On q -Euler Numbers Related to the Modified q -Bernstein Polynomials

Min-Soo Kim; Daeyeoul Kim; Taekyun Kim

doi:10.1155/2010/952384

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Home > Journals > Abstr. Appl. Anal. > Volume 2010 > Article

2010 On

q

-Euler Numbers Related to the Modified

q

-Bernstein Polynomials

Min-Soo Kim, Daeyeoul Kim, Taekyun Kim

Abstr. Appl. Anal. 2010: 1-15 (2010). DOI: 10.1155/2010/952384

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Abstract

We consider q-Euler numbers, polynomials, and q-Stirling numbers of first and second kinds. Finally, we investigate some interesting properties of the modified q-Bernstein polynomials related to q-Euler numbers and q-Stirling numbers by using fermionic p-adic integrals on ${\mathbb{Z}}_{p}$ .

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Min-Soo Kim. Daeyeoul Kim. Taekyun Kim. "On $q$ -Euler Numbers Related to the Modified $q$ -Bernstein Polynomials." Abstr. Appl. Anal. 2010 1 - 15, 2010. https://doi.org/10.1155/2010/952384