OPEN NEWTON–COTES INEQUALITIES FOR CONVEX FUNCTIONS IN FRACTIONAL CALCULUS
Date
2025
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Article
Publisher
Rocky Mountain Mathematics Consortium
Journal Title
OPEN NEWTON–COTES INEQUALITIES FOR CONVEX FUNCTIONS IN FRACTIONAL CALCULUS
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Abstract
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.
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Rocky Mountain Journal of Mathematics