9 citations · 44 across the 9 of their papers we have counts for
9 papers
q-Bernstein polynomials associated with q-stirling numbers and Carlitz's q-Bernoulli numbers
Taekyun Kim, Younghee Kim, Jongsoung Choi
Recently, Kim proposed interesting q-extension of Bernstein polynomials and positive linear operators on C[0,1] which are different Phillips' q-Bernstein polynomials. From Kim's q-…
On p-adic analogue of q-Bernstein polynomials and related integrals
Taekyun Kim, Lee-Chae jang, Younghee Kim +1
In this paper, we give p-adic q-integral representation for the Kim's q-Bernstein polynomials and we give some interesting formulae realted to Carlitz's q-Bernoulli numbers.
On the fermionic p-adic integral representation of Bernstein polynomials associated with Euler numbers and polynomials
T. Kim, J. Choi, Y. H. Kim +1
In this paper, we give a fermionic p-adic integral representions of Benstein polynomials associated with Euler numbers and polynomials. Finally, we give some interesting identities…
Generating functions for q-Bernstein, q-Meyer-Konig-Zeller and q-Beta basis
Vijay Gupta, Taekyun Kim, Jongsung Choi +1
The present paper deals with the q-analogue of Bernstein, Meyer-Konig-Zeller and Beta operators. Here we estimate the generating functions for q-Bernstein, q-Meyer-Konig-Zeller and…
Some identities on the q-Bernstein polynomials, q-Stirling number and q-Bernoulli numbers
Taekyun Kim, Jongsung Choi, Young-Hee Kim
Recently, Kim-Jang-Yi have introduced q-Bernstein polynomials. From these q-Berstein polynomials, we investigte some properties related to q-Stirling numbes and q-Bernoulli numbes.
A note on the generalized q-Euler numbers(2)
Kyoung-Ho Park, Young-Hee Kim, Taekyun Kim
In this paper we study the genralized q-Euler numbers and polynomials. From our results, we derive some interesting congruences related tothe generalized q-Euler numbers.