This research explores how small changes in ordinary means affect their defining properties, indicating potential new mean functions.
We begin by investigating how small changes in the definition of ordinary means affect their properties, particularly the property of being a mean. In this direction, we look for weakenings of the basic defining property of means. Consequently, we introduce weaker notions in two directions. We study these functions and provide many examples.
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Attila Losonczi (2026) studied this question.
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