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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2011 / Cilt: 40 - Sayı: 2

SOME NEW HADAMARD TYPE INEQUALITIES FOR CO-ORDINATED m-CONVEX AND (α, m)-CONVEX FUNCTIONS

M.e. ÖZDEMİR
E. SET
Erhan SET
m.z. SARIKAYA
Sayfa
219–229
Yayın Tarihi
2011-02-01
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

In this paper, we establish some new Hermite-Hadamard type inequalities for m-convex and (α, m)-convex functions of 2-variables on the co-ordinates

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this paper, we establish some new Hermite-Hadamard type inequalities for m-convex and (α, m)-convex functions of 2-variables on the co-ordinates
📊
Temel Bulgular & Veri:In this paper, we establish some new Hermite-Hadamard type inequalities for m-convex and (α, m)-convex functions of 2-variables on the co-ordinates
💡
Sonuç & Katkı:In this paper, we establish some new Hermite-Hadamard type inequalities for m-convex and (α, m)-convex functions of 2-variables on the co-ordinates
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:m-convex function · co-ordinated convex mapping · Hermite-Hadamard inequality

Abstract

In this paper, we establish some new Hermite-Hadamard type inequalities for m-convex and (α, m)-convex functions of 2-variables on the co-ordinates

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Bu Makaleye Atıf Yap

ÖZDEMİR, M., SET, E., SET, E., SARIKAYA, M. (2011). SOME NEW HADAMARD TYPE INEQUALITIES FOR CO-ORDINATED m-CONVEX AND (α, m)-CONVEX FUNCTIONS. Hacettepe Journal of Mathematics and Statistics, Cilt: 40 - Sayı: 2, 219–229. https://ajindex.com/articles/669710

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Kaynakça (7)

  1. Alomari, M. and Darus, M. Co-ordinated s-convex function in the first sense with some Hadamard-type inequalities, Int. J. Contemp. Math. Sciences 3 (32), 1557–1567, 2008.
  2. Bakula, M. K. ¨Ozdemir, M. E. and Peˇcari´c, J. Hadamard type inequalities for m-convex and (α, m)-convex functions, J. Inequal. Pure and Appl. Math. 9 (4), Art. 96, 2008.
  3. Bakula, M. K., Peˇcari´c, J. and Ribiˇci´c, M. Companion inequalities to Jensen’s inequality for m-convex and(α, m)-convex functions, J. Inequal. Pure and Appl. Math. 7 (5), Art. 194, 2006.
  4. Dragomir, S. S. On Hadamard’s inequality for convex functions on the co-ordinates in a rectangle from the plane, Taiwanese Journal of Mathematics 4, 775–788, 2001.
  5. Dragomir, S. S. and Pearce, C. E. M. Selected Topics on Hermite-Hadamard Inequal- itiesand Applications http://www.staff.vu.edu.au/RGMIA/monographs/hermite-hadamard.html]. Victoria University, 2000). [Online: Dragomir, S. S. and Toader, G. Some inequalities for m-convex functions, Studia Univ. Babes- Bolyai, Mathematica 38 (1), 21–28, 1993. Mihe¸san, V. G. A generalization of the convexity (Seminar on Functional Equations, Approx. and Convex., Cluj-Napoca, Romania, 1993).
  6. Toader, G. Some generalizations of the convexity, Proc. Colloq. Approx. Opt. Cluj-Napoca, 329–338, 1984.
  7. Set, E., Sardari, M., Ozdemir, M. E. and Rooin, J. On generalizations of the Hadamard inequality for(α, m)-convex functions, RGMIA Res. Rep. Coll. 12 (4), Article 4, 2009.