Published January 1, 2017 | Version v1
Publication Open

On Harmonically<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mo stretchy="false">(</mml:mo><mml:mi>p</mml:mi><mml:mo>,</mml:mo><mml:mi>h</mml:mi><mml:mo>,</mml:mo><mml:mi>m</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math>-Preinvex Functions

Creators

  • 1. Longyan University
  • 2. Government College University, Lahore
  • 3. Giresun University

Description

We define a new generalized class of harmonically preinvex functions named harmonically(p,h,m)-preinvex functions, which includes harmonic(p,h)-preinvex functions, harmonicp-preinvex functions, harmonich-preinvex functions, andm-convex functions as special cases. We also investigate the properties and characterizations of harmonically(p,h,m)-preinvex functions. Finally, we establish some integral inequalities to show the applications of harmonically(p,h,m)-preinvex functions.

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

Translated Description (Arabic)

نحدد فئة معممة جديدة من وظائف preinvex التوافقية المسماة بشكل متناسق(p،h،m) - preinvex، والتي تشمل وظائف preinvex التوافقية(p،h)، وظائف p - preinvex التوافقية، وظائف h - preinvex التوافقية، وظائف m - convex كحالات خاصة. نقوم أيضًا بالتحقيق في خصائص وتوصيفات الدوال المنسجمة (p،h،m)- preinvex. أخيرًا، نؤسس بعض المتباينات المتكاملة لإظهار تطبيقات الدوال المتناغمة (p،h،m)- preinvex.

Translated Description (French)

Nous définissons une nouvelle classe généralisée de fonctions préinvexes harmoniques nommées fonctions préinvexes harmoniques(p,h,m), qui comprend des fonctions préinvexes harmoniques(p,h), des fonctions préinvexes p harmoniques, des fonctions préinvexes hharmoniques et des fonctions m -convexes en tant que cas spéciaux. Nous étudions également les propriétés et les caractérisations des fonctions préinvexes harmoniques (p,h,m). Enfin, nous établissons quelques inégalités intégrales pour montrer les applications des fonctions préinvexes harmoniques (p,h,m).

Translated Description (Spanish)

Definimos una nueva clase generalizada de funciones armónicamente preinvexas denominadas funciones armónicamente(p,h,m) -preinvexas, que incluye funciones armónicas(p,h) -preinvexas, funciones armónicasp -preinvexas, funciones armónicash -preinvexas y funciones m -convexas como casos especiales. También investigamos las propiedades y caracterizaciones de las funciones preinvexas armónicamente (p,h,m). Finalmente, establecemos algunas desigualdades integrales para mostrar las aplicaciones de las funciones armónicamente(p,h,m) -preinvex.

Files

2148529.pdf.pdf

Files (16.1 kB)

⚠️ Please wait a few minutes before your translated files are ready ⚠️ Note: Some files might be protected thus translations might not work.
Name Size Download all
md5:f60219d795ea568c93883b7c4cc2b307
16.1 kB
Preview Download

Additional details

Additional titles

Translated title (Arabic)
على وظائف متناغمة<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mo stretchy="false"> (</mml:mo><mml:mi>p</mml:mi><mml:mo>،</mml:mo><mml:mi>h</mml:mi><mml:mo>،</mml:mo><mml:mi>m</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math>- Preinvex
Translated title (French)
Sur Harmoniquement<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mo stretchy="false">(</mml:mo><mml:mi>p</mml:mi><mml:mo>,</mml:mo><mml:mi>h</mml:mi><mml:mo>,</mml:mo><mml:mi>m</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math>-Fonctions Preinvexes
Translated title (Spanish)
Encendido armónicamente<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mo stretchy="false">(</mml:mo><mml:mi>p</mml:mi><mml:mo>,</mml:mo><mml:mi>h</mml:mi><mml:mo>,</mml:mo><mml:mi>m</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math>-Funciones preinvexas

Identifiers

Other
https://openalex.org/W2585816481
DOI
10.1155/2017/2148529

Is supplement to
https://openalex.org/W4313731559 (Other)
https://openalex.org/W2989452537 (Other)
https://openalex.org/W2544423928 (Other)
https://openalex.org/W2187401768 (Other)
https://openalex.org/W2181743346 (Other)
https://openalex.org/W2181413294 (Other)
https://openalex.org/W2073681303 (Other)
https://openalex.org/W2053286651 (Other)
https://openalex.org/W2052122378 (Other)
https://openalex.org/W2051487156 (Other)

GreSIS Basics Section

Is Global South Knowledge
Yes
Country
Pakistan

References

  • https://openalex.org/W1507674144
  • https://openalex.org/W1969573529
  • https://openalex.org/W1973893110
  • https://openalex.org/W1990037710
  • https://openalex.org/W1994050833
  • https://openalex.org/W2000983337
  • https://openalex.org/W2012192004
  • https://openalex.org/W2028419520
  • https://openalex.org/W2049888876
  • https://openalex.org/W2060880175
  • https://openalex.org/W2072882480
  • https://openalex.org/W2082826182
  • https://openalex.org/W2094786643
  • https://openalex.org/W4292070096