On Some Bullen-type Inequalities with the kth Power for Twice Differentiable Mappings and Applications
DOI:
https://doi.org/10.63286/jima.2025.04Keywords:
Generalized Hölder’s inequality, generalized power-mean inequality, s-convex functions, s-concave functions, special meansAbstract
We present the generalization of power-mean inequality. Further, we establish some Bullen-type inequalities with the kth power for twice differentiable mappings via s-convex functions in the first and second sense and s-concave functions. Some applications to special means of real numbers and to polygamma functions are also given.
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