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Dergiler / Gazi University Journal of Science / 2018 / Volume: 31 Issue: 4

Some integral inequalities for s-convex functions

Ye Shuang
Feng Qı0000-0001-6239-2968
Sayfa
—
Yayın Tarihi
2018-12-01
DOI
—
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

In the paper, by virtue of an integral identity and the H\"older inequality for integrals, the authors establish some new inequalities of the Hermite--Hadamard type for $s$-convex functions, derives some new inequalities for common convex functions, and apply these new results to construct some inequalities for special means.

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Amaç & Hipotez:In the paper, by virtue of an integral identity and the H\"older inequality for integrals, the authors establish some new inequalities of the Hermite--Hadamard type for $s$-convex functions, derives some new inequalities for common convex functions, and apply these new results to construct some inequalities for special means.
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Temel Bulgular & Veri:In the paper, by virtue of an integral identity and the H\"older inequality for integrals, the authors establish some new inequalities of the Hermite--Hadamard type for $s$-convex functions, derives some new inequalities for common convex functions, and apply these new results to construct some inequalities for special means.
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Sonuç & Katkı:In the paper, by virtue of an integral identity and the H\"older inequality for integrals, the authors establish some new inequalities of the Hermite--Hadamard type for $s$-convex functions, derives some new inequalities for common convex functions, and apply these new results to construct some inequalities for special means.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:s-Convex Function · Hermite-Hadamard · Type ınequality

Abstract

In the paper, by virtue of an integral identity and the H\"older inequality for integrals, the authors establish some new inequalities of the Hermite--Hadamard type for $s$-convex functions, derives some new inequalities for common convex functions, and apply these new results to construct some inequalities for special means.

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Bu Makaleye Atıf Yap

Shuang, Y., Qı, F. (2018). Some integral inequalities for s-convex functions. Gazi University Journal of Science, Volume: 31 Issue: 4. https://ajindex.com/articles/1269238

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Kaynakça (12)

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