a1 Division of General Education-Mathematics, Kwangwoon University, Seoul 139-701, S. Korea e-mail: email@example.com
Recently, q-Dedekind-type sums related to q-zeta function and basic L-series are studied by Simsek in  (Y. Simsek, q-Dedekind type sums related to q-zeta function and basic L-series, J. Math. Anal. Appl. 318 (2006), 333–351) and Dedekind-type sums related to Euler numbers and polynomials are introduced in the previous paper  (T. Kim, Note on Dedekind type DC sums, Adv. Stud. Contem. Math. 18 (2009), 249–260). It is the purpose of this paper to construct a p-adic continuous function for an odd prime to contain a p-adic q-analogue of the higher order Dedekind the type sums related to q-Euler polynomials and numbers by using an invariant p-adic q-integrals.
(Received July 28 2009)
(Accepted August 31 2011)
2000 Mathematics Subject Classification
The present Research was conducted in 2011 by the research Grant of Kwangwoon University.