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- W4280496260 abstract "We prove new results on Ulam stability of the nonhomogeneous Cauchy functional equation f(x+y)=f(x)+f(y)+d(x,y) in the class of mappings f from a square symmetric groupoid (H,+) into the set of reals R. The mapping d:H2→R is assumed to be given and satisfy some weak natural assumption. The equation arises naturally, e.g., in the theory of information in a description of generating functions of branching measures of information. Moreover, we provide a suitable example of application of our results in this area at the very end of this paper. The main tool used in the proofs is the Banach limit." @default.
- W4280496260 created "2022-05-22" @default.
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- W4280496260 date "2022-05-15" @default.
- W4280496260 modified "2023-10-18" @default.
- W4280496260 title "Banach Limit and Ulam Stability of Nonhomogeneous Cauchy Equation" @default.
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- W4280496260 doi "https://doi.org/10.3390/math10101695" @default.
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