On some SimpsonÕs and NewtonÕs type of inequalities in multiplicative calculus with applications

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2023
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American Institute of Mathematical Sciences
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On some SimpsonÕs and NewtonÕs type of inequalities in multiplicative calculus with applications
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Abstract
In this paper, we establish an integral equality involving a multiplicative differentiable function for the multiplicative integral. Then, we use the newly established equality to prove some new SimpsonÕs and NewtonÕs inequalities for multiplicative differentiable functions. Finally, we give some mathematical examples to show the validation of newly established inequalities. © 2023 the Author(s), licensee AIMS Press.
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AIMS Mathematics
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