SavedAdd your journal

Journals / Karaelmas Fen ve Mühendislik Dergisi / 2017 / Cilt: 7 - Sayı: 1

Inequalities Via n-Times Differentiable quasi-Convex Functions

n-Mertebeden Türevlenebilir Quasi-Konveks Fonksiyonlar Yardımıyla Eşitsizlikler

MERVE AVCI ARDIÇ
Pages
199–201
DOI
—
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
✨

AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

In this paper, we establish some integral inequalities for times differentiable convex functions.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we establish some integral inequalities for times differentiable convex functions.
📊
Key Findings & Data:In this paper, we establish some integral inequalities for times differentiable convex functions.
💡
Conclusion & Impact:In this paper, we establish some integral inequalities for times differentiable convex functions.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Hermite-Hadamard eşitsizliği · Hölder eşitsizliği · Quasi-konveks fonksiyonlar

Abstract

In this paper, we establish some integral inequalities for times differentiable convex functions.

Özet

Bu çalışmada, n-mertebeden türevlenebilir quasi-konveks fonksiyonlar için yeni bazı integral eşitsizlikler elde edilmiştir

🔖

Cite This Article

ARDIÇ, M. A. (2017). Inequalities Via n-Times Differentiable quasi-Convex Functions. Karaelmas Fen ve Mühendislik Dergisi, Cilt: 7 - Sayı: 1, 199–201. https://ajindex.com/articles/201870

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (9)

  1. Alomari, M., Darus, M., Kırmacı U.S. 2010. Refinements of Hadamard-type inequalities for quasi-convex functions with applications to trapezoidal formula and to special means, Comput. Math. Applic., 59: 225-232.
  2. Barnett, N. S., Dragomir, S. S. 2002. Applications of Ostrowski’s version of the Grüss inequality for trapezoid type rules, RGMIA Res. Rep. Coll., 5. Bai, S.-P., Wang, S.-H., Qi, F. 2012. Some Hermite-Hadamard type inequalities for n-time differentiable (a,m)-convex functions, J. Inequal. Appl., 2012:267. Cerone, P., Dragomir, S. S., Roumelotis, J. 1999. Some Ostrowski type inequalities for n-time differentiable mappings and applications, Demonstr. Math., 32: 697-712.
  3. Dragomir, S. S., Pearce C. E. M. 2012. Jensen’s inequality for quasi-convex functions, NACO, 2: 279-291.
  4. Hwang, D.-Y. 2003. Some inequalities for n-time differentiable mappings and applications, Kyungpook Math. J., 43: 335-343.
  5. Hussain, S., Qaisar, S. 2013. New Integral Inequalities of the Type of Hermite-Hadamard Through Quasi Convexity, Punjab University J. of Math., 45. Ion, D. A. 2007. Some estimates on the Hermite-Hadamard inequality through quasi-convex functions, An. Univ. Craiova, Ser. Mat. Inf., 34: 83-88.
  6. Jiang, W.-D., Niu, D.-W., Hua, Y., Qi, F. 2012. Generalizations of Hermite-Hadamard inequality to n-time differentiable functions which are quasi-convex in the second sense, Analysis (Munich), 32: 209–220.
  7. Kechriniotis, A. I., Theodorou, Y. A. 2008. New integral inequalities for n-time differentiable functions with applications for pdfs, Appl. Math. Sciences, 2: 353 – 362. Kavurmacı, H., Avcı, M., Özdemir, M. E. 2011. New inequalities of Hermite-Hadamard type for convex functions with applications, J. Inequal. Appl., 2011:86. Özdemir, M. E., Kavurmacı, H., Akdemir, A. O., Avcı, M. 2012. Inequalities for convex and s-convex functions on Δ=[a,b] x[c,d], J. Inequal. Appl., 2012:20. Özdemir, M. E., Yıldız, Ç., Akdemir, A. O. 2012. On some new Hadamard-type inequalities for co-ordinated quasi-convex functions, Hacettepe J. Math. Statistics, 41: 697 – 707. Pachpatte, B. G., 2004. New inequalities of Ostrowski and Trapezoid type for n-time differentiable functions, Bull. Korean Math. Soc. 41: 633-639.
  8. Sofo, A. 2002. Integral inequalities for n-times differentiable mappings, with multiple branches, on the L_{p} norm, Soochow J. Math., 28: 179-221
  9. Wang, S.-H., Xi, B.-Y., Qi, F. 2012. Some new inequalities of Hermite-Hadamard type for n-time differentiable functions which are m-convex