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Dergiler / Eastern Anatolian Journal of Science / 2018 / Cilt: 4 - Sayı: 1

On Some Inequalities for Convex and s-Convex Functions

Mustafa GÜRBÜZ
M. Emin OZDEMIR
Merve AVCI ARDIÇ
Sayfa
37–44
Yayın Tarihi
2018-05-31
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

In this paper, we present some integral inequalities for convex and s-convex functions and we give some remarks and corollaries.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this paper, we present some integral inequalities for convex and s-convex functions and we give some remarks and corollaries.
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Temel Bulgular & Veri:In this paper, we present some integral inequalities for convex and s-convex functions and we give some remarks and corollaries.
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Sonuç & Katkı:In this paper, we present some integral inequalities for convex and s-convex functions and we give some remarks and corollaries.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Convex functions · Hermite-Hadamard Inequality · s-convex functions.

Abstract

In this paper, we present some integral inequalities for convex and s-convex functions and we give some remarks and corollaries.

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Bu Makaleye Atıf Yap

GÜRBÜZ, M., OZDEMIR, M. E., ARDIÇ, M. A. (2018). On Some Inequalities for Convex and s-Convex Functions. Eastern Anatolian Journal of Science, Cilt: 4 - Sayı: 1, 37–44. https://ajindex.com/articles/751613

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Kaynakça (6)

  1. Alomari, M.W., A companion of Dragomir's generalization of Ostrowski's inequality and applications in numerical integration, RGMIA Res. Rep. Coll., Vol. 14, Article 50, 2011
  2. Alomari, M.W., Özdemir, M.E., and Kavurmaci, H., On companion of Ostrowski inequality for mappings whose first derivatives absolute value are convex with applications, Miskolch Mathematical Notes, 13(2) (2012), 233-248
  3. Hudzik, H., Maligranda, L., Some remarks on s-convex functions, Aequationes Math. 48 (1994), 100-111
  4. Kavurmaci, H., Bazı farklı türden konveks fonksiyonlar için Ostrowski ve Hermite-Hadamard tipli integral eşitsizlikleri, Ph. D. Thesis, Atatürk University, 2012
  5. Ostrowski, A., Uber die Absolutabweichung einer di¤erentierbaren Funktion von ihren Integralmittelwert, Comment. Math. Helv., 10 (1938), 226-227
  6. Kashuri, A., Liko, R. and Du, T., Some New Ostrowski Type Inequalities Concerning Differentiable Generalized Relative Semi-(r; m; p; q; h1; h2)-Preinvex Mappings, Turkish Journal of Analysis and Number Theory, 6 (1) (2018), 16-29.