…”

Trevigintic and quattuorvigintic functional equations in matrix normed spaces

“…where 23! = 25852016740000000000000, is said to be trevigintic functional equation if the function ζ (u) = au 23 is its solution and Murali et al, [17] found the general solution of the following equation 2) in matrix paranormed spaces. The above equation is called quattuordecic functional equation if the function f (u) = au 24 is its solution.In this paper, we determine the general solution of the functional equation (1.1) and we also prove the stability of the functional equations (1.1) and (1.2) in matrix normed space with the help of fixed point method.…”

Προβλήματα Συναρτησιακών Εξισώσεων

“…al. [89], έχει μελετηθεί η 24 ου βαθμού, [91], αλλά την απόδειξη της ισοδυναμίας των λύσεων με τις γνωστές πολυωνυμικές που αναφέραμε ή ανάλογες αυτών.…”