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RISS 인기검색어
- 검색키워드
- 저자 : Dolgy, Dmitry Victorovich (검색결과 77 건)
- 무료
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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.
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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 ${\alpha}$.
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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.
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Interval uncertainty non-cooperative games
D.Dolgy 장전수학회 2024 Proceedings of the Jangjeon mathematical society Vol.27 No.1
One of the effective tools for studying mathematical models with uncertain factors is interval analysis. In this paper, interval analysis is applied to non-cooperative games with hopeless payoff uncertainty. In other words, the model of the game assumes that the payoff of each participant can be any real number from some interval and there is no additional information about the distribution of payoffs within the interval. To determine equilibrium situations, partial ordering of intervals based on a numerical indicator is used. This allows us to reduce the original game to a new deterministic game and generalize the classical theory.
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Vitality problem for linear controlled system
Dmitriy V. Dolgy 장전수학회 2013 Advanced Studies in Contemporary Mathematics Vol.23 No.1
The problem of vitality of the linear controlled system is introduced. It is shown that vitality problem is equivalent to the problem of solving linear system with interval coefficients. One constructive method of solving it is suggested.
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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
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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.
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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.
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