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Generalizations of Hardy Type Inequalities by Taylor’s Formula

  • Kristina Krulić Himmelreich EMAIL logo
Published/Copyright: February 16, 2022
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Abstract

In this paper, we use Taylor’s formula to prove new Hardy-type inequalities involving convex functions. We give new results that involve the Hardy–Hilbert inequality, Pólya–Knopp inequality and bounds for the identity related to the Hardy-type functional. At the end, mean value theorems of Cauchy type are given.

MSC 2010: Primary 26D25; 26D30

(Communicated by Marek Balcerzak)


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Received: 2020-12-03
Accepted: 2021-02-16
Published Online: 2022-02-16
Published in Print: 2022-02-16

© 2022 Mathematical Institute Slovak Academy of Sciences

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