New Weighted Inequalities for Higher Order Derivatives and Applications

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

FILOMAT, no.12, pp.4419-4433, 2018 (SCI-Expanded, Scopus) identifier

  • Publication Type: Article / Article
  • Publication Date: 2018
  • Doi Number: 10.2298/fil1812419e
  • Journal Name: FILOMAT
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.4419-4433
  • Kocaeli University Affiliated: No

Abstract

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.