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Dergiler / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2019 / Cilt: 68 - Sayı: 2

Some generalized Hermite-Hadamard type inequalities by using the harmonic convexity of differentiable mappings

Muhammad Amer LATİF
Sabir HUSSAİN
Sayfa
1543–1555
Yayın Tarihi
2019-08-01
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

It is expected that the results established in this paper contain previously established results asspecial cases.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this paper, a general identity involving a di¤erentiable mapping is established.
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Temel Bulgular & Veri:By using mathematical analysis, Hölder inequality and some auxiliary results, new generalized Hermite Hadamard type inequalities for differentiable harmonically-convex functions are established.
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Sonuç & Katkı:It is expected that the results established in this paper contain previously established results asspecial cases.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Hermite-Hadamard’s inequality · convex function · harmonic convex function

Abstract

In this paper, a general identity involving a di¤erentiable mapping is established. By using mathematical analysis, Hölder inequality and some auxiliary results, new generalized Hermite Hadamard type inequalities for differentiable harmonically-convex functions are established. It is expected that the results established in this paper contain previously established results asspecial cases.

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Bu Makaleye Atıf Yap

LATİF, M. A., HUSSAİN, S. (2019). Some generalized Hermite-Hadamard type inequalities by using the harmonic convexity of differentiable mappings. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Cilt: 68 - Sayı: 2, 1543–1555. https://ajindex.com/articles/746925

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Kaynakça (10)

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  2. Hadamard, J., Étude sur les Propriétés des Fonctions Entières en Particulier d'une Fonction Considérée par Riemann. Journal de Mathématique Pures et Appliquées, 58, 171-215.
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  4. İscan, İ. and Wu, S., Hermite-Hadamard type inequalities for harmonically convex functions via fractional integrals, Applied Mathematics and Computation, 238 (2014) 237-244.
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  7. Noor, M. A., Noor, K. I. and Iftikhar, S., Hermite-Hadamard inequalities for strongly harmonic convex functions, J. Inequal. Spec. Funct., 7 (2016) 99-113.
  8. Aslam Noor, M., Inayat Noor, K. and Iftikhar, S., Some Newton's type inequalities for harmonic convex functions, J. Adv. Math. Stud., 9 (1) (2016) 7-16.
  9. Awan, M. U., Aslam Noor, M. M., Mihai, V. and Inayat Noor, K., Inequalities via harmonic convex functions: conformable fractional calculus approach, J. Math. Inequal., 12 (1) (2018) 143-153.
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