Mean-value type functional equations |
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Authors: | László Székelyhidi |
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Institution: | (1) Mathematical Institute, Lajos Kossuth University, Pf.12, H-4010, Hungary |
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Abstract: | Summary In this work the following two conjectures concerning mean-value type functional equations are proved: then-dimensional octahedron and cube equations are equivalent (conjectured by D. Z. Djokovi and H. Haruki), and the continuous solutions of these equations on
n
are linear combinations of a given harmonic polynomial (conjectured by H. Haruki). |
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Keywords: | Primary 39A10 39B40 Secondary 39B50 |
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