New midpoint type inequalities for generalized fractional integral

Huseyin Budak; Hasan Kara; Rabia Kapucu

New midpoint type inequalities for generalized fractional integral

Publish place: Computational Methods for Differential Equations، Vol: 10، Issue: 1

Publish Year: 1401

نوع سند: مقاله ژورنالی

زبان: English

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https://civilica.com/doc/1595720

شناسه ملی سند علمی:

JR_CMDE-10-1_007

تاریخ نمایه سازی: 9 بهمن 1401

Abstract:

In this paper, we first establish two new identities for differentiable function involving generalized fractional integrals. Then, by utilizing these equalities, we obtain some midpoint type inequalities involving generalized fractional integrals for mappings whose derivatives in absolute values are convex. We also give several results as special cases of our main results.

Keywords:

Hermite-Hadamard inequality , generalized fractional integral , Convex function

Authors

Huseyin Budak

Department of Mathematics,Faculty of Science and Arts, D¨uzce University, D¨uzce,Turkey.

Hasan Kara

Department of Mathematics,Faculty of Science and Arts, D¨uzce University, D¨uzce,Turkey.

Rabia Kapucu

Department of Mathematics,Faculty of Science and Arts, D¨uzce University, D¨uzce,Turkey.

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