On some integral inequalities for twice differentiable mappings

Sarkaya M. Z., Set E., ÖZDEMİR M. E.

STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA, no.1, pp.11-24, 2014 (ESCI) identifier

  • Publication Type: Article / Article
  • Publication Date: 2014
  • Journal Name: STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA
  • Journal Indexes: Emerging Sources Citation Index (ESCI)
  • Page Numbers: pp.11-24
  • Bursa Uludag University Affiliated: Yes

Abstract

In this paper, we establish several new inequalities for some twice differantiable mappings. Then, we apply these inequalities to obtain new midpoint, trapezoid and perturbed trapezoid rules. Finally, some applications for special means of real numbers are provided.