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Dergiler / Mathematical Sciences and Applications E-Notes / 2019 / Cilt: 7 - Sayı: 1

The Jensen-Mercer Inequality with Infinite Convex Combinations

Zlatko PAVIC
Sayfa
19–27
DOI
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The paper deals with discrete forms of double inequalities related to convex functions of one variable.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:The paper deals with discrete forms of double inequalities related to convex functions of one variable.
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Temel Bulgular & Veri:The paper deals with discrete forms of double inequalities related to convex functions of one variable.
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Sonuç & Katkı:The paper deals with discrete forms of double inequalities related to convex functions of one variable.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:double inequality · infinite convex combination · Jensen-Mercer inequality

Abstract

The paper deals with discrete forms of double inequalities related to convex functions of one variable.

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Bu Makaleye Atıf Yap

PAVIC, Z. (2019). The Jensen-Mercer Inequality with Infinite Convex Combinations. Mathematical Sciences and Applications E-Notes, Cilt: 7 - Sayı: 1, 19–27. https://ajindex.com/articles/283480

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Kaynakça (12)

  1. Hadamard, J., Étude sur les propriétés des fonctions entières et en particulier d’une fonction considerée par Riemann, J. Math. Pures Appl., 58(1893), 171-215
  2. Hermite, Ch., Sur deux limites d’une intégrale définie, Mathesis, 3(1883), 82
  3. Iveli´c, S., Matkovic, A. and Pecaric, J. E., On a Jensen-Mercer operator inequality, Banach J. Math. Anal., 5(2011), 19-28
  4. Jensen, J. L.W. V., Om konvekse Funktioner og Uligheder mellem Middelværdier, Nyt Tidsskr. Math. B, 16(1905), 49-68
  5. Khan, M. A., Khan, G. A., Jameel, M., Khan, K. A. and Kilicman, A., New refinements of Jensen-Mercer’s inequality J. Comput. Theor. Nanosci., 12(2015), 4442-4449
  6. Matkovic, A., Peˇcari´c, J. and Peri´c, I., A variant of Jensen’s inequality of Mercer’s type for operators with applications, Linear Algebra Appl., 418(2006), 551-564
  7. Mercer, A. McD., A variant of Jensen’s inequality, JIPAM, 4(2003), Article 73
  8. Niezgoda, M., A generalization of Mercer’s result on convex functions, Nonlinear Anal., 71(2009), 2771-2779
  9. Pavic, Z., Convex function and its secant, Adv. Inequal. Appl., 2015(2015), Article 5
  10. Pavic, Z., Generalizations of Jensen-Mercer’s inequality, J. Pure Appl. Math. Adv. Appl., 11(2014), 19-36
  11. Pavic Z., Geometric and analytic connections of the Jensen and Hermite-Hadamard inequality, Math. Sci. Appl. E-Notes, 4(2016), 69-76
  12. Pavic, Z., Inequalities with infinite convex combinations, submitted to FILOMAT.