ON SOME INEQUALITIES OF SIMPSON'S TYPE VIA h-CONVEX FUNCTIONS
HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, cilt.42, sa.4, ss.309-317, 2013 (SCI-Expanded, Scopus, TRDizin)
- 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.