Published January 12, 2022 | Version v1
Publication Open

Generalizations of the Jensen functional involving diamond integrals via Abel–Gontscharoff interpolation

Creators

  • 1. Abbottabad University of Science and Technology
  • 2. University of Sargodha
  • 3. Russian New University

Description

Abstract In this paper we obtain several refinements of the Jensen inequality on time scales by generalizing Jensen's functional for n -convex functions. We also investigate the bounds for the identities related to the new improvements obtained.

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

Translated Description (Arabic)

الملخص في هذه الورقة، نحصل على العديد من التحسينات في متباينة جنسن على المقاييس الزمنية من خلال تعميم وظيفة جنسن للوظائف n - محدبة. كما نقوم بالتحقيق في حدود الهويات المتعلقة بالتحسينات الجديدة التي تم الحصول عليها.

Translated Description (French)

Résumé Dans cet article, nous obtenons plusieurs raffinements de l'inégalité de Jensen sur des échelles de temps en généralisant la fonction de Jensen pour les fonctions n-convexes. Nous étudions également les limites des identités liées aux nouvelles améliorations obtenues.

Translated Description (Spanish)

Resumen En este artículo obtenemos varios refinamientos de la desigualdad de Jensen en escalas de tiempo generalizando la función de Jensen para funciones n -convexas. También investigamos los límites de las identidades relacionadas con las nuevas mejoras obtenidas.

Files

s13660-021-02748-y.pdf

Files (1.7 MB)

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Additional details

Additional titles

Translated title (Arabic)
تعميمات وظيفة جنسن التي تنطوي على تكاملات الماس عبر استيفاء آبل- غونتشاروف
Translated title (French)
Généralisations de la fonction de Jensen impliquant des intégrales de diamant via l'interpolation d'Abel-Gontscharoff
Translated title (Spanish)
Generalizaciones del funcional de Jensen que involucran integrales de diamante a través de la interpolación de Abel-Gontscharoff

Identifiers

Other
https://openalex.org/W4205747304
DOI
10.1186/s13660-021-02748-y

Is supplement to
https://openalex.org/W4382246683 (Other)
https://openalex.org/W4206144597 (Other)
https://openalex.org/W4200119807 (Other)
https://openalex.org/W3014040003 (Other)
https://openalex.org/W2370594013 (Other)
https://openalex.org/W2352918824 (Other)
https://openalex.org/W2350695164 (Other)
https://openalex.org/W2164154645 (Other)
https://openalex.org/W1691104707 (Other)
https://openalex.org/W1606634388 (Other)

GreSIS Basics Section

Is Global South Knowledge
Yes
Country
Pakistan

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