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="/templates/images/201709_ESCI_toTKJM.jpg" alt="TKJM in ESCI" width="469" height="220" /><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 Mathematics0049-2930A coupled hybrid fixed point theorem involving the sum of two coupled operators in a partially ordered Banach space with applications
http://journals.math.tku.edu.tw/index.php/TKJM/article/view/2502
In this paper we prove a coupled hybrid fixed point theorem involving the sum of two coupled operators in a partially ordered Banach space and apply to a pair of nonlinear second order coupled linearly perturbed hybrid differential equations with the periodic boundary conditions for proving the existence and approximation of coupled solutions under certain mixed hybrid conditions. The abstract existence result of the coupled periodic boundary value problems is also illustrated by furnishing a numerical example.Bapurao Chandrabahan Dhage2018-03-302018-03-3050Perturbed smoothing approach to the lower order exact penalty functions for nonlinear inequality constrained optimization
http://journals.math.tku.edu.tw/index.php/TKJM/article/view/2625
In this paper, we propose two new smoothing approximation to the lower order exact penalty functions for nonlinear optimization problems with inequality constraints. Error estimations between smoothed penalty function and nonsmooth penalty function are investigated. By using these new smooth penalty functions, a nonlinear optimization problem with inequality constraints is converted into a sequence of minimizations of continuously differentiable function. Then based on each of the smoothed penalty functions, we develop an algorithm respectively to finding an approximate optimal solution of the original constrained optimization problem and prove the convergence of the proposed algorithms. The effectiveness of the smoothed penalty functions is illustrated through three examples, which show that the algorithm seems efficient.Binh Thanh NguyenYanqin BaiXin YanTouna Yang2018-03-302018-03-3050On factor relations between weighted and Nörlund means
http://journals.math.tku.edu.tw/index.php/TKJM/article/view/2704
By $\left( X,Y\right) ,$ we denote the set of all sequences $\epsilon =\left( \epsilon _{n}\right) $ such that $\Sigma \epsilon _{n}a_{n}$ is summable $Y$ whenever $\Sigma a_{n}$ is summable $X,$ where $X$ and $Y$ are two summability methods. In this study, we get necessary and sufficient conditions for $\epsilon \in \left( \left\vert N,q_{n},u_{n}\right\vert _{k},\left\vert \bar{N},p_{n}\right\vert \right) $ and $\epsilon \in \left( \left\vert \bar{N},p_{n}\right\vert ,\left\vert N,q_{n},u_{n}\right\vert _{k}\right) $, $k\geq 1,$ using functional analytic tecniques, where $% \left\vert \bar{N},p_{n}\right\vert $ and $\left\vert N,q_{n},u_{n}\right\vert _{k}$ are absolute weighted and N\"{o}rlund summability methods, respectively, \cite{1}, \cite{5}. Thus, in the special case, some well known results are also deduced.G. Canan Hazar GüleçMehmet Ali Sarıgöl2018-03-302018-03-3050An inverse problem for the non-self-adjoint matrix Sturm-Liouville operator
http://journals.math.tku.edu.tw/index.php/TKJM/article/view/2735
The inverse problem of spectral analysis for the non-self-adjoint matrix Sturm-Liouville operator on a finite interval is investigated. We study properties of the spectral characteristics for the considered operator, and provide necessary and sufficient conditions for the solvability of the inverse problem. Our approach is based on the constructive solution of the inverse problem by the method of spectral mappings. The characterization of the spectral data in the self-adjoint case is given as a corollary of the main result.Natalia Pavlovna Bondarenko2018-03-302018-03-3050Continuous random variables with Hadamard fractional integral
http://journals.math.tku.edu.tw/index.php/TKJM/article/view/2763
In this paper, we establish some new inequalities of expectation and variance of continuous random variables by using the Hadamard fractional integral operator.Khellaf Ould MelhaVaijanath Laxmanrao Chinchane2018-03-302018-03-3050New f-divergnce and Jensen-Ostrowsk's type inequalities
http://journals.math.tku.edu.tw/index.php/TKJM/article/view/2778
In this paper we derive new information inequalities of Jensen-Ostrowski type, by considering two Jensen-Ostrowski type inequalities, new $f$-divergence and\\ Chi-divergences. The special cases of these information inequalities are established as applications of new $f$-divergence and its particular instances.Ram Naresh SaraswatAjay Tak2018-03-302018-03-3050