Generalizations of Levinson-type inequalities via new Green functions and Hermite interpolating polynomial

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2024年5月17日

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Awais Rasheed,
Khuram Ali Khan,
Josip Pečarić,
Ðilda Pečarić

摘要

In this study, Levinson-type inequalities for the class of n-convex ( $n \geq 3$ $n \geq 3$ ) functions are generalized using new Green functions and the Hermite interpolating polynomial involving two types of data points. Some estimations for novel functionals are derived using f-divergence. Furthermore, different inequalities involving Shannon entropies are presented.