... note on p-adic invariant integral in the rings of p-adic integers,” Advanced Studies in Con-temporary Mathematics, vol. 13, no. 1, pp. 95–99, 2006.6 T. Kim, M. S. Kim, L C. Jang, and S. H. Rim, ... and L C. Jang, “Some relationships between the analogs of Euler numbers and polynomials,” Journal of Inequalities and Applications, vol. 2007, Article ID 86052, 22 pages, 2007.6 Journal of Inequalities ... Journal of Inequalities and Applicationsxqx : q1 − qx1 − q1.1cf. 1–5, 22.Hence, limq→1xx for any x with |x|p≤ 1 in the present p-adic case. Let d be a fixedinteger and let...