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
Pages
18
From page
195
To page
212
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)
Serial Year
2021
Record number
2684288
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