Hermite-Hadamard Type Inequalities Related to s-Convex Functions in the Third Sense
Turkish Journal of Mathematics and Computer Science, cilt.13, sa.2, ss.318-330, 2021 (TRDizin)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 13 Sayı: 2
- Basım Tarihi: 2021
- Doi Numarası: 10.47000/tjmcs.909498
- Dergi Adı: Turkish Journal of Mathematics and Computer Science
- Derginin Tarandığı İndeksler: TR DİZİN (ULAKBİM)
- Sayfa Sayıları: ss.318-330
- Akdeniz Üniversitesi Adresli: Evet
Özet
In this paper, some Hermite-Hadamardtype inequalitesfor $s$-convex functions in the third sense are studied. It is establishedseveral new inequalities for functions whose derivative in absolute value and $p$th power of its derivative in absolute valueare $s$-convex in the third sense. In addition, these inequalities are used to find an upper bound for error in numerical integration for this type offunctions.