Semi P-geometric-arithmetically functions and some new related inequalities

Kadakal M., İşcan İ., Kadakal H.

Filomat, cilt.37, sa.21, ss.7017-7028, 2023 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 37 Sayı: 21
  • Basım Tarihi: 2023
  • Doi Numarası: 10.2298/fil2321017k
  • Dergi Adı: Filomat
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH
  • Sayfa Sayıları: ss.7017-7028
  • Anahtar Kelimeler: Subject Classification, Convex function, semi P-function, semi P-GA function, Hermite-Hadamard can, HERMITE-HADAMARD TYPE
  • Karadeniz Teknik Üniversitesi Adresli: Hayır

Özet

In this manuscript, the authors introduce the concept of the semi P-geometric–arithmetically functions (semi P-GA functions) and give their some algebraic properties. Then, they get Hermite-Hadamard’s integral inequalities for semi P-GA-functions (geometric-arithmetically convex). In addition, the authors obtain new inequalities by using Hölder and Hölder-İşcan integral inequalities with the help of an identity. Then, the aouthors compare the results obtained with both Hölder, Hölder-İşcan integral inequalities and prove that the Hölder-İşcan integral inequality gives a better approximation than the Hölder integral inequality. Also, some applications to special means of real numbers are also given.