Springer Iranian Journal of Science and Technology (Sciences) 1028-6276 Articles in Press 2016 03 13 Approximation by q-analogue of Jakimovski-Leviatan operators involving q-Appell polynomials 3632 10.22099/ijsts.2016.3632 EN Mohamed Mursaleen Department of Mathematics, Aligarh Muslim University,Aligarh-202 002 India Khursheed J. Ansari Aligarh Muslim University Md Nasiuzzaman Aligarh Muslim University Journal Article 2015 10 17 In the present paper, we introduce q-analogue of the Jakimovski-Leviatan operators with the help of q-Appell polynomials. We establish some moments and auxiliary results by using q-derivatives and then prove a basic convergence theorem. Also, the Voronovskaja-type asymptotic formula and some direct results for the above operators are discussed. Moreover, the rate of convergence and weighted approximation by these operators in terms of modulus of continuity are studied.