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Fractional Milne-type inequalities for twice differentiable functions
AIMS Mathematics 2024, 9(7): 19771-19785
Published: 15 July 2024
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In this study, a specific identity was derived for functions that possess two continuous derivatives. Through the utilization of this identity and Riemann-Liouville fractional integrals, several fractional Milne-type inequalities were established for functions whose second derivatives inside the absolute value are convex. Additionally, an example and a graphical representation are included to clarify the core findings of our research.

Open Access Research Article Issue
On the axodes of one-parameter spatial movements
AIMS Mathematics 2024, 9(4): 9867-9883
Published: 15 April 2024
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In this treatise, several relationships are improved for the axodes of one-parameter spatial movements. Results are devised in some theorems which characterize many kinematical and geometrical properties of the movements employing the geometrical data of the stationary and movable axodes. An example illustrates the application of the formulae derived. Our findings contribute to a greater understanding of the similarities between spatial movements and axodes, with possible applications in fields such as mechanical engineering.

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