Tamkang Journal of Mathematics
http://journals.math.tku.edu.tw/index.php/TKJM
<strong>Welcome to Tamkang Journal of Mathematics </strong><br /><br /><strong>~Hot News~ </strong><br /><br /><strong>Tamkang Journal of Mathematics(TKJM) is included in Emerging Sources Citation Index (ESCI)</strong> <br /><br /><img src="/public/site/images/admin/201709_ESCI收錄TKJM畫面.jpg" alt="" width="450" height="247" /><br /><br /><br /><strong>Aims and Scope</strong><br /><div>To promote research interactions between local and overseas researchers, the Department has been publishing an international mathematics journal, the Tamkang Journal of Mathematics. The journal started as a biannual journal in 1970 and is devoted to high-quality original research papers in pure and applied mathematics. In 1985 it has become a quarterly journal.</div>Tamkang Universityen-USTamkang Journal of Mathematics0049-2930Uniqueness of certain type of differential-difference and difference polyniminals
http://journals.math.tku.edu.tw/index.php/TKJM/article/view/2234
In this paper we consider certain difference and differential-difference polynomials sharing some polynomial and improve a number of results in \cite{8a}, \cite{8aa} and \cite{18}. In particular we point out a gap in the argument in the proof of the main results in \cite {8aa} and rectifying the same we improve and extend the result to a large extent.Abhijit BanerjeeSujoy Majumder2018-03-252018-03-2549Some applications of certain integral operators involving functions
http://journals.math.tku.edu.tw/index.php/TKJM/article/view/2369
Integral transforms map equations from their original domains into others where manipulations and solutions may be much easier than in original domains. To get back in the original environment, we use the idea of inverse of the integral transform. A function analytic and locally univalent in a given simply connected domain is said to be of bounded boundary rotation if its range has bounded boundary rotation which is defined as the total variation of the direction angle of the tangent to the boundary curve under a complete circuit. \qquad The main objective of the present article is to study some applications of certain integral operators to functions of bounded radius rotation involving Janowski functions. We discuss some inclusion results under certain assumption on parameters involve in operators as well as in related subclasses of analytic functions. Most of these results are best possible. We also relate our findings with the existing literature of the subjects.Khhalida Inayat NoorBushra MalikSyed Zakar Hussain Bukhari2018-03-252018-03-2549Frame for operators in finite dimensional hilbert space
http://journals.math.tku.edu.tw/index.php/TKJM/article/view/2383
In this paper, we study frames for operators ($K$-frames) in finite dimensional Hilbert spaces and express the dual of $K$-frames. Some properties of $K$-dual frames are investigated. Furthermore, the notion of their oblique $K$-dual and some properties are presented.Mohammad JanfadaVahid Reza MorshediRajabali Kamyabi Gol2018-03-252018-03-2549A 2-edge partial inverse problem for the Sturm-Liouville operators with singular potentials on a star-shaped graph
http://journals.math.tku.edu.tw/index.php/TKJM/article/view/2425
Boundary value problems for Sturm-Liouville operators with potentials from the class $W_2^{-1}$ on a star-shaped graph are considered. We assume that the potentials are known on all the edges of the graph except two, and show that the potentials on the remaining edges can be constructed by fractional parts of two spectra. A uniqueness theorem is proved, and an algorithm for the constructive solution of the partial inverse problem is provided. The main ingredient of the proofs is the Riesz-basis property of specially constructed systems of functions.Natalia Pavlovna Bondarenko2018-03-252018-03-2549Dual translation surfaces in the three dimensional simply isotropic space $\mathbb{I}_{3}^{1}$
http://journals.math.tku.edu.tw/index.php/TKJM/article/view/2476
In this paper, we study the dual translation surfaces in three dimensional simply isotropic space. We give classification of dual translation surface with constant dual isotropic mean curvature or constant dual isotropic Guassian curvature.Mohamd Saleem LoneMurat Kemal Karacan2018-03-252018-03-2549Extended a constant part of Redheffer's type inequalities
http://journals.math.tku.edu.tw/index.php/TKJM/article/view/2505
J-L. Li and Y-L. Li \cite{LL2007} gave the following Redheffer's type inequality; \begin{equation*} \frac{ 1 -\left( \frac{x}{\pi} \right)^2 }{ \sqrt{1 + 3 \left( \frac{x}{\pi} \right)^4}} > \frac{\sin{x}}{x} \end{equation*} holds for $0 < x < \pi$, where the constant $3$ is the best possible. In this paper, we establish two inequalities extended the constant part of the above inequality.Yusuke Nishizawa2018-03-252018-03-2549