Title of article :
Some Weighted Integral Inequalities for Generalized Conformable Fractional Calculus
Author/Authors :
Budak, Hüseyin Department of Mathematics - Faculty of Science and Arts - Düzce University - Düzce, Turkey , Usta, Fuat Department of Mathematics - Faculty of Science and Arts - Düzce University - Düzce, Turkey , Zeki Sarikaya, Mehmet Department of Mathematics - Faculty of Science and Arts - Düzce University - Düzce, Turkey
Abstract :
In this paper, we have obtained weighted versions of Ostrowski, Čebysev and Grüss type inequalities for conformable fractional integrals which is given by Katugompola. By using the Katugampola definition for conformable calculus, the present study confirms previous findings and contributes additional evidence that provide the bounds for more general functions.
Farsi abstract :
در اين مقاله انواع وزن داري از نامعادلات نوع گراس و آستروسكي-چبيشف براي انتگرال هاي كسري قابل تطبيق ارائه شده توسط كاتوگامپولا به دست آمده اند. بر اساس تعريف كاتوگامپولا براي حساب تطبيق شدني اين مقاله نتايج قبلي را تاييد و شواهد بيشتري براي ارائه كران هايي براي توابع كلي بيشتري فراهم مي كند.
Keywords :
Ostrowski inequality , Čebysev inequality , Grüss inequality , Conformable fractional integrals
Journal title :
Iranian Journal of Mathematical Sciences and Informatics (IJMSI)
