ADDITIVE FUNCTIONAL INEQUALITIES IN GENERALIZED QUASI-BANACH SPACES

Li, Lexin; Lu, Gang; Park, Choonkil; Shin, Dong Yun

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ADDITIVE FUNCTIONAL INEQUALITIES IN GENERALIZED QUASI-BANACH SPACES

Li, Lexin;
Lu, Gang;
Park, Choonkil;
Shin, Dong Yun

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WEB OF SCIENCE

15

Citations

SCOPUS

15

초록

In this paper, we investigate the Hyers-Ulam stability of the following function inequalities parallel to af(x) + bf(y) + cf(z)parallel to <= parallel to Kf (ax + by + cz)/K parallel to (0 < vertical bar K vertical bar < vertical bar a + b + c vertical bar), parallel to af(x) + bf(y) + Kf(z)parallel to <= parallel to Kf (ax + by/K + z)parallel to (0 < K < vertical bar a + b + K vertical bar), in generalized quasi-Banach spaces.

키워드

Hyers-Ulam stability; additive functional inequality; generalized quasi-Banach space; additive mapping; APPROXIMATELY LINEAR MAPPINGS; STABILITY; DERIVATIONS; HOMOMORPHISMS; EQUATION

제목: ADDITIVE FUNCTIONAL INEQUALITIES IN GENERALIZED QUASI-BANACH SPACES

저자: Li, Lexin; Lu, Gang; Park, Choonkil; Shin, Dong Yun

발행일: 2013-10

유형: Article

저널명: Journal of Computational Analysis and Applications

권: 15

호: 6

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