A new refinement of the generalized Hölder's inequality with applications
DOI:
https://doi.org/10.22199/issn.0717-6279-4538Keywords:
arithmetic-geometric mean inequality, generalized Hölder’s inequality, p-adic gamma function, (q, k)-polygamma functions, Nielsen’s β-functionAbstract
In this paper, we prove a further generalized refinement of the weighted arithmetic-geometric mean inequality. As application, we show a new refinement of the generalized classical Hölder’s inequality and we give refinements to several inequalities for some special functions.
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Copyright (c) 2022 Mohamed Amine Ighachane, El Hassan Benabdi, Mohamed Akkouchi
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