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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 59 Issue 2

  1. Rostami, Hojjat 203
    https://doi.org/10.5666/KMJ.2019.59.2.203 PDF KSCI
    The commutativity degree of a finite group is the probability that two randomly chosen group elements commute. In this paper we give a sharp upper bound of commutativity degree of nonabelial groups in terms of their order.
  2. Farshadifar, Faranak 209
    https://doi.org/10.5666/KMJ.2019.59.2.209 PDF KSCI
    In this paper, we introduce the notion of quasi 2-absorbing submodules of modules over a commutative ring and obtain some basic properties of this class of modules.
  3. Rahrovi, Samira;Piri, Hossein;Sokol, Janusz 215
    https://doi.org/10.5666/KMJ.2019.59.2.215 PDF KSCI
    In the present paper, some generalizations of analytic functions have been considered and the bounds of the coefficients of these classes of bi-univalent functions have been investigated.
  4. Jung, Il Bong;Ko, Eungil;Pearcy, Carl 225
    https://doi.org/10.5666/KMJ.2019.59.2.225 PDF KSCI
    In a previous paper, the authors of this paper studied $2{\times}2$ matrices in upper triangular form, whose entries are operators on Hilbert spaces, and in which the the (1, 1) entry has a nontrivial hyperinvariant subspace. We were able to show, in certain cases, that the $2{\times}2$ matrix itself has a nontrivial hyperinvariant subspace. This generalized two earlier nice theorems of H. J. Kim from 2011 and 2012, and made some progress toward a solution of a problem that has been open for 45 years. In this paper we continue our investigation of such $2{\times}2$ operator matrices, and we improve our earlier results, perhaps bringing us closer to the resolution of the long-standing open problem, as mentioned above.
  5. Ozarslan, Hikmet Seyhan 233
    https://doi.org/10.5666/KMJ.2019.59.2.233 PDF KSCI
    In the present paper, absolute matrix summability of infinite series is studied. A new theorem concerning absolute matrix summability factors, which generalizes a known theorem dealing with absolute Riesz summability factors of infinite series, is proved using almost increasing and ${\delta}$-quasi-monotone sequences. Also, a result dealing with absolute $Ces{\grave{a}}ro$ summability is given.
  6. Park, Ah-ran;Jeong, Jin-Mun 241
    https://doi.org/10.5666/KMJ.2019.59.2.241 PDF KSCI
    In this paper, we deal with the null controllability of semilinear functional integrodifferential control systems under the Lipschitz continuity of nonlinear terms. Moreover, we establish the regularity and a variation of constant formula for solutions of the given control systems in Hilbert spaces.
  7. Heraiz, Rabah 259
    https://doi.org/10.5666/KMJ.2019.59.2.259 PDF KSCI
    The aim of this paper is to prove that Marcinkiewicz integral operators are bounded from ${\dot{K}}^{{\alpha}({\cdot}),q({\cdot})}_{p({\cdot})}({\mathbb{R}}^n)$ to ${\dot{K}}^{{\alpha}({\cdot}),q({\cdot})}_{p({\cdot})}({\mathbb{R}}^n)$ when the parameters ${\alpha}({\cdot})$, $p({\cdot})$ and $q({\cdot})$ satisfies some conditions. Also, we prove the boundedness of ${\mu}$ on variable Herz-type Hardy spaces $H{\dot{K}}^{{\alpha}({\cdot}),q({\cdot})}_{p({\cdot})}({\mathbb{R}}^n)$.
  8. Ahuja, Om;Cetinkaya, Asena;Kahramaner, Yasemin 277
    https://doi.org/10.5666/KMJ.2019.59.2.277 PDF KSCI
    Using the concept of bounded boundary rotation, we investigate various properties of two new generalized classes of spirallike and Robertson functions of complex order with bounded boundary rotations.
  9. Kim, Yong Sup;Choi, Junesang;Rathie, Arjun Kumar 293
    https://doi.org/10.5666/KMJ.2019.59.2.293 PDF KSCI
    A number of identities associated with the product of generalized hypergeometric series have been investigated. In this paper, we aim to establish an identity involving the product of the generalized hypergeometric series $_2F_2$. We do this using the generalized Kummer-type II transformation due to Rathie and Pogany and another identity due to Bailey. The result presented here, being general, can be reduced to a number of relatively simple identities involving the product of generalized hypergeometric series, some of which are observed to correspond to known ones.
  10. El-Deeb, Sheeza M.;Bulboaca, Teodor;Dziok, Jacek 301
    https://doi.org/10.5666/KMJ.2019.59.2.301 PDF KSCI
    The aim of this article is to make a connection between the Pascal distribution series and some subclasses of normalized analytic functions whose coefficients are probabilities of the Pascal distribution. For these functions, for linear combinations of these functions and their derivatives, for operators defined by convolution products, and for the Alexander-type integral operator, we find simple sufficient conditions such that these mapping belong to a general class of functions defined and studied by Goodman, Rønning, and Bharati et al.
  11. Baek, Seunghwan;Do, Hyunjin;Lee, Mi Ryeong;Li, Chunji 315
    https://doi.org/10.5666/KMJ.2019.59.2.315 PDF KSCI
    In this note we introduce a local-cubically hyponormal weighted shift of order ${\theta}$ with $0{\leq}{\theta}{\leq}{\frac{\pi}{2}}$, which is a new notion between cubic hyponormality and quadratic hyponormality of operators. We discuss the property of flatness for local-cubically hyponormal weighted shifts.
  12. Khan, Nabiullah;Ghayasuddin, Mohd;Shadab, Mohd 325
    https://doi.org/10.5666/KMJ.2019.59.2.325 PDF KSCI
    Motivated by the results on generating functions investigated by H. Exton and many other authors, we derive certain (presumably) new generating functions for generalized Mittag-Leffler-type functions. Specifically, we introduce a new class of generating relations (which are partly bilateral and partly unilateral) involving the generalized Mittag-Leffler function. Also we present some special cases of our main result.
  13. Vaidya, Samir K.;Popat, Kalpesh M. 335
    https://doi.org/10.5666/KMJ.2019.59.2.335 PDF KSCI
    The energy of a graph G is the sum of the absolute values of the eigenvalues of the adjacency matrix of G. Some variants of energy can also be found in the literature, in which the energy is defined for the Laplacian matrix, Distance matrix, Commonneighbourhood matrix or Seidel matrix. The Seidel matrix of the graph G is the square matrix in which $ij^{th}$ entry is -1 or 1, if the vertices $v_i$ and $v_j$ are adjacent or non-adjacent respectively, and is 0, if $v_i=v_j$. The Seidel energy of G is the sum of the absolute values of the eigenvalues of its Seidel matrix. We present here some families of pairs of graphs whose Seidel matrices have different eigenvalues, but who have the same Seidel energies.
  14. Azami, Shahroud 341
    https://doi.org/10.5666/KMJ.2019.59.2.341 PDF KSCI
    Let M be an n-dimensional closed Riemannian manifold with metric g, $d{\mu}=e^{-{\phi}(x)}d{\nu}$ be the weighted measure and ${\Delta}_{p,{\phi}}$ be the weighted p-Laplacian. In this article we will study the evolution and monotonicity for the first nonzero eigenvalue problem of the weighted p-Laplace operator acting on the space of functions along the Yamabe flow on closed Riemannian manifolds. We find the first variation formula of it along the Yamabe flow. We obtain various monotonic quantities and give an example.
  15. Tiwari, Bankteshwar;Gangopadhyay, Ranadip;Prajapati, Ghanashyam Kr. 353
    https://doi.org/10.5666/KMJ.2019.59.2.353 PDF KSCI
    In this paper, we study general (${\alpha}$, ${\beta}$) Finsler metrics and prove that every general (${\alpha}$, ${\beta}$)-metric is semi C-reducible but not C2-like. As a consequence of this result we prove that every general (${\alpha}$, ${\beta}$)-metric satisfying the Ricci flow equation is Einstein.