Improvement and further generalization of inequalities for differentiable mappings and applications

KIRMACI U. S.

COMPUTERS & MATHEMATICS WITH APPLICATIONS, cilt.55, sa.3, ss.485-493, 2008 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 55 Sayı: 3
  • Basım Tarihi: 2008
  • Doi Numarası: 10.1016/j.camwa.2007.05.004
  • Dergi Adı: COMPUTERS & MATHEMATICS WITH APPLICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.485-493
  • Anahtar Kelimeler: hermite-hadamard inequality, convex functions, concave functions, integral inequalities, differentiable mappings, REAL NUMBERS, MIDPOINT FORMULA
  • Atatürk Üniversitesi Adresli: Evet

Özet

Based on the celebrated Hermite-Hadamard integral inequality for convex functions, some inequalities for differentiable convex and concave mappings are generalized. Furthermore, the results obtained are examined in the context of special means for real numbers. Published by Elsevier Ltd.