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 Mathematics0049-2930Normal edge-transitive and \frac{1}{2}-arc-transitive cayley graphs on non-abelian groups of odd order 3pq, p and q are primes
http://journals.math.tku.edu.tw/index.php/TKJM/article/view/2169
Suppose $p$ and $q$ are odd prime numbers. In this paper, the connected Cayley graph of groups of order $3pq$, for primes $p$ and $q$, are investigated and all connected normal $\frac{1}{2}-$arc-transitive Cayley graphs of group of these orders will be classified.Ali Reza AshrafiBijan Soleimani2018-09-302018-09-3049Factorized enhancement of Copson's inequality
http://journals.math.tku.edu.tw/index.php/TKJM/article/view/2358
This paper dealt with the factorized enhancement of Copson's inequality and improves one of the results given by Leindler.Atanu Manna2018-09-302018-09-3049Certain results on N(k)-contact metric manifolds
http://journals.math.tku.edu.tw/index.php/TKJM/article/view/2506
In the present paper we study contact metric manifolds whose characteristic vector field $\xi$ belonging to the $k$-nullity distribution. First we consider concircularly pseudosymmetric $N(k)$-contact metric manifolds of dimension $(2n+1)$. Beside these, we consider Ricci solitons and gradient Ricci solitons on three dimensional $N(k)$-contact metric manifolds. As a consequence we obtain several results. Finally, an example is given.Uday Chand De2018-09-302018-09-3049Constant curvature surfaces in a pseudo-isotropic space
http://journals.math.tku.edu.tw/index.php/TKJM/article/view/2613
In this study, we deal with the local structure of curves and surfaces immersed in a pseudo-isotropic space $\mathbb{I}_{p}^{3}$ that is a particular Cayley-Klein space. We provide the formulas of curvature, torsion and Frenet trihedron for spacelike and timelike curves, respectively. The causal character of all admissible surfaces in $\mathbb{I}_{p}^{3}$ has to be timelike up to its absolute. We introduce the formulas of Gaussian and mean curvature for timelike surfaces in $\mathbb{I}_{p}^{3}$. As applications, we describe the surfaces of revolution which are the orbits of a plane curve under a hyperbolic rotation with constant Gaussian and mean curvature.Muhittin Evren Aydin2018-09-302018-09-3049Optimal casorati inequalities on bi-slant submanifolds of generalized sasakian space forms
http://journals.math.tku.edu.tw/index.php/TKJM/article/view/2638
In this paper, we use T Oprea's optimization method to establish some optimal Casorati inequalities, which involve the normalized scalar curvature for bi-slant submanifolds of generalized Sasakian space forms. In the continuation, we show that in both cases, the equalities hold if and only if submanifolds are invariantly quasi-umbilical.Aliya Naaz Siddiqui2018-09-302018-09-3049Inequalities of Jensen's type for generalized k-g-fractional integrals
http://journals.math.tku.edu.tw/index.php/TKJM/article/view/2690
In this paper we establish some inequalities of Jensen and Hermite-Hadamard type for the $k$-$g$-fractional integrals of convex functions defined an interval $\left[ a,b\right] $. Some examples for the\textit{\ generalized} \textit{left-} and \textit{right-sided Riemann-Liouville fractional integrals} of a function $f$ with respect to another function $g$ on $\left[ a,b\right] $ and for classical Riemann-Liouville fractional integrals are also given.Silvestru Sever Dragomir2018-09-302018-09-3049