Summary
LetX be an abelian (topological) group andY a normed space. In this paper the following functional inequality is considered: {ie143-1} This inequality is a similar generalization of the Pexider equation as J. Tabor's generalization of the Cauchy equation (cf. [3], [4]). The solutions of our inequality have similar properties as the solutions of the Pexider equation. Continuity and related properties of the solutions are investigated as well.
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Dedicated to the memory of Alexander M. Ostrowski on the occasion of the 100th anniversary of his birth.
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Chmieliński, J., Tabor, J. On approximate solutions of the Pexider equation. Aeq. Math. 46, 143–163 (1993). https://doi.org/10.1007/BF01834004
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DOI: https://doi.org/10.1007/BF01834004