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Dergiler / Gazi University Journal of Science / 2018 / Cilt: 31 - Sayı: 4

Some Integral Inequalities for s-Convex Functions

Ye SHUANG
Feng QI
Sayfa
1192–1200
Yayın Tarihi
2022-10-19
DOI
—
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

In the paper, by virtue of an integral identity and the Hölder inequality for integrals, the authorsestablish some new inequalities of the Hermite-Hadamard type for -convex functions, derivesome new inequalities of common convex functions, and apply these new results to constructsome inequalities for special means.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In the paper, by virtue of an integral identity and the Hölder inequality for integrals, the authorsestablish some new inequalities of the Hermite-Hadamard type for -convex functions, derivesome new inequalities of common convex functions, and apply these new results to constructsome inequalities for special means.
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Temel Bulgular & Veri:In the paper, by virtue of an integral identity and the Hölder inequality for integrals, the authorsestablish some new inequalities of the Hermite-Hadamard type for -convex functions, derivesome new inequalities of common convex functions, and apply these new results to constructsome inequalities for special means.
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Sonuç & Katkı:In the paper, by virtue of an integral identity and the Hölder inequality for integrals, the authorsestablish some new inequalities of the Hermite-Hadamard type for -convex functions, derivesome new inequalities of common convex functions, and apply these new results to constructsome inequalities for special means.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Abstract

In the paper, by virtue of an integral identity and the Hölder inequality for integrals, the authorsestablish some new inequalities of the Hermite-Hadamard type for -convex functions, derivesome new inequalities of common convex functions, and apply these new results to constructsome inequalities for special means.

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Bu Makaleye Atıf Yap

SHUANG, Y., QI, F. (2022). Some Integral Inequalities for s-Convex Functions. Gazi University Journal of Science, Cilt: 31 - Sayı: 4, 1192–1200. https://ajindex.com/articles/521419

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Kaynakça (10)

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  2. Kirmaci, U.S., Bakula, M.K., Özdemir, M.E., Pečarić, J., “Hadamard-type inequalities for - convex functions”, Appl. Math. Comput., 193 (1): 26-35, (2007).
  3. Hussain, S., Bhatti, M.I., Iqbal, M., “Hadamard-type inequalities for -convex functions I”, Punjab Univ. J. Math. (Lahore), 41: 51-60, (2009).
  4. Sarikaya, M.Z., Set, E., Özdemir, M.E., “On new inequalities of Simpson’s type for -convex functions”, Comput. Math. Appl., 60 (8): 2191-2199, (2010).
  5. Bai, R.-F., Qi, F., Xi, B.-Y., “Hermite-Hadamard type inequalities for the - and - logarithmically convex functions”, Filomat, 27(1): 1-7, (2013).
  6. Bai, S.-P., Wang, S.-H., Qi, F., “Some Hermite-Hadamard type inequalities for -time differentiable -convex functions”, J. Inequl. Appl., 267:11 pages, (2012).
  7. Chun, L., Qi, F., “Integral inequalities of Hermite-Hadamard type for functions whose third derivatives are convex”, J. Inequl. Appl., 451(1):10 pages, (2013).
  8. Qi, F., Wei, Z.-L., Yang, Q., “Generalizations and refinements of Hermite-Hadamard’s inequality”, Rocky Mountain J. Math., 35 (1): 235-251, (2005).
  9. Wang, S.-H., Xi, B.-Y., Qi, F., “Some new inequalities of Hermite-Hadamard type for -time differentiable functions which are -convex”, Analysis (Munich), 32 (3): 247-262, (2012).
  10. Xi, B.-Y., Qi, F., “Some Hermite-Hadamard type inequalities for differentiable convex functions and applications”, Hacet. J. Math. Stat., 42 (3): 243-257, (2013).