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Dergiler / Universal Journal of Mathematics and Applications / 2021 / Cilt: 4 - Sayı: 3

Refinements of Hermite-Hadamard Type Inequalities for s-Convex Functions with Applications to Special Means

Uğur Selamet KIRMACI
Sayfa
114–124
Yayın Tarihi
2021-09-30
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Some applications to special means for real numbers are also given.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this paper, we establish some Hermite-Hadamard type inequalities for s-convex functions in the first and second sense.
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Temel Bulgular & Veri:In this paper, we establish some Hermite-Hadamard type inequalities for s-convex functions in the first and second sense.
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Sonuç & Katkı:Some applications to special means for real numbers are also given.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Hermite-Hadamard inequality · convex functions · s-convex functions

Abstract

In this paper, we establish some Hermite-Hadamard type inequalities for s-convex functions in the first and second sense. Some applications to special means for real numbers are also given.

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Bu Makaleye Atıf Yap

KIRMACI, U. S. (2021). Refinements of Hermite-Hadamard Type Inequalities for s-Convex Functions with Applications to Special Means. Universal Journal of Mathematics and Applications, Cilt: 4 - Sayı: 3, 114–124. https://ajindex.com/articles/819916

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Kaynakça (8)

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  2. M. W. Alomari, M. Darus, U. S. Kirmaci, Some inequalities of Hermite- Hadamard type for s-convex functions, Acta Math. Sci. Ser. B Eng. Ed. 31 (2011), 1643-1652
  3. S.S. Dragomir, R.P. Agarwal, Two inequalities for differentiable mappings and applications to special means of real numbers and to trapezoidal formula, Appl. Math. Lett. 11 (1998) 91–95
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  8. T. Du, Y. Li, Z. Yang, A generalization of simpson’s inequality via differentiable mapping using extended (s,m)-convex functions, Appl. Math. Comput. 293 (2017) 358-369.