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ON THE SYMMETRIC IDENTITIES OF MODIFIED DEGENERATE BERNOULLI POLYNOMIALS
D. V. Dolgy,김태균,서종진 장전수학회 2016 Proceedings of the Jangjeon mathematical society Vol.19 No.2
Recently, Dolgy-Kim-Kwon-Seo introduced the modified de- generate Bernoulli polynomials which are different from Carlitz's degener- ate Bernoulli polynomials(see [5]). In this paper, we investigate some sym- metric identities for the modified degenerate Bernoulli polynomials arising from p-adic invariant integral on Zp.
D. V. Dolgy,T. KIM,S. H. LEE,임석훈 장전수학회 2014 Advanced Studies in Contemporary Mathematics Vol.24 No.4
In this paper, we give some symmetric identities for the generalized higher-order q-Euler polynomials under Digedral group D3 which are derived from ordinary fermionic integral on Zp.
On reduction of interval decision-making problems
D. V. Dolgy 장전수학회 2023 Advanced Studies in Contemporary Mathematics Vol.33 No.1
On reduction of interval decision-making problems
A Note on the Weighted q-Bernoulli Numbers and the Weighted q-Bernstein Polynomials
( D. V. Dolgy ),( T. Kim ) 호남수학회 2011 호남수학학술지 Vol.33 No.4
Recently, the modified q-Bernoulli numbers and polynomials with weight α are introduced in [3]. In this paper we give some interesting p-adic integral representation on Zp of the weighted q-Bernstein polynomials related to the modified q-Bernoulli numbers and polynomials with weight α. From those integral representation on Zp of the weighted q-Bernstein polynomials, we can derive some identities on the modified q-Bernoulli numbers and polynomials with weight α.
A NOTE ON THE WEIGHTED q-BERNOULLI NUMBERS AND THE WEIGHTED q-BERNSTEIN POLYNOMIALS
Dolgy, D.V.,Kim, T. The Honam Mathematical Society 2011 호남수학학술지 Vol.33 No.4
Recently, the modified q-Bernoulli numbers and polynomials with weight ${\alpha}$ are introduced in [3]: In this paper we give some interesting p-adic integral representation on $\mathbb{Z}_p$ of the weighted q-Bernstein polynomials related to the modified q-Bernoulli numbers and polynomials with weight ${\alpha}$. From those integral representation on $\mathbb{Z}_p$ of the weighted q-Bernstein polynomials, we can derive some identities on the modified q-Bernoulli numbers and polynomials with weight ${\alpha}$.
On the q-analogue of Euler measure with weight α
D. V. Dolgy,T. Kim,B. Lee,C. S. Ryoo 장전수학회 2011 Advanced Studies in Contemporary Mathematics Vol.21 No.4
Recently, the q-Euler numbers and polynomials with weight α are introduced in [11]. From these q-Euler polynomials with weight α, we derive the q-analogue of Euler measure with weight α.
Accelerated parallel projection method for solving the shortest distance problem
D. V. Dolgy,E. A. Nurminski 장전수학회 2012 Advanced Studies in Contemporary Mathematics Vol.22 No.1
We consider the problem of finding the vector of minimum length in the simplex of finite dimensional Euclidean space. A final accelerated parallel algorithm for solving this problem is proposed.
D. V. Dolgy,T. Kim,S.-H. Rim,S. H. LEE 장전수학회 2014 Proceedings of the Jangjeon mathematical society Vol.17 No.4
Symmetry identities for the generalized higher-order q-Bernoulli polynomials under arising from -adic Volkenborn ingegral on Z_p
Degenerate poly-Cauchy polynomials
Dolgy, D.V.,Kim, D.S.,Kim, T.,Mansour, T. Elsevier [etc.] 2015 Applied mathematics and computation Vol.269 No.-
In this paper, we study several properties for the degenerate poly-Cauchy polynomials. We present several explicit formulas and recurrence relations for these polynomials. Also, we establish a connection between our polynomials and several known families of polynomials.
Symmetry identities for Changhee polynomials arising from the fermionic p-adic integral on Zp
D. V. Dolgy,김태균,서종진 장전수학회 2016 Advanced Studies in Contemporary Mathematics Vol.26 No.2
In this paper, we derive some symmetric identities for Changhee polynomials arising from the fermionic integral on Zp