ON SOME INEQUALITIES OF SIMPSON'S TYPE VIA h-CONVEX FUNCTIONS

TUNÇ M., YILDIZ Ç., EKİNCİ A.

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, cilt.42, sa.4, ss.309-317, 2013 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 42 Sayı: 4
  • Basım Tarihi: 2013
  • Dergi Adı: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.309-317
  • Anahtar Kelimeler: h-convex and h-concave functions, Simpson's Inequality, Holder Inequality
  • Atatürk Üniversitesi Adresli: Evet

Özet

In this paper, we prove some new inequalities of Simpson's type for functions whose derivatives of absolute values are h-convex and h-concave functions. Some new estimations are obtained. Also we give some sophisticated results for some different kinds of convex functions.