Hermite-Hadamard Type Inequalities Related to s-Convex Functions in the Third Sense

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Atıf İçin Kopyala

Eken Z.

Turkish Journal of Mathematics and Computer Science, cilt.13, sa.2, ss.318-330, 2021 (Hakemli Dergi)

• 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.