No abstract

Recently, some interesting and new identities are introduced in (Hwang et al., Communicated). From these identities, we derive some new and interesting integral formulae for the Bernoulli polynomials.

Wang (Journal of Applied Mathematics and Computing, vol. 35, no. 1-2, pp. 305-321, 2011) studied Jensen-type and Hölder-type inequality for Choquet integral. In this paper, we consider the interval-valued Choquet integral with respect to a fuzzy measure and investigate Jensen-type and Hölder-type inequality for interval-valued Choquet integrals.

Abstract. Recently, T. Kim has introduced and analysed the q-Euler polynomials (see [3,14,35,37]). By the same motivation, we will consider some interesting properties of the q-Genocchi polynomials. Further, we give some formulae on the Bernstein and q-Genocchi polynomials by using p-adic integral on Zp. From these relationships, we establish some interesting identities.

Abstract. The purpose of this paper is to give a new construction of the extended q-Euler numbers and polynomials of higher-order with weight by using p-adic q-integral on Zp.