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

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



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