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1

Some new identities on the twisted carlitz'sq-bernoulli numbers andq-bernstein polynomials

Lee-Chae Jang, Taekyun Kim, Young-Hee Kim, Byungje Lee

Journal:

Journal of Inequalities and Applications

Year:

2011

Language:

english

File:

PDF, 162 KB

english, 2011

2

Some identities on the twistedq-Bernoulli numbers and polynomials with weightα

Journal:

Journal of Inequalities and Applications

Year:

2012

Language:

english

File:

PDF, 161 KB

english, 2012

3

On the Identities of Symmetry for the Generalized Bernoulli Polynomials Attached to of Higher Order

Kim, Taekyun, Jang, Lee-Chae, Kim, Young-Hee, Hwang, Kyung-Won

Journal:

Journal of Inequalities and Applications

Year:

2009

Language:

english

File:

PDF, 157 KB

english, 2009

4

On modified degenerate Carlitz q-Bernoulli numbers and polynomials

Lee, Jeong Gon, Jang, Lee-Chae

Journal:

Advances in Difference Equations

Year:

2017

Language:

english

File:

PDF, 1.34 MB

english, 2017

5

Some Identities of Fully Degenerate Bernoulli Polynomials Associated with Degenerate Bernstein Polynomials

Lee, Jeong Gon, Kim, Wonjoo, Jang, Lee-Chae

Journal:

Year:

2019

Language:

english

File:

PDF, 231 KB

english, 2019

6

Some Identities on Type 2 Degenerate Bernoulli Polynomials of the Second Kind

Kim, Taekyun, Jang, Lee-Chae, Kim, Dae San, Kim, Han Young

Journal:

Year:

2020

File:

PDF, 248 KB

2020

7

On p-adic Bounded Functions, II

Lee-Chae Jang, Min-Soo Kim, Jin-Woo Son, Taekyun Kim, Seog-Hoon Rim

Journal:

Journal of Mathematical Analysis and Applications

Year:

2001

Language:

english

File:

PDF, 87 KB

english, 2001

8

On non-monotonic fuzzy measures of Φ-bounded variation

Lee-Chae Jang, Joong-Sung Kwon

Journal:

Fuzzy Sets and Systems

Year:

1997

Language:

english

File:

PDF, 284 KB

english, 1997

9

Convergences of sequences of set-valued and fuzzy-set-valued functions

Lee-Chae Jang, Joong-Sung Kwon

Journal:

Fuzzy Sets and Systems

Year:

1998

Language:

english

File:

PDF, 409 KB

english, 1998

10

A uniform strong law of large numbers for partial sum processes of fuzzy random variables indexed by sets

Lee-Chae Jang, Joong-Sung Kwon

Journal:

Fuzzy Sets and Systems

Year:

1998

Language:

english

File:

PDF, 299 KB

english, 1998

11

Cardinality concepts for type-two fuzzy sets

Lee-Chae Jang, Dan Ralescu

Journal:

Fuzzy Sets and Systems

Year:

2001

Language:

english

File:

PDF, 100 KB

english, 2001

12

A uniform strong law of large numbers for partial sum processes of Banach space-valued random sets

Lee-Chae Jang, Joong-Sung Kwon

Journal:

Statistics & Probability Letters

Year:

1998

Language:

english

File:

PDF, 211 KB

english, 1998

13

A note on convergence properties of interval-valued capacity functionals and Choquet integrals

Journal:

Information Sciences

Year:

2012

Language:

english

File:

PDF, 221 KB

english, 2012

14

A note on the interval-valued generalized fuzzy integral by means of an interval-representable pseudo-multiplication and their convergence properties

Journal:

Fuzzy Sets and Systems

Year:

2013

Language:

english

File:

PDF, 265 KB

english, 2013

15

Some properties of the interval-valued-integrals and a standard interval-valued-convolution

Journal:

Journal of Inequalities and Applications

Year:

2014

Language:

english

File:

PDF, 247 KB

english, 2014

16

A note on the Von Staudt-Clausen’s theorem for the weighted q-Genocchi numbers

Kim, Byung, Jang, Lee-Chae

Journal:

Advances in Difference Equations

Year:

2015

Language:

english

File:

PDF, 876 KB

english, 2015

17

On Properties of the Choquet Integral of Interval-Valued Functions

Journal:

Journal of Applied Mathematics

Year:

2011

Language:

english

File:

PDF, 196 KB

english, 2011

18

Multiple Twisted-Euler Numbers and Polynomials Associated with-Adic-Integrals

Journal:

Advances in Difference Equations

Year:

2007

Language:

english

File:

PDF, 243 KB

english, 2007

19

A Note on (h,q)-Genocchi Polynomials and Numbers of Higher Order

Jang, Lee-Chae, Hwang, Kyung-Won, Kim, Young-Hee

Journal:

Advances in Difference Equations

Year:

2010

Language:

english

File:

PDF, 142 KB

english, 2010

20

A Study on the p-Adic Integral Representation on ℤp Associated with Bernstein and Bernoulli Polynomials

Jang, Lee-Chae, Kim, Won-Joo, Simsek, Yilmaz

Journal:

Advances in Difference Equations

Year:

2010

Language:

english

File:

PDF, 125 KB

english, 2010

21

New Approach to q-Euler Numbers and Polynomials

Kim, Taekyun, Jang, Lee-Chae, Kim, Young-Hee, Rim, Seog-Hoon

Journal:

Advances in Difference Equations

Year:

2010

Language:

english

File:

PDF, 176 KB

english, 2010

22

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

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

Journal:

Journal of Inequalities and Applications

Year:

2008

Language:

english

File:

PDF, 109 KB

english, 2008

23

Note on q-Nasybullin's Lemma Associated with the Modified p-Adic q-Euler Measure

Kim, Taekyun, Kim, Young-Hee, Jang, Lee-Chae, Rim, Seog-Hoon, Lee, Byungje

Journal:

Journal of Inequalities and Applications

Year:

2010

Language:

english

File:

PDF, 97 KB

english, 2010

24

-Bernstein Polynomials

Kim, Taekyun, Jang, Lee-Chae, Yi, Heungsu

Journal:

Discrete Dynamics in Nature and Society

Year:

2010

Language:

english

File:

PDF, 229 KB

english, 2010

25

Note on the Choquet Integral as an Interval-Valued Aggregation Operators and Their Applications

Journal:

Journal of Applied Mathematics

Year:

2012

Language:

english

File:

PDF, 134 KB

english, 2012

26

-Extension of Apostol-Euler Numbers and Polynomials

Kim, Young-Hee, Kim, Wonjoo, Jang, Lee-Chae

Journal:

Abstract and Applied Analysis

Year:

2008

Language:

english

File:

PDF, 103 KB

english, 2008

27

A Note on Hölder Type Inequality for the Fermionic -Adic Invariant -Integral

Journal:

Journal of Inequalities and Applications

Year:

2009

Language:

english

File:

PDF, 127 KB

english, 2009

28

-Integrals

Journal:

Abstract and Applied Analysis

Year:

2008

Language:

english

File:

PDF, 89 KB

english, 2008

29

Some Relationships between the Analogs of Euler Numbers and Polynomials

Ryoo, CS, Kim, T, Jang, Lee-Chae

Journal:

Journal of Inequalities and Applications

Year:

2007

Language:

english

File:

PDF, 423 KB

english, 2007

30

Some identities of higher order Barnes-type q-Bernoulli polynomials and higher order Barnes-type q-Euler polynomials

Jang, Lee-Chae, Choi, Sang-Ki, Kwon, Hyuck In

Journal:

Advances in Difference Equations

Year:

2015

Language:

english

File:

PDF, 1.36 MB

english, 2015

31

Some properties of the twisted Changhee polynomials and their zeros

Jang, Lee-Chae, Ryoo, C.S., Seo, J.J., In Kwon, Hyuck

Journal:

Applied Mathematics and Computation

Year:

2016

Language:

english

File:

PDF, 375 KB

english, 2016

32

A note on the pseudo Stolarsky type inequality for the g¯

Journal:

Applied Mathematics and Computation

Year:

2015

Language:

english

File:

PDF, 263 KB

english, 2015

33

A note on Euler number and polynomials

Jang, Lee-Chae, Kim, Seoung-Dong, Park, Dal-Won, Ro, Young-Soon

Journal:

Journal of Inequalities and Applications

Year:

2006

Language:

english

File:

PDF, 176 KB

english, 2006

34

A note on the Barnes-type q-Euler polynomials

Jang, Lee-Chae, Lee, Jeong Gon

Journal:

Advances in Difference Equations

Year:

2015

Language:

english

File:

PDF, 1.35 MB

english, 2015

35

Some new and explicit identities related with the Appell-type degenerate q-Changhee polynomials

Qi, Feng, Jang, Lee-Chae, Kwon, Hyuck-In

Journal:

Advances in Difference Equations

Year:

2016

Language:

english

File:

PDF, 1.35 MB

english, 2016

36

Differential Equations Associated with Higher-order Frobenius–Euler Numbers Revisited

Kim, Taekyun, Kim, Dae San, Jang, Lee-Chae, Kwon, Hyuck In

Journal:

Differential Equations and Dynamical Systems

Year:

2017

Language:

english

File:

PDF, 383 KB

english, 2017

37

Degenerate Changhee-Genocchi numbers and polynomials

Kim, Byung Moon, Jang, Lee-Chae, Kim, Wonjoo, Kwon, Hyuck-In

Journal:

Journal of Inequalities and Applications

Year:

2017

Language:

english

File:

PDF, 1.25 MB

english, 2017

38

On Appell-type Changhee polynomials and numbers

Lee, Jeong Gon, Jang, Lee-Chae, Seo, Jong-Jin, Choi, Sang-Ki, Kwon, Hyuck In

Journal:

Advances in Difference Equations

Year:

2016

Language:

english

File:

PDF, 1.31 MB

english, 2016

39

-Genocchi Polynomials and Their Applications

Journal:

Mathematical Problems in Engineering

Year:

2010

Language:

english

File:

PDF, 1.82 MB

english, 2010

40

On p-Adic Fermionic Integrals of q-Bernstein Polynomials Associated with q-Euler Numbers and Polynomials †

Jang, Lee-Chae, Kim, Taekyun, Kim, Dae, Dolgy, Dmitry

Journal:

Year:

2018

Language:

english

File:

PDF, 232 KB

english, 2018

41

Fourier Series for Functions Related to Chebyshev Polynomials of the First Kind and Lucas Polynomials

Kim, Taekyun, Kim, Dae, Jang, Lee-Chae, Jang, Gwan-Woo

Journal:

Year:

2018

Language:

english

File:

PDF, 288 KB

english, 2018

42

Fourier Series for Functions Related to Chebyshev Polynomials of the First Kind and Lucas Polynomials

Kim, Taekyun, Kim, Dae, Jang, Lee-Chae, Jang, Gwan-Woo

Journal:

Year:

2018

File:

PDF, 288 KB

2018

43

Some Identities of Fully Degenerate Bernoulli Polynomials Associated with Degenerate Bernstein Polynomials

Lee, Jeong Gon, Kim, Wonjoo, Jang, Lee-Chae

Journal:

Year:

2019

File:

PDF, 231 KB

2019

44

-Daehee Polynomials

Kim, Won Joo, Jang, Lee-Chae, Kim, Byung Moon

Journal:

Discrete Dynamics in Nature and Society

Year:

2019

Language:

english

File:

PDF, 1.31 MB

english, 2019

45

On degenerate Daehee polynomials and numbers of the third kind

Jang, Lee-Chae, Kim, Wonjoo, Kwon, Hyuck-In, Kim, Taekyun

Journal:

Journal of Computational and Applied Mathematics

Year:

2019

Language:

english

File:

PDF, 384 KB

english, 2019

46

-Changhee Polynomials and Numbers

Kim, Byung Moon, Jang, Lee-Chae, Kim, Wonjoo, Kwon, Hyuck-In

Journal:

Discrete Dynamics in Nature and Society

Year:

2018

Language:

english

File:

PDF, 1.32 MB

english, 2018

47

On degenerate Daehee polynomials and numbers of the third kind

Jang, Lee-Chae, Kim, Wonjoo, Kwon, Hyuck-In, Kim, Taekyun

Journal:

Journal of Computational and Applied Mathematics

Year:

2019

File:

PDF, 384 KB

2019

48

A note on modified degenerate q-Daehee polynomials and numbers

Lee, Jeong Gon, Kim, Won Joo, Jang, Lee-Chae, Kim, Byung Moon

Journal:

Journal of Inequalities and Applications

Year:

2019

Language:

english

File:

PDF, 1.31 MB

english, 2019

49

Extended r-central Bell polynopmials with umbral calculus viewpoint

Jang, Lee-Chae, Kim, Taekyun, Kim, Dae San, Kim, Han Young

Journal:

Advances in Difference Equations

Year:

2019

Language:

english

File:

PDF, 1.30 MB

english, 2019

50

Representation by Chebyshev Polynomials for Sums of Finite Products of Chebyshev Polynomials

Kim, Taekyun, Kim, Dae, Jang, Lee-Chae, Dolgy, Dmitry

Journal:

Year:

2018

File:

PDF, 668 KB

2018