The Sharper Versıon For Generalızed Power Mean Inequalıtıes Wıth Negatıve Exponent

Tınaztepe R., Tınaztepe G., Eken Z., Sezer S., Kemali S., Yeşilce Işık İ., ...Daha Fazla

JOURNAL OF MATHEMATICAL INEQUALITIES, cilt.17, sa.1, ss.99-111, 2023 (SCI-Expanded)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 17 Sayı: 1
  • Basım Tarihi: 2023
  • Dergi Adı: JOURNAL OF MATHEMATICAL INEQUALITIES
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH
  • Sayfa Sayıları: ss.99-111
  • Akdeniz Üniversitesi Adresli: Evet

Özet

In this study, the generalized power mean inequalities with a negative parameter are refined using an optimality theorem on the generator function. The optimality theorem requires the study of different cases for the exponents and yields a refinement of the inequality in a neighbourhood of the vectors for which the equality occurs. Then, these local inequalities are generalized to all positive vectors by an appropriate selection of parameters.