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Öğe New version of midpoint-type inequalities for co-ordinated convex functions via generalized conformable integrals(Springer, 2024) Kiris, Mehmet Eyup; Vivas-Cortez, Miguel; Uzun, Tugba Yalcin; Bayrak, Gozde; Budak, HuseyinIn the current research, some midpoint-type inequalities are generalized for co-ordinated convex functions with the help of generalized conformable fractional integrals. Moreover, some findings of this paper include results based on Riemann-Liouville fractional integrals and Riemann integrals.Öğe On Hermite-Hadamard type inequalities for co-ordinated convex function via conformable fractional integrals(Amer Inst Mathematical Sciences-Aims, 2024) Kiris, Mehmet Eyup; Vivas-Cortez, Miguel; Bayrak, Gozde; Cmar, Tugba; Budak, HuseyinIn this study, some new Hermite-Hadamard type inequalities for co-ordinated convex functions were obtained with the help of conformable fractional integrals. We have presented some remarks to give the relation between our results and earlier obtained results. Moreover, an identity for partial differentiable functions has been established. By using this equality and concept of co-ordinated convexity, we have proven a trapezoid type inequality for conformable fractional integrals.