NEW OSTROWSKI TYPE INEQUALITIES FOR m-CONVEX FUNCTIONS AND APPLICATIONS

Kavurmaci H., ÖZDEMİR M. E., Avci M.

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, cilt.40, sa.2, ss.135-145, 2011 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 40 Sayı: 2
  • Basım Tarihi: 2011
  • Dergi Adı: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.135-145
  • Anahtar Kelimeler: m-convex function, Starshaped function, Convex function, Ostrowski inequality, Hermite-Hadamard inequality, Holder inequality, Power Mean inequality, Special means, The midpoint formula, Lipschitzian mapping, DIFFERENTIABLE MAPPINGS
  • Bursa Uludağ Üniversitesi Adresli: Evet

Özet

In this paper we establish new inequalities of Ostrowski type, for functions whose derivatives in absolute value are m-convex. We also give some applications to special means of positive real numbers. Finally, we obtain some error estimates for the midpoint formula.