A theorem on mappings with bounded derivatives with applications to quadrature rules and means

Ozdemir M. E.

APPLIED MATHEMATICS AND COMPUTATION, cilt.138, ss.425-434, 2003 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 138
  • Basım Tarihi: 2003
  • Doi Numarası: 10.1016/s0096-3003(02)00146-7
  • Dergi Adı: APPLIED MATHEMATICS AND COMPUTATION
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.425-434
  • Bursa Uludağ Üniversitesi Adresli: Evet

Özet

In this paper, we establish a new inequality of Theorem 2 [Appl. Math. Lett. 13 (2000) 19] (Dragomir's integral inequality) for functions whose derivatives are bounded. This has immediate applications in numerical integration where new estimates are obtained for the remainder term of the trapezoid, mid-point. Some natural applications to special means of real numbers are given. For several recent results concerning Dragomir's integral inequality (see [Appl. Math. Lett. 13 (2000) 191] where further references are listed). (C) 2002 Elsevier Science Inc. All rights reserved.