Multiplicative Inverse Functional Equations by B. V. Senthil Kumar & Hemen Dutta

Author:B. V. Senthil Kumar & Hemen Dutta
Language: eng
Format: epub
ISBN: 9783030453558
Publisher: Springer International Publishing

We find that that is bounded by on . If then the left hand side of (4.23) is less than . Now, suppose that . Hence, there exists a positive integer m such that

(4.25)

Hence, the inequality (4.25) produces , or equivalently; . So, . Hence, the last inequalities imply and as a result, we find Hence, for every value of , we obtain

and for . Applying (4.21) and the definition of , we obtain

for all . This means that the inequality (4.23) holds. We claim that the multiplicative inverse septendecic functional equation (4.1) is unstable for in Corollary 4.2.4. Assume that there exists a multiplicative inverse septendecic mapping satisfying (4.24). So, we have

Download

Copyright Disclaimer:
This site does not store any files on its server. We only index and link to content provided by other sites. Please contact the content providers to delete copyright contents if any and email us, we'll remove relevant links or contents immediately.