Browsing by Author "Hüseyin Budak"

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    OPEN NEWTON–COTES INEQUALITIES FOR CONVEX FUNCTIONS IN FRACTIONAL CALCULUS
    (Rocky Mountain Mathematics Consortium, 2025) Thanin Sitthiwirattham; Muhammad Aamir Ali; Hüseyin Budak; Chanon Promsakon
    We establish error bounds for the open Newton–Cotes formula with n = 1 for differentiable convex functions in fractional calculus. We use for this purpose an integral identity, which we prove, having Riemann–Liouville fractional integral and ordinary derivative. We give applications for special means, and add an example to show the validity of inequalities with a graph for different values of fractional parameter α. © Rocky Mountain Mathematics Consortium.