Published February 1, 2013 | Version v1
Publication Open

Weighted Montgomery's identities for higher order differentiable functions of two variables

Creators

  • 1. Government College University, Lahore
  • 2. University of Karachi
  • 3. Pliva (Croatia)
  • 4. University of Zagreb

Description

We give weighted Montgomery's identities for higher order differentiable functions of two variables and by using these identities we obtain generalized Ostrowski-type and Grüss-type inequalities for double weighted integrals of higher order differentiable functions of two independent variables.

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

Translated Description (Arabic)

نعطي هويات مونتغمري المرجحة للدوال التفاضلية ذات الترتيب الأعلى لمتغيرين وباستخدام هذه الهويات نحصل على متباينات معممة من نوع Ostrowski و Grüss للتكاملات المرجحة المزدوجة للدوال التفاضلية ذات الترتيب الأعلى لمتغيرين مستقلين.

Translated Description (French)

Nous donnons les identités pondérées de Montgomery pour les fonctions différentiables d'ordre supérieur de deux variables et en utilisant ces identités, nous obtenons des inégalités généralisées de type Ostrowski- et de type Grüss pour les intégrales à double pondération des fonctions différentiables d'ordre supérieur de deux variables indépendantes.

Translated Description (Spanish)

Damos identidades ponderadas de Montgomery para funciones diferenciables de orden superior de dos variables y mediante el uso de estas identidades obtenemos desigualdades generalizadas de tipo Ostrowski y de tipo Grüss para integrales doblemente ponderadas de funciones diferenciables de orden superior de dos variables independientes.

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Additional details

Additional titles

Translated title (Arabic)
هويات مونتغمري المرجحة للوظائف القابلة للاختلاف ذات الترتيب الأعلى لمتغيرين
Translated title (French)
Pondération des identités de Montgomery pour les fonctions différentiables d'ordre supérieur de deux variables
Translated title (Spanish)
Identidades de Montgomery ponderadas para funciones diferenciables de orden superior de dos variables

Identifiers

Other
https://openalex.org/W2779935793
DOI
10.33993/jnaat421-982

Is supplement to
https://openalex.org/W4327738859 (Other)
https://openalex.org/W4320933213 (Other)
https://openalex.org/W4286826125 (Other)
https://openalex.org/W4285277090 (Other)
https://openalex.org/W4224242423 (Other)
https://openalex.org/W3181683615 (Other)
https://openalex.org/W2348722996 (Other)
https://openalex.org/W2334570605 (Other)
https://openalex.org/W2142149766 (Other)
https://openalex.org/W1633485514 (Other)

GreSIS Basics Section

Is Global South Knowledge
Yes
Country
Pakistan

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