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Dergiler / Celal Bayar Üniversitesi Fen Bilimleri Dergisi / 2017 / Cilt: 13 - Sayı: 2

Inequalities for log-convex functions via three times differentiability

Merve AVCI ARDIÇ
Emin ÖZDEMİR
Sayfa
353–358
Yayın Tarihi
2017-06-30
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Some applications to quadrature formula for midpoint error estimate are given.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this paper, some new integral inequalities like Hermite-Hadamard type for functions whose third derivatives absolute value are convex are established.
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Temel Bulgular & Veri:In this paper, some new integral inequalities like Hermite-Hadamard type for functions whose third derivatives absolute value are convex are established.
💡
Sonuç & Katkı:Some applications to quadrature formula for midpoint error estimate are given.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Convexity · log-convex functions · Hermite-Hadamard inequality

Abstract

In this paper, some new integral inequalities like Hermite-Hadamard type for functions whose third derivatives absolute value are convex are established. Some applications to quadrature formula for midpoint error estimate are given.

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Bu Makaleye Atıf Yap

ARDIÇ, M. A., ÖZDEMİR, E. (2017). Inequalities for log-convex functions via three times differentiability. Celal Bayar Üniversitesi Fen Bilimleri Dergisi, Cilt: 13 - Sayı: 2, 353–358. https://ajindex.com/articles/35039

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Kaynakça (8)

  1. Alomari, M; Darus M. On the Hadamard’s inequality for convex functions on the coordinates, Journal of Inequalities and Applications, Volume 2009, Article ID 283147, 13 pages.
  2. Dragomir, SS. Some Jensen’s Type Inequalities for Convex Functions of Selfadjoint Operators in Hilbert Spaces, Bulletin of the Malaysian Mathematical Sciences Society, 2011, 34 /3: 445-454.
  3. Niculescu, CP. The Hermite–Hadamard inequality for convex functions, Nonlinear Analysis, 2012, 75: 662–669
  4. Pachpatte, B. G. A note on integral inequalities involving two log-convex functions, Mathematical Inequalities & Applications, 2004, 7/4: 511–515
  5. Pečarić, J; Rehman, A. U. On logarithmic convexity for power sums and related results, Journal of Inequalities and Applications, vol. 2008, Article ID 389410, 9 pages, 2008.
  6. Yang, G. S.; Tseng, KL, Wang H. T. A note on integral inequalities of Hadamard type for convex and concave functions, Taiwanese Journal of Mathematics, 2012, 16 /2: 479-496.
  7. Zhanga, X; Jiang, W. Some properties of convex function and applications for the exponential function, Computers and Mathematics with Applications, 2012, 63: 1111–1116.
  8. Shuang, Y; Wang, Y; Qi, F. Some inequalities of Hermite-Hadamard type for functions whose third derivatives are convex, Journal of Computational Analysis and Applications, 2014, 17/2: 272-279.