Generalizations of Levinson-type inequalities via new Green functions and Hermite interpolating polynomial
Awais Rasheed,
Khuram Ali Khan,
Josip Pečarić
et al.
Abstract:In this study, Levinson-type inequalities for the class of n-convex ($n \geq 3$
n
≥
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.
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