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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2013 / Cilt: 42 - Sayı: 3

SOME HERMITE-HADAMARD TYPE INEQUALITIES FOR DIFFERENTIABLE CONVEX FUNCTIONS AND APPLICATIONS

Bo-Yan Xİ
Feng Qİ
Sayfa
243–257
Yayın Tarihi
2022-10-18
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

In the paper, the authors offer some new inequalities for differentiableconvex functions, which are connected with Hermite-Hadamard integralinequality, and apply these inequalities to special means of two positivenumbers.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In the paper, the authors offer some new inequalities for differentiableconvex functions, which are connected with Hermite-Hadamard integralinequality, and apply these inequalities to special means of two positivenumbers.
📊
Temel Bulgular & Veri:In the paper, the authors offer some new inequalities for differentiableconvex functions, which are connected with Hermite-Hadamard integralinequality, and apply these inequalities to special means of two positivenumbers.
💡
Sonuç & Katkı:In the paper, the authors offer some new inequalities for differentiableconvex functions, which are connected with Hermite-Hadamard integralinequality, and apply these inequalities to special means of two positivenumbers.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Abstract

In the paper, the authors offer some new inequalities for differentiableconvex functions, which are connected with Hermite-Hadamard integralinequality, and apply these inequalities to special means of two positivenumbers.

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Bu Makaleye Atıf Yap

Xİ, B., Qİ, F. (2022). SOME HERMITE-HADAMARD TYPE INEQUALITIES FOR DIFFERENTIABLE CONVEX FUNCTIONS AND APPLICATIONS. Hacettepe Journal of Mathematics and Statistics, Cilt: 42 - Sayı: 3, 243–257. https://ajindex.com/articles/530408

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Kaynakça (12)

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  7. Qi, F. Bounds for the ratio of two gamma functions, J. Inequal. Appl. 2010, Article ID 493058, 84 pages, 2010
  8. Qi, F., Wei, Z.-L. and 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. and Qi, F. On Hermite-Hadamard type inequalities for (?, m)-convex functions, Int. J. Open Probl. Comput. Sci. Math. 5 (4), 47-56, 2012
  10. Wang, S.-H., Xi, B.-Y. and Qi, F. Some new inequalities of Hermite-Hadamard type for n-time differentiable functions which are m-convex, Analysis (Munich) 32 (3), 247-262, 2012
  11. Xi, B.-Y., Bai, R.-F. and Qi, F. Hermite-Hadamard type inequalities for the m- and (?, m)- geometrically convex functions, Aequationes Math. 84 (3), 261-269, 2012
  12. Xi, B.-Y. and Qi, F. Some integral inequalities of Hermite-Hadamard type for convex functions with applications to means, J. Funct. Spaces Appl. 2012, Article ID 980438, 14 pages, 2012.