EPH - International Journal of Mathematics and Statistics (ISSN: 2208-2212) https://ephjournal.com/index.php/ms <p><strong><span id="cell-5-name" class="gridCellContainer"><span class="label">EPH - International Journal of Mathematics and Statistics (ISSN: 2208-2212)&nbsp;</span></span></strong> publishes a wide range of high quality research articles in the field (but not limited to) given below: mathematics, applied mathematics, applied commutative algebra and algebraic geometry, mathematical biology, physics and engineering, theoretical bioinformatics, experimental mathematics, theoretical computer science, numerical computation etc. <br><span style="font-size: 1.5em;"><strong> <span style="text-shadow: #ff6600 0px 0px 3px;">Current Impact Factor: 2.387</span></strong></span></p> EPH Journal en-US EPH - International Journal of Mathematics and Statistics (ISSN: 2208-2212) 2208-2212 <ul> <li>All contributor(s) agree to transfer the copyright of this article to <strong>EPH Journal.</strong></li> <li><strong>EPH Journal</strong> will have all the rights to distribute, share, sell, modify this research article with proper reference of the contributors.&nbsp;</li> <li><strong>EPH Journal</strong> will have the right to edit or completely remove the published article on any misconduct happening.</li> </ul> ON THE CONVERGENCE OF SOME EIGENFUNCTION EXPANSIONS https://ephjournal.com/index.php/ms/article/view/1210 <p>In this paper we presented an extension of previous results given in the papers [15], [17],[19],</p> <p>the main idea of the proofs is: we write down the difference of the trigonometric kernel of the general expansion considered, and we have to estimate the resulting infinite sums. For the terms of these sums we used sharper and different estimates than in&nbsp; the previous papers in the literature(the most exact estimates where given by V.A.Il’n, I. Joó and V.Komornik).</p> MUZAHIM BANI TAHIR Copyright (c) 2019 EPH - International Journal of Mathematics and Statistics (ISSN: 2208-2212) http://creativecommons.org/licenses/by-nc-nd/4.0 2019-04-01 2019-04-01 5 3 01 09