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New approach to the Huygens, Wilker, Cusa and Mitrinović–Adamović type inequalities

Monika Nowicka, Alfred Witkowski Bulletin Polish Acad. Sci. Math. MSC: Primary 26D05; Secondary 97I20 DOI: 10.4064/ba250521-13-7 Opublikowany online: 21 July 2025

Streszczenie

We show how the Huygens, Cusa, Wilker and Mitrinović–Adamović inequalities and their counterparts involving hyperbolic, inverse trigonometric and inverse hyperbolic functions can be deduced from elementary properties of convex functions and an elementary integral inequality.

Autorzy

  • Monika NowickaInstitute of Mathematics and Physics
    Bydgoszcz University of Science and Technology
    85-796 Bydgoszcz, Poland
    e-mail
  • Alfred WitkowskiAUDoMAT
    85-085 Bydgoszcz, Poland
    e-mail

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