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<p>The concept of <InlineEquation ID="IEq4"> <EquationSource Format="TEX">\(C_{2}\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>C</mi> <mn>2</mn> </msub> </math></EquationSource> </InlineEquation>-cyclic mean is introduced and studied in this paper. The unique symmetric and sufficiently regular two-variable means that are <InlineEquation ID="IEq5"> <EquationSource Format="TEX">\(C_{2}\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>C</mi> <mn>2</mn> </msub> </math></EquationSource> </InlineEquation>-cyclic turn out to be quasiarithmetic. Besides a proof of this fact, several related examples and remarks are given.</p>

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\(C_{2}\)-cyclic means

  • 期刊论文

  • 发表日期：

    2026年3月16日

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  • Lucio R. Berrone,
  • Gerardo E. Sbérgamo

摘要

The concept of \(C_{2}\) C 2 -cyclic mean is introduced and studied in this paper. The unique symmetric and sufficiently regular two-variable means that are \(C_{2}\) C 2 -cyclic turn out to be quasiarithmetic. Besides a proof of this fact, several related examples and remarks are given.