New Weighted Inequalities for Higher Order Derivatives and Applications

Erden S., Sarikaya M. Z., Budak H.

FILOMAT, sa.12, ss.4419-4433, 2018 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Basım Tarihi: 2018
  • Doi Numarası: 10.2298/fil1812419e
  • Dergi Adı: FILOMAT
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.4419-4433
  • Kocaeli Üniversitesi Adresli: Hayır

Özet

We establish a new Ostrowski type inequality for (n + 1)-times differentiable mappings which are bounded. Then, some new inequalities of Hermite-Hadamard type are obtained for functions whose (n + 1) th derivatives in absolute value are convex. Spacial cases of these inequalities reduce some well known inequalities. With the help of obtained inequalities, we give applications for the kth-moment of random variables.