On refinements of some integral inequalities for differentiable prequasiinvex functions


ÖZCAN S.

Filomat, cilt.33, sa.14, ss.4377-4385, 2019 (SCI-Expanded, Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 33 Sayı: 14
  • Basım Tarihi: 2019
  • Doi Numarası: 10.2298/fil1914377o
  • Dergi Adı: Filomat
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.4377-4385
  • Anahtar Kelimeler: Hermite-Hadamard inequality, invex set, preinvex function, prequasiinvex, Holder's integral inequality, power-mean inequality, Holder-Iscan integral inequality
  • Kırklareli Üniversitesi Adresli: Evet

Özet

In this paper, using the new and improved form of Hölder’s integral inequality called Hölder-İşcan integral inequality, some new inequalities of the right-hand side of Hermite-Hadamard type inequality for prequasiinvex functions are established. The results obtained are compared with the known results. It is shown that the results obtained in this paper are better than those known ones.