Affiliation:
1. Department of Mathematics, Faculty of Science and Arts, Duzce University, Türkiye
Abstract
In this research paper, we investigate generalized fractional integrals to
obtain midpoint type inequalities for the co-ordinated convex functions.
First of all, we establish an identity for twice partially differentiable
mappings. By utilizing this equality, some midpoint type inequalities via
generalized fractional integrals are proved. We also show that the main
results reduce some midpoint inequalities given in earlier works for Riemann
integrals and Riemann-Liouville fractional integrals. Finally, some new
inequalities for k-Riemann-Liouville fractional integrals are presented as
special cases of our results.
Publisher
National Library of Serbia
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