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Journals / Contemporary Analysis and Applied Mathematics / 2015 / Cilt: 3 - Sayı: 2

Farklı türden yeni baskın konveks fonksiyonlar için Hermite-Hadamard tipli eşitsizlikler

Hermite-Hadamard-type inequalities for new different kinds of convex dominated functions

Mevlüt TUNÇ
Havva ÖNALAN KAVURMACI
M. Emin ÖZDEMİR
Pages
227–237
Publication Date
2022-10-11
DOI
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AI Summary & Key Takeaways

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

Also, some new Hadamard type inequalities are obtained.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, several new convex dominated functions are established.
📊
Key Findings & Data:In this paper, several new convex dominated functions are established.
💡
Conclusion & Impact:Also, some new Hadamard type inequalities are obtained.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this paper, several new convex dominated functions are established. Also, some new Hadamard type inequalities are obtained.

Özet

Bu makalede, birkaç yeni baskın fonksiyon sunulmuştur. Ayrıca, bazı yeni Hadamard tipli eşitsizlikler elde edilmiştir.

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Cite This Article

TUNÇ, M., KAVURMACI, H. Ö., ÖZDEMİR, M. E. (2022). Farklı türden yeni baskın konveks fonksiyonlar için Hermite-Hadamard tipli eşitsizlikler. Contemporary Analysis and Applied Mathematics, Cilt: 3 - Sayı: 2, 227–237. https://ajindex.com/articles/476447

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References (14)

  1. M. K. Bakula, M. E. Özdemir, J. Peˇcari´c, Hadamard type inequalities for m-convex and (α, m)-convex functions, J. Inequal. Pure Appl. Math. 9 (2008) 1-25 (Article ID 96)
  2. M. K. Bakula, J. Peˇcari´c, M. Ribiˇci´c, Companion inequalities to Jensen’s inequality for m-convex and (α, m)-convex functions, J. Inequal. Pure Appl. Math. 7 (2006) 1-32 (Article ID 194)
  3. S. S. Dragomir, On some new inequalities of Hermite-Hadamard type for m-convex functions, Tamkang Journal of Mathematics 33 (1) (2002) 55-65
  4. S. S. Dragomir, N. M. Ionescu, On some inequalities for convex-dominated functions, Anal. Num. Theor. Approx. 19 (1990) 21-28
  5. S. S. Dragomir, C. E. M Pearce, J. E. Peˇcari´c, Means, g-convex dominated & Hadamard-type inequalities, Tamsui Oxford Journal of Mathematical Sciences 18 (2) (2002) 161-173
  6. P. M. Gill, C. E. M. Pearce, J. Peˇcari´c, Hadamard’s inequality for r-convex functions, J. Math. Anal. Appl. 215 (1997) 461-470
  7. G. Toader, Some generalizations of the convexity, Proc. Colloq. Approx. Optim., Univ. Cluj-Napoca, Cluj-Napoca, 1984, 329-338
  8. H. Kavurmacı, M. E. Özdemir, M. Z. Sarıkaya, New inequalities and theorems via different kinds of convex dominated functions, RGMIA Research Report Collection 15 (2012) (Article ID 9)
  9. V. G. Mihe¸san, A generalization of the convexity, Seminar of Functional Equations, Approx. and Convex, Cluj-Napoca, 1993
  10. M. E. Özdemir, H. Kavurmacı, E. Set, Ostrowski’s type inequalities for ( α, m)-convex functions, Kyungpook Math. J. 50 (2010) 371-378
  11. M. E. Özdemir, M. Avcı, H. Kavurmacı, Hermite-Hadamard-type inequalities via (α, m)-convexity, Comput. Math.Appl. 61 (2011) 2614-2620
  12. M. E. Özdemir, E. Set, M. W. Alomari, Integral inequalities via several kinds of convexity, Creat. Math. Inform. 20 (1) (2011) 62-73
  13. M. Z. Sarıkaya, E. Set, M. E. Özdemir, Some new Hadamard’s type inequalities for co-ordinated m-convex and (α, m)-convex functions, Hacettepe J. Math. Ist. 40 (2011) 219-229
  14. E. Set, M. Sardari, M. E. Özdemir, J. Rooin, On generalizations of the Hadamard inequality for (α, m)-convex functions, Kyungpook Math. J. 52 (2012) 307-317 (http://dx.doi.org/10.5666/KMJ.2012.52.3.307).