https://journals.math.tku.edu.tw/index.php/TKJM/issue/feed Tamkang Journal of Mathematics 2019-11-12T23:55:42+00:00 Editorial Office eo-tkjm@mail2.tku.edu.tw Open Journal Systems <p><strong>Welcome to Tamkang Journal of Mathematics </strong><span lang="en"><strong><span lang="en"><span lang="en"><br><br><strong>~Hot News~ </strong><br><strong>Tamkang Journal of Mathematics(TKJM) is included in Emerging Sources Citation Index (ESCI)</strong> <br><br><img src="/public/201709_ESCI_toTKJM.jpg" alt="TKJM in ESCI" width="469" height="220"><br><br><br><strong>Aims and Scope</strong><br></span></span></strong></span></p> <p>&nbsp;</p> <p>&nbsp;</p> <p>&nbsp;</p> <p>&nbsp;</p> <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 &nbsp;in pure and applied mathematics. In 1985 it has become a quarterly journal.</div> https://journals.math.tku.edu.tw/index.php/TKJM/article/view/2707 On the planarity and perfectness of annihilator ideal graphs 2019-11-04T11:34:13+00:00 Reza Nikandish r.nikandish@ipm.ir M. J Nikmehr nikmehr@kntu.ac.ir S. M Hosseini smhossein@mail.kntu.ac.ir <p>Let $R$ be a commutative ring with unity. The annihilator ideal graph of $R$, denoted by $\Gamma _{\mathrm{Ann}} (R) $, is a graph whose vertices are all non-trivial ideals of $R$ and two distinct vertices $I$ and $J$ are adjacent if and only if<br />$ I \cap \mathrm{Ann} _{R} (J) \neq \lbrace 0\rbrace $ or $J \cap \mathrm{Ann} _{R} (I) \neq \lbrace 0\rbrace $.<br />In this paper, all rings with planar annihilator ideal graphs are classified.<br />Furthermore, we show that all annihilator ideal graphs are perfect. Among other results, it is proved that if $\Gamma _{\mathrm{Ann}} (R) $ is a tree, then $\Gamma _{\mathrm{Ann}} (R) $ is star.</p> 2019-12-30T00:00:00+00:00 Copyright (c) 2019 Tamkang Journal of Mathematics https://journals.math.tku.edu.tw/index.php/TKJM/article/view/2714 The reciprocal complementary Wiener number of graphs 2019-11-04T11:33:42+00:00 Ramin Nasiri R.Nasiri.82@gmail.com <p>The reciprocal complementary Wiener number (RCW) of a connected graph G is defined as the sum of<br />weights frac{1}{D+1-d_G(x,y)} over all unordered vertex pairs in a graph G, where D is the diameter of G<br />and d_G(x,y) is the distance between vertices x and y. In this paper, we find new bounds for RCW of<br />graphs, and study this invariant of two important types of graphs, named the Bar-Polyhex and the<br />Mycielskian graphs.</p> 2019-12-30T00:00:00+00:00 Copyright (c) 2019 Tamkang Journal of Mathematics https://journals.math.tku.edu.tw/index.php/TKJM/article/view/2791 Chebyshev type inequalities involving generalized Katugampola fractional integral operators 2019-11-04T11:33:11+00:00 Erhan Set erhanset@yahoo.com Junesang Choi junesang@mail.dongguk.ac.kr \.{I}lker Mumcu mumcuilker@msn.com A number of Chebyshev type inequalities involving various<br /> fractional integral operators have, recently, been presented.<br />Here, motivated essentially by the earlier works and their applications in<br /> diverse research subjects, we aim to establish several Chebyshev type inequalities involving generalized Katugampola fractional integral operator. Relevant connections of the results presented here with those (known and new) involving relatively simpler and familiar fractional integral operators are also pointed out. 2019-12-30T00:00:00+00:00 Copyright (c) 2019 Tamkang Journal of Mathematics https://journals.math.tku.edu.tw/index.php/TKJM/article/view/2831 A Viscosity Iterative Algorithm Technique for Solving a General Equilibrium Problem System 2019-11-12T23:55:42+00:00 mahdi azhini m_azhini@ymail.com masoumeh cheraghi mcheraghi98@gmail.com hamid reza sahebi sahebi@aiau.ac.ir In the recent decade, a considerable number of Equilibrium problems have<br />been solved successfully based on the iteration methods. In this paper, we suggest a viscosity iterative algorithm for nonexpansive semigroup in the framework<br /> of Hilbert space. We prove that, the sequence generated by this algorithm under the certain conditions imposed on parameters<br /> strongly convergence to a common solution of general equilibrium problem system. Results presented in this paper extend and unify the previously known<br /> results announced by many other authors. Further, we give some numerical examples to justify our main results. 2019-12-30T00:00:00+00:00 Copyright (c) 2019 Tamkang Journal of Mathematics https://journals.math.tku.edu.tw/index.php/TKJM/article/view/2921 An ecological model involving nonlocal operator and reaction diffusion 2019-11-04T11:32:07+00:00 Saleh Shakeri salehshakeri@yahoo.com Armin Hadjian hadjian83@gmail.com <p>Using the method of sub-super solutions, we study the existence of<br />positive solutions for a class of infinite semipositone problems<br />involving nonlocal operator.</p> 2019-12-30T00:00:00+00:00 Copyright (c) https://journals.math.tku.edu.tw/index.php/TKJM/article/view/3006 Best approximation of conjugate of a function in generalized Zygmund 2019-11-04T11:31:36+00:00 Hare Krishna Nigam hknigam@cusb.ac.in <p>In this paper, we, for the very first time, study the error estimates of conjugate of a function ~g of g<br />(2-periodic) in generalized Zygmund class Y w<br />z (z 1); by Matix-Euler (TEq) product operator<br />of conjugate Fourier series. In fact, we establish two theorems on degree of approximation of a<br />function ~g of g (2-periodic) in generalized Zygmund class Y w<br />z (z 1); by Matix-Euler (TEq)<br />product means of its conjugate Fourier series. Our main theorem generalizes three previously<br />known results. Thus the results of [7], [8] and [26] become the particular cases of our Theorem<br />2.1. Some corollaries are also deduced from our main theorem.</p> 2019-12-30T00:00:00+00:00 Copyright (c) 2019 Tamkang Journal of Mathematics