Jacobi transform of $(\nu, \gamma, p)$-Jacobi-Lipschitz functions in the space $\mathrm{L}^{p}(\mathbb{R}^{+},\Delta_{(\alpha,\beta)}(t) dt)$

Using a generalized translation operator, we obtain an analog of Younis' theorem [Theorem 5.2, Younis M. S. Fourier transforms of Dini–Lipschitz functions, Int. J. Math. Math. Sci., 1986] for the Jacobi transform for functions from the $(\nu, \gamma, p)$-Jacobi–Lipschitz class in the space $\mathrm{L}^{p}(\mathbb{R}^{+},\Delta_{(\alpha,\beta)}(t)dt)$.