Published January 1, 2012 | Version v1
Publication Open

On the refinements of Jensen Mercer's inequality

Creators

  • 1. University of Karachi
  • 2. University of Peshawar
  • 3. Government College University, Lahore
  • 4. University of Zagreb

Description

In this paper we give refinements of Jensen-Mercer's inequality and its generalizations and give applications for means. We prove \(n\)-exponential convexity of the functions constructed from these refinements. At the end we discuss some examples.

⚠️ This is an automatic machine translation with an accuracy of 90-95%

Translated Description (Arabic)

في هذه الورقة، نقدم تحسينات على عدم مساواة جنسن ميرسر وتعميماتها ونقدم طلبات للحصول على الوسائل. نثبت \( n\) -التحدب الأسي للوظائف التي تم إنشاؤها من هذه التحسينات. في النهاية نناقش بعض الأمثلة.

Translated Description (French)

Dans cet article, nous donnons des raffinements de l'inégalité de Jensen-Mercer et de ses généralisations et donnons des applications pour les moyens. Nous prouvons \(n\) - convexité exponentielle des fonctions construites à partir de ces raffinements. À la fin, nous discutons de quelques exemples.

Translated Description (Spanish)

En este trabajo damos refinamientos de la desigualdad de Jensen-Mercer y sus generalizaciones y damos aplicaciones de medios. Demostramos \(n\) -convexidadexponencial de las funciones construidas a partir de estos refinamientos. Al final discutimos algunos ejemplos.

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Additional details

Additional titles

Translated title (Arabic)
حول تحسينات عدم المساواة في جنسن ميرسر
Translated title (French)
Sur les raffinements de l'inégalité de Jensen Mercer
Translated title (Spanish)
Sobre los refinamientos de la desigualdad de Jensen Mercer

Identifiers

Other
https://openalex.org/W4372064067
DOI
10.33993/jnaat411-969

Is supplement to
https://openalex.org/W58810707 (Other)
https://openalex.org/W4319791510 (Other)
https://openalex.org/W4297912746 (Other)
https://openalex.org/W3194917076 (Other)
https://openalex.org/W2367379155 (Other)
https://openalex.org/W2361818033 (Other)
https://openalex.org/W2165910847 (Other)
https://openalex.org/W2101846922 (Other)
https://openalex.org/W1989486236 (Other)
https://openalex.org/W1882871713 (Other)

GreSIS Basics Section

Is Global South Knowledge
Yes
Country
Pakistan

References

  • https://openalex.org/W1987113198
  • https://openalex.org/W2070402313
  • https://openalex.org/W2784825449
  • https://openalex.org/W4236700867
  • https://openalex.org/W4292058084