Published September 4, 2020 | Version v1
Publication Open

Strongly Reciprocally <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mi>p</mml:mi></mml:math>-Convex Functions and Some Inequalities

Creators

  • 1. Chang'an University
  • 2. University of Okara

Description

In this paper, we generalize the concept of strong and reciprocal convexity. Some basic properties and results will be presented for the new class of strongly reciprocally p-convex functions. Furthermore, we will discuss the Hermite–Hadamard-type, Jensen-type, and Fejér-type inequalities for the strongly reciprocally p-convex functions.

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

Translated Description (Arabic)

في هذه الورقة، نقوم بتعميم مفهوم التحدب القوي والمتبادل. سيتم تقديم بعض الخصائص والنتائج الأساسية للفئة الجديدة من دوال p - convex التبادلية بقوة. علاوة على ذلك، سنناقش المتباينات من نوع Hermite - Hadamard و Jensen - type و Fejér - type للوظائف p المحدبة بشكل متبادل.

Translated Description (French)

Dans cet article, nous généralisons le concept de convexité forte et réciproque. Quelques propriétés et résultats de base seront présentés pour la nouvelle classe de fonctions p -convexesfortement réciproques. En outre, nous discuterons des inégalités de type Hermite-Hadamard, de type Jensen et de type Fejér pour les fonctions fortement réciproquement p -convexes.

Translated Description (Spanish)

En este trabajo generalizamos el concepto de convexidad fuerte y recíproca. Se presentarán algunas propiedades y resultados básicos para la nueva clase de funciones p-convexas fuertemente recíprocas. Además, discutiremos las desigualdades de tipo Hermite-Hadamard, tipo Jensen y tipo Fejér para las funciones p-convexas fuertemente recíprocas.

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Additional details

Additional titles

Translated title (Arabic)
وظائف <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mi>p</mml:mi></mml:math> - Convex متبادلة بقوة وبعض المتباينات
Translated title (French)
Fortement réciproquement <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mi>p</mml:mi></mml:math>- Fonctions convexes et quelques inégalités
Translated title (Spanish)
Fuertemente recíprocamente <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mi></mml:mi></mml:math>funciones p-convexas y algunas desigualdades

Identifiers

Other
https://openalex.org/W3088984010
DOI
10.1155/2020/4957141

Is supplement to
https://openalex.org/W4390176194 (Other)
https://openalex.org/W4297903463 (Other)
https://openalex.org/W4294611394 (Other)
https://openalex.org/W4288573727 (Other)
https://openalex.org/W2981448761 (Other)
https://openalex.org/W2912909874 (Other)
https://openalex.org/W2768754015 (Other)
https://openalex.org/W257189624 (Other)
https://openalex.org/W2393350255 (Other)
https://openalex.org/W2356369451 (Other)

GreSIS Basics Section

Is Global South Knowledge
Yes
Country
Pakistan

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