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Motivated by the work of P. Lindqvist, we study eigenfunctions of the one-dimensional p-Laplace operator, the sin p functions, and prove several inequalities for these and p-analogues of other trigonometric functions and their inverse functions.Similar inequalities are given also for the p-analogues of the hyperbolic functions and their inverses.
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Bhayo, B. A., & Сабирова, Т. М. (2013). INEQUALITIES FOR EIGENFUNCTIONS OF THE P-LAPLACIAN. Problemy analiza, 20(1), 13–35. https://doi.org/10.15393/j3.art.2013.2322
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