A biparameterized analysis of integral inequalities for bounded and holderian mappings
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Abstract
In this study, we introduce a new parameterized identity that generates a series of Newton-Cotes formulas for one, two, three, and four points. We then derive several novel Newton-Cotes-type inequalities for functions with bounded and rr-LL-H\"{o}lderian derivatives. The research is finalized with numerical examples and graphical illustrations that validate the precision of our findings.
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