KaydedilenlerDerginizi ekleyin

Dergiler / Konuralp Journal of Mathematics / 2019 / Volume: 7 Issue: 2

Inequalities of Hermite-Hadamard and Bullen Type for Three Times Differentiable $AH$-Convex Functions

Huriye Kadakal(Giresun Milli Eğitim Müdürlüğü)0000-0002-0304-7192
Kerim Bekar(Giresun University)0000-0002-7531-9345
Sayfa
—
Yayın Tarihi
2019-10-15
DOI
—
🏛️Bu makalenin bibliyografik verileri ve tam metin bağlantısı DergiPark üzerinden sağlanmıştır.
DergiPark Kaydı ↗
✨

Yapay Zeka Hızlı Bakış & Çıkarımlar

AI Insight
⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this paper, after introducing a new integral identity, by using this integral identity we obtain some new general inequalities of the Hermite-Hadamard and Bullen type for functions whose third derivatives in absolute value at certain power are arithmetically-harmonically convex.
📊
Temel Bulgular & Veri:In this paper, after introducing a new integral identity, by using this integral identity we obtain some new general inequalities of the Hermite-Hadamard and Bullen type for functions whose third derivatives in absolute value at certain power are arithmetically-harmonically convex.
💡
Sonuç & Katkı:Some applications to special means of real numbers are also given.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Convex function · AH-convex function · Hermite-Hadamard and Bullen type inequality

Abstract

In this paper, after introducing a new integral identity, by using this integral identity we obtain some new general inequalities of the Hermite-Hadamard and Bullen type for functions whose third derivatives in absolute value at certain power are arithmetically-harmonically convex. Some applications to special means of real numbers are also given.

🔖

Bu Makaleye Atıf Yap

Kadakal, H., Bekar, K. (2019). Inequalities of Hermite-Hadamard and Bullen Type for Three Times Differentiable $AH$-Convex Functions. Konuralp Journal of Mathematics, Volume: 7 Issue: 2. https://ajindex.com/articles/1521720

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (11)

  1. K. Bekar, Inequalities for three-times differentiable arithmetic-harmonically functions, Turkish Journal of Analysis and Number Theory, (Accepted for publication), (2019).
  2. S.S. Dragomir, Inequalities of Hermite-Hadamard type for AH-convex functions, Stud. Univ. Babes¸-Bolyai Math. 61(4) (2016), 489-502.
  3. S.S. Dragomir and C.E.M. Pearce, Selected Topics on Hermite-Hadamard Inequalities and Applications, RGMIA Monographs, Victoria University, (2000).
  4. İ. İşcan, T. Toplu and F. Yetgin, Some new inequalities on generalization of Hermite-Hadamard and Bullen type inequalities, Kragujevac Journal of Mathematics, (Accepted for publication), (2019).
  5. H. Kadakal, New Inequalities for Strongly r-Convex Functions, Journal of Function Spaces, Volume 2019, Article ID 1219237, 10 pages, (2019).
  6. H. Kadakal, Hermite-Hadamard type inequalities for two times differentiable arithmetic-harmonically convex functions, Cumhuriyet Sci. J., Vol.40-3 (2019) 670-678.
  7. M. Kadakal and İ. İşcan, Some new inequalities for differentiable arithmetic-harmonically convex functions, Comptes Rendus De L’Academie Bulgare Des Sciences, (Submitted to journal), (2019).
  8. S. Maden, H. Kadakal, M. Kadakal and İ. İşcan, Some new integral inequalities for n-times differentiable convex and concave functions. J. Nonlinear Sci. Appl., 10 (2017), 6141-6148.
  9. M.Z. Sarikaya and N. Aktan, On the generalization of some integral inequalities and their applications, Mathematical and Computer Modelling, 54, (2011), 2175-2182.
  10. F. Yetgin, M. Korkmaz and İ. İşcan, Some new type general integral inequalities for s-convex functions and related results, January (2017), doi: 10.13140/RG.2.2.22315.64805.
  11. T.Y. Zhang and F. Qi, Integral Inequalities of Hermite–Hadamard Type for m-AH Convex Functions, Turkish Journal of Analysis and Number Theory, 2(3) (2014), 60-64.