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

The Jensen-Mercer Inequality with Infinite Convex Combinations

Sayfa
19–27
Yayın Tarihi
2022-10-19
DOI
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The double inequalityform of the Jensen-Mercer inequality and its variants are especially studied.

📌 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.Infinite convex combinations and sequences of convex combinations are included.
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Temel Bulgular & Veri:The paper deals with discrete forms of double inequalities related to convex functions of one variable.Infinite convex combinations and sequences of convex combinations are included.
💡
Sonuç & Katkı:The double inequalityform of the Jensen-Mercer inequality and its variants are especially studied.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Abstract

The paper deals with discrete forms of double inequalities related to convex functions of one variable.Infinite convex combinations and sequences of convex combinations are included. The double inequalityform of the Jensen-Mercer inequality and its variants are especially studied.

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Bu Makaleye Atıf Yap

PAVIC, Z. (2022). The Jensen-Mercer Inequality with Infinite Convex Combinations. Mathematical Sciences and Applications E-Notes, Cilt: 7 - Sayı: 1, 19–27. https://ajindex.com/articles/578858

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Kaynakça (12)

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  6. Matkovi´c, 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
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  9. Pavi´c, Z., Convex function and its secant, Adv. Inequal. Appl., 2015(2015), Article 5
  10. Pavi´c, Z., Generalizations of Jensen-Mercer’s inequality, J. Pure Appl. Math. Adv. Appl., 11(2014), 19-36
  11. Pavi´c, Z., Geometric and analytic connections of the Jensen and Hermite-Hadamard inequality, Math. Sci. Appl. E-Notes, 4(2016), 69-76
  12. Pavi´c, Z., Inequalities with infinite convex combinations, submitted to FILOMAT.