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초록· 키워드
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Given an m ∈ N and two vector spaces V and W, a function
f : V m → W is called multi-Jensen if it satisfies Jensen’s equation in
each variable separately. In this paper we unify these m Jensen equations
to obtain a single functional equation for f and prove its stability in the
sense of Hyers-Ulam, using the so-called direct method
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참고문헌 (4)
참고문헌 신청
G. L. Forti / 1995 / Hyers-Ulam stability of functional equations in several variables / Aequationes Math 50 (1) : 143 ~ 190
J.-H. Bae / 2006 / On the solution of a bi-Jensen functional equation and itsstability / Bull. Korean Math. Soc 43 (3) : 499 ~ 507
S. Czerwik / 2002 / Functional Equations and Inequalities in Several Variables / World Scientific Publishing Co., Inc.
W. Prager / 2005 / Multi-affine and multi-Jensen functions and their connection with generalized polynomials / Aequationes Math 69 (1) : 41 ~ 47
J.-H. Bae / 2006 / On the solution of a bi-Jensen functional equation and itsstability / Bull. Korean Math. Soc 43 (3) : 499 ~ 507
S. Czerwik / 2002 / Functional Equations and Inequalities in Several Variables / World Scientific Publishing Co., Inc.
W. Prager / 2005 / Multi-affine and multi-Jensen functions and their connection with generalized polynomials / Aequationes Math 69 (1) : 41 ~ 47
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