Solution of the Ulam stability problem for Euler-Lagrange-Jensen k-cubic mappings | Zendy

S. A. Mohiuddine | Zendy; John Michael Rassias | Zendy; Abdullah Alotaibi | Zendy

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Solution of the Ulam stability problem for Euler-Lagrange-Jensen k-cubic mappings

Author(s) -

S. A. Mohiuddine,

John Michael Rassias,

Abdullah Alotaibi

Publication year - 2016

Publication title -

filomat

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.449

H-Index - 34

eISSN - 2406-0933

pISSN - 0354-5180

DOI - 10.2298/fil1602305m

Subject(s) - mathematics , functional equation , stability (learning theory) , mathematical analysis , euler's formula , pure mathematics , cubic function , euler equations , partial differential equation , machine learning , computer science

The “oldest cubic” functional equation was introduced and solved by the second author of this paper (see: Glas. Mat. Ser. III 36(56) (2001), no. 1, 63-72). which is of the form: f(x + 2y) = 3f(x + y) + f(x − y) − 3f(x) + 6f(y). For further research in various normed spaces, we are introducing new cubic functional equations, and establish fundamental formulas for the general solution of such functional equations and for the “Ulam stability” of pertinent cubic functional inequalities.

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