Notions sur la quasi-convexité et inégalités Intégrales classiques et fractionnaires

الموضوعات

علوم بحتة وطبيعية

روابط وملفات

التعريف والنوع

رقم الوثيقة

02db2710-5a0b-45a3-986b-725055defd9c

رقم العقد

0

نوع الوسائط

Crawler

نوع المحتوى

الرسائل العلمية

صيغة المصدر

ماستر (LMD)

نوع الملف

pdf text

أسماء الملفات

2256525_1.pdf

بيانات النشر

ألقاب المؤلفين

[{"name_ar":"Amel Seba","title_ar":"اعداد","title_en":"Preparation"},{"name_ar":"Halim Benali","title_ar":"اشراف","title_en":"Supervision"},{"name_ar":"Nour el Iman Merabet","title_ar":"اعداد","title_en":"Preparation"}]

اللغة

French

المصدر والدورية

اسم المصدر

Notions sur la quasi-convexité et inégalités Intégrales classiques et fractionnaires

المحتوى والصفحات

عدد الصفحات

0

ترجمة الملخص

To sum up, In this work we have studied some notions on quasi-convexity and integral inequalities classic and fractional, we have dealt with Hermite-Hedamard’s classic and fractional.We have achieved the main objective which is the study of some classical integral inequalities and we have established some results on fractional calculus.In the first chapter we have presented some basic notions and important tools of convexity and quasi-convexity, which led us to deal with Classical case of Hermite- Hadamard’s inequalities via convexity and via quas-convexity . Then we have discussed in the second chapter the k-Riemann-Liouville Fractional Integral and some special cases when k = 1, this case is Hermite-Hadamard inequality. The last chapter shed light on Hermite-Hadamard type inequalities for quasi-convex functions via katugampola fractional integrals which generalizes the previous results of k-Riemann-Liouville Fractional Integral and Hermite-Hadamard fractional integral.49

كلمات الباحثين

Convex function, Quasi-convex function, k-fractional inequalities, Hermite-Hadamard type inequalities

إشراف وإعداد

الإشراف

Halim Benali

الإعداد

Amel Seba, Nour el Iman Merabet

الاقتباسات الببليوغرافية