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Abstract Pythagorean Theorem and Corresponding Functional Equations

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Publication:2843900
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DOI10.2478/TMMP-2013-0020zbMath1313.39034OpenAlexW2088755165WikidataQ114041278 ScholiaQ114041278MaRDI QIDQ2843900

Roman Ger

Publication date: 26 August 2013

Published in: Tatra Mountains Mathematical Publications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/tmmp-2013-0020


zbMATH Keywords

functional equationassociativityquasi-arithmetic meancontinuously differentiable solutionsPythagorean lawquasi sum


Mathematics Subject Classification ID

Functional equations for real functions (39B22)


Related Items (3)

Relation between electrical resistance and conductance using multifarious functional equations and applications to parallel circuit ⋮ P-means and the solution of a functional equation involving Cauchy differences ⋮ The stability of generalized reciprocal-negative Fermat's equations in quasi-$\beta$-normed spaces




Cites Work

  • A consistency equation for three geometries
  • The Associativity of the Pythagorean Law
  • Unnamed Item




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