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Akademický článek

q-Bernoulli numbers and q-Bernoulli polynomials revisited

Autor: Kim Taekyun, Lee Byungje, Ryoo Cheon

Publikováno v: Advances in Difference Equations, Vol 2011, Iss 1, p 33 (2011)

Abstract This paper performs a further investigation on the q-Bernoulli numbers and q-Bernoulli polynomials given by Acikgöz et al. (Adv Differ Equ, Article ID 951764, 9, 2010), some incorrect properties are revised. It is point out that the generat

Externí odkaz: https://doaj.org/article/0331a9a4ff3c4be88100262fcee67dc4

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Akademický článek

Some identities on the weighted q-Euler numbers and q-Bernstein polynomials

Autor: Ryoo Cheon, Kim Taekyun, Kim Young-Hee

Publikováno v: Journal of Inequalities and Applications, Vol 2011, Iss 1, p 64 (2011)

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 pape

Externí odkaz: https://doaj.org/article/b535b6304f70482a9faa9c761c24abd9

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Akademický článek

On Carlitz's Type -Euler Numbers Associated with the Fermionic -Adic Integral on

Autor: Kim Taekyun, Ryoo Cheon-Seoung, Kim Min-Soo

Publikováno v: Journal of Inequalities and Applications, Vol 2010, Iss 1, p 358986 (2010)

We consider the following problem in the paper of Kim et al. (2010): "Find Witt's formula for Carlitz's type -Euler numbers." We give Witt's formula for Carlitz's type -Euler numbers, which is an answer to the above problem. Moreover, we obtain a new

Externí odkaz: https://doaj.org/article/aef47f4418db4505a29e45209f6c896e

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Akademický článek

Some Identities of Bernoulli Numbers and Polynomials Associated with Bernstein Polynomials

Autor: Kim Taekyun, Ryoo Cheon-Seoung, Lee Byungje, Kim Min-Soo

Publikováno v: Advances in Difference Equations, Vol 2010, Iss 1, p 305018 (2010)

We investigate some interesting properties of the Bernstein polynomials related to the bosonic -adic integrals on .

Externí odkaz: https://doaj.org/article/6938417f14b4400e9a9d9f63bce3f31e

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Akademický článek

Note on -Extensions of Euler Numbers and Polynomials of Higher Order

Autor: Jang Lee-Chae, Ryoo Cheon-Seoung, Kim Taekyun

Publikováno v: Journal of Inequalities and Applications, Vol 2008, Iss 1, p 371295 (2008)

Abstract In 2007, Ozden et al. constructed generating functions of higher-order twisted -extension of Euler polynomials and numbers, by using -adic, -deformed fermionic integral on . By applying their generating functions, they derived the complete s

Externí odkaz: https://doaj.org/article/e9973650467048c698668149eb90ee84

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Akademický článek

New Integral Inequalities for Iterated Integrals with Applications

Autor: Ryoo Cheon Seoung, Kim Young-Ho, Agarwal Ravi P

Publikováno v: Journal of Inequalities and Applications, Vol 2007, Iss 1, p 024385 (2007)

Some new nonlinear retarded integral inequalities of Gronwall type are established. These inequalities can be used as basic tools in the study of certain classes of integrodifferential equations.

Externí odkaz: https://doaj.org/article/17d142bf51c84b9ab2f32eaf2b90f097

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