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Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University

  • Quarterly
  • /
  • 1225-6951(pISSN)
  • /
  • 0454-8124(eISSN)

Aim & Scope

This journal endeavours to publish research of broad interests in pure and applied mathematics. Each year one volume, consisting of four issues (March, June, September, December), is published.

KSCI KCI SCOPUS

Volume 52 Issue 2

  1. Choi, June-Sang;Hasanov, Anvar;Turaev, Mamasali 109
    https://doi.org/10.5666/KMJ.2012.52.2.109 PDF KSCI
    We aim at presenting certain unexpected functional relations among various hypergeometric functions of one or several variables (for example, see the identities in Corollary 5) by making use of Carlson's method employed in his work (Some extensions of Lardner's relations between $_0F_3$ and Bessel functions, SIAM J. Math. Anal. 1(2)(1970), 232-242).
  2. Esi, Ayhan 137
    https://doi.org/10.5666/KMJ.2012.52.2.137 PDF KSCI
    In this paper we introduce some new double sequence spaces via ideal convergence and an Orlicz function in $n$-normed spaces and examine some properties of the resulting spaces.
  3. Karamzadeh, Omid Ali Shahny 149
    https://doi.org/10.5666/KMJ.2012.52.2.149 PDF KSCI
    We show that the above lemma and its well-known refinement are valid, in a general setting, in non-commutative rings. Some interesting consequences are also observed.
  4. Mohanta, Sushanta Kumar 155
    https://doi.org/10.5666/KMJ.2012.52.2.155 PDF KSCI
    In this paper, we have studied some fixed point theorems on complete G-metric spaces.
  5. Kim, Sang-Dong;Kim, Phil-Su 167
    https://doi.org/10.5666/KMJ.2012.52.2.167 PDF KSCI
    In this article, we propose exponentially fitted error correction methods(EECM) which originate from the error correction methods recently developed by the authors (see [10, 11] for examples) for solving nonlinear stiff initial value problems. We reduce the computational cost of the error correction method by making a local approximation of exponential type. This exponential local approximation yields an EECM that is exponentially fitted, A-stable and L-stable, independent of the approximation scheme for the error correction. In particular, the classical explicit Runge-Kutta method for the error correction not only saves the computational cost that the error correction method requires but also gives the same convergence order as the error correction method does. Numerical evidence is provided to support the theoretical results.
  6. Wei, Junchao;Qu, Yinchun 179
    https://doi.org/10.5666/KMJ.2012.52.2.179 PDF KSCI
    We investigate in this paper rings containing a non-essential $nil$-injective maximal left ideal. We show that if R is a left MC2 ring containing a non-essential $nil$-injective maximal left ideal, then R is a left $nil$-injective ring. Using this result, some known results are extended.
  7. Tripathy, Binod Chandra;Sarma, Bipul 189
    https://doi.org/10.5666/KMJ.2012.52.2.189 PDF KSCI
    In this article we introduce the class of I-convergent double sequences of fuzzy real numbers. We have studied different properties like solidness, symmetricity, monotone, sequence algebra etc. We prove that the class of I-convergent double sequences of fuzzy real numbers is a complete metric spaces.
  8. Nakanishi, Yasutaka 201
    https://doi.org/10.5666/KMJ.2012.52.2.201 PDF KSCI
    By the works of Kondo and Sakai, it is known that Alexander polynomials of knots which are transformed into the trivial knot by a single crossing change are characterized. In this note, we will characterize Alexander polynomials of knots which are transformed into the trefoil knot (and into the figure-eight knot) by a single crossing change.
  9. Aouf, M.K.;Shamandy, A.;Mostafa, A.O.;Adwan, Eman A. 209
    https://doi.org/10.5666/KMJ.2012.52.2.209 PDF KSCI
    In this paper, we obtain some applications of first order differential subordination and superordination results involving the operator $J_{s,b}^{{\lambda},p}$ for certain normalized p-valent analytic functions associated with that operator.
  10. Kim, Soo-Hwan;Kim, Yang-Kok 223
    https://doi.org/10.5666/KMJ.2012.52.2.223 PDF KSCI
    There is a special connection between the Alexander polynomial of (1, 1)-knot and the certain polynomial associated to the Dunwoody 3-manifold ([3], [10] and [13]). We study the polynomial(called the Dunwoody polynomial) for the (1, 1)-knot obtained by the certain cyclically presented group of the Dunwoody 3-manifold. We prove that the Dunwoody polynomial of (1, 1)-knot in $\mathbb{S}^3$ is to be the Alexander polynomial under the certain condition. Then we find an invariant for the certain class of torus knots and all 2-bridge knots by means of the Dunwoody polynomial.