SOME NEW INTEGRAL INEQUALITIES FOR FUNCTIONS WHOSE DERIVATIVES OF ABSOLUTE VALUES ARE CONVEX AND CONCAVE
TWMS JOURNAL OF PURE AND APPLIED MATHEMATICS, sa.2, ss.212-224, 2019 (SCI-Expanded)
- Yayın Türü: Makale / Tam Makale
- Basım Tarihi: 2019
- Dergi Adı: TWMS JOURNAL OF PURE AND APPLIED MATHEMATICS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED)
- Sayfa Sayıları: ss.212-224
- Bursa Uludağ Üniversitesi Adresli: Evet
Özet
In this paper, we prove some new inequalities for the functions whose derivatives' absolute values are convex and concave by dividing the interval [a, b] to n + 1 equal even sub-intervals. We obtain some new results involving intermediate values of vertical bar f'vertical bar in [a, b] by using some classical inequalities like Hermite-Hadamard, Holder and Power-Mean.