On some inequalities for differentiable mappings and applications to special means of real numbers and to midpoint formula

KIRMACI U. S., Ozdemir M.

APPLIED MATHEMATICS AND COMPUTATION, cilt.153, sa.2, ss.361-368, 2004 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 153 Sayı: 2
  • Basım Tarihi: 2004
  • Doi Numarası: 10.1016/s0096-3003(03)00637-4
  • Dergi Adı: APPLIED MATHEMATICS AND COMPUTATION
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.361-368
  • Anahtar Kelimeler: Hermite-Hadamard inequality, convex functions, concave functions, special means, midpoint formula, integral inequalities
  • Atatürk Üniversitesi Adresli: Evet

Özet

Some inequalities are presented here for differentiable convex mappings, using Hermite-Hadamard's integral inequality holding for convex functions. A parallel development is deduced for differentiable concave functions. Some applications to special means of real numbers are also given. Finally, some error estimates for the midpoint formula are obtained. Published by Elsevier Inc.