Some identities on the weighted q-Euler numbers and <it>q</it>-Bernstein polynomials

Abstract

Abstract Recently, Ryoo introduced the weighted q-Euler numbers and polynomials which are a slightly different Kim's weighted q-Euler numbers and polynomials(see C. S. Ryoo, A note on the weighted q-Euler numbers and polynomials, 2011]). In this paper, we give some interesting new identities on the weighted q-Euler numbers related to the q-Bernstein polynomials 2000 Mathematics Subject Classification - 11B68, 11S40, 11S80

Keywords

• Euler numbers and polynomials
• <it>q</it>-Euler numbers and polynomials
• weighted
• <it>q</it>-Euler numbers and polynomials
• Bernstein polynomials
• <it>q</it>-Bernstein polynomials