On the Stability of the Monomial Functional Equation

Abstract

In this paper, we modify L.Cȃdariu and V. Radu's result for the stability of the monomial functional equation n i=0 nCi(−1) n−i f (ix + y) − n!f (x) = 0 in the sense of Th. M. Rassias. Also, we investigate the superstability of the monomial functional equation.

Hyperstability of the Fréchet Equation and a Characterization of Inner Product Spaces

“…For some analogous investigations see [27][28][29]. Let us mention yet that stability of (7) has been already studied in [30][31][32][33] and our results complement the outcomes included there.…”

Fuzzy stability of a mixed type functional equation

“…Subsequently, his result was generalized by Aoki [3] for additive mappings and by Rassias [4] for linear mappings, for considering the stability problem with unbounded Cauchy differences. During the last decades, the stability problems of functional equations have been extensively investigated by a number of mathematicians, see [5][6][7][8][9][10][11][12][13][14][15][16][17].…”

A general uniqueness theorem concerning the stability of monomial functional equations in fuzzy spaces

“…1 Department of Mathematics Education, Gongju National University of Education, Gongju, 314-711, Republic of Korea. 2 Mathematics Section, College of Science and Technology, Hongik University, Sejong, 339-701, Republic of Korea.…”