NEW INEQUALITIES FOR n- TIME DIFFERENTIABLE FUNCTIONS

YILDIZ Ç., ÖZDEMİR M. E.

Tbilisi Mathematical Journal, cilt.12, sa.2, ss.1-15, 2019 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 12 Sayı: 2
  • Basım Tarihi: 2019
  • Doi Numarası: 10.18514/mmn.2019.2489
  • Dergi Adı: Tbilisi Mathematical Journal
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Emerging Sources Citation Index (ESCI), Scopus
  • Sayfa Sayıları: ss.1-15
  • Anahtar Kelimeler: convex function, r-convex function, Holder integral inequality and power-mean integral inequality, HADAMARDS INEQUALITY
  • Bursa Uludağ Üniversitesi Adresli: Evet

Özet

In this work, by using an integral identity together with both the Holder and the Power-Mean integral inequality we establish several new inequalities for n-time differentiable r-convex and concave functions.