On some integral inequalities for twice differentiable mappings

Sarkaya M. Z., Set E., ÖZDEMİR M. E.

STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA, sa.1, ss.11-24, 2014 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Basım Tarihi: 2014
  • Dergi Adı: STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
  • Sayfa Sayıları: ss.11-24
  • Bursa Uludağ Üniversitesi Adresli: Evet

Özet

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.