JOURNAL OF ADVANCES IN MATHEMATICS Interested in submitting to this journal? We recommend that you review the About the Journal page for the journal's section policies, as well as the Author Guidelines. Authors need to register with the journal prior to submitting or, if already registered, can simply log in and begin the five-step process. en-US <p>Authors retain the copyright of their manuscripts, and all Open Access articles are distributed under the terms of the&nbsp;<a href="">Creative Commons Attribution License</a>, which permits unrestricted use, distribution, and reproduction in any medium, provided that the original work is properly cited.</p> <p>The use of general descriptive names, trade names, trademarks, and so forth in this publication, even if not specifically identified, does not imply that these names are not protected by the relevant laws and regulations. The submitting author is responsible for securing any permissions needed for the reuse of copyrighted materials included in the manuscript.</p> <p>While the advice and information in this journal are believed to be true and accurate on the date of its going to press, neither the authors, the editors, nor the publisher can accept any legal responsibility for any errors or omissions that may be made. The publisher makes no warranty, express or implied, with respect to the material contained herein.</p> (Chief Editor) (John Miller) Wed, 28 Feb 2018 08:42:15 +0000 OJS 60 Hermite collocation method for solving Hammerstein integral equations <p>In this paper, we are presenting Hermite collocation method to solve numer- ically the Fredholm-Volterra-Hammerstein integral equations. We have clearly presented a theory to …nd ordinary derivatives. This method is based on replace- ment of the unknown function by truncated series of well known Hermite expan-sion of functions. The proposed method converts the equation to matrix equation which corresponding to system of algebraic equations with Hermite coe¢ cients. Thus, by solving the matrix equation, Hermite coe¢ cients are obtained. Some numerical examples are included to demonstrate the validity and applicability of the proposed technique.</p> Yasser Amer ##submission.copyrightStatement## Mon, 08 Jan 2018 00:00:00 +0000 On norms of composition operators on weighted hardy spaces <p>&nbsp;The computation of composition operator on Hardy spaces is very hard. In this paper we propose&nbsp; a &nbsp;norm of a bounded composition operator on weighted Hardy spaces H<sup>2</sup>(b)&nbsp;induced by a disc &nbsp;automorphism by embedding &nbsp;the classical Hardy space . The estimate obtained is accurate in the sense that it provides the exact norm for particular instances of the sequence b. As an application of our results, an estimate for the norm of any bounded composition operator on&nbsp;H<sup>2</sup>(b) is obtained.</p> Amenah Essa Shammaky, Sumitra Dalal ##submission.copyrightStatement## Thu, 11 Jan 2018 00:00:00 +0000 Moments of order statistics from nonidentically Distributed Lomax, exponential Lomax and exponential Pareto Variables <p>In this paper, the probability density function and the cumulative distribution function of the rth order statistic arising from independent nonidentically distributed (INID) Lomax, exponential Lomax and exponential Pareto variables are presented. The moments of order statistics from INID Lomax, exponential lomax and exponential Pareto were derived using the technique established by Barakat and Abdelkader. Also, numerical examples are given.</p> Nasr Ibrahim Rashwan ##submission.copyrightStatement## Tue, 16 Jan 2018 00:00:00 +0000 Some new formulas on the K-Fibonacci numbers <p>In this paper, we find some formulas for finding some special sums of the k-Fibonacci or the k-Lucas numbers. We find also some formulas that relate the k-Fibonacci or the k--Lucas numbers to some sums of these numbers..</p> Sergio Falcon ##submission.copyrightStatement## Thu, 01 Feb 2018 00:00:00 +0000 Functional moments estimators analysis by the Monte-Carlo method for model of mixture with varying concentrations <p>The functional moments estimation by the sample from the mixture with varying concentrations is studied. The problem of efficiency the simple linear estimator with fixed weight against the adaptive or improved estimators with random weight is considered. By the Monte-Carlo method it is shown that simple linear estimator is better for small sample sizes, but for large samples the adaptive and improved estimators are more efficient.</p> Kubaychuk Oksana ##submission.copyrightStatement## Tue, 27 Feb 2018 00:00:00 +0000 Argument estimates of certain classes of P-Valent meromorphic functions involving certain operator <p>In this paper, by making use of subordination , we investigate some inclusion relations and argument properties of certain classes of p-valent meromorphic functions involving&nbsp;certain operator.</p> S. M. Madian ##submission.copyrightStatement## Thu, 22 Feb 2018 00:00:00 +0000 Stability of Fibonacci Functional Equation <p>In this paper, we solve the Fibonacci functional equation, f(x)=f(x-1)+f(x-2) and discuss its generalized Hyers-Ulam-Rassias stability in Banach spaces and stability in Fuzzy normed space.</p> Sushma Lather, Sandeep Singh ##submission.copyrightStatement## Thu, 01 Mar 2018 00:00:00 +0000 HYERS-ULAM STABILITY OF FIRST ORDER LINEAR DIFFERENCE OPERATORS ON BANACH SPACE <p>In this work, the Hyers-Ulam stability of first order linear difference operator T<sub>P</sub> defined by</p> <p>(T<sub>p</sub>u)(n) = ∆u(n) - p(n)u(n);</p> <p>is studied on the Banach space X = l<sub>∞</sub>, where p(n) is a sequence of reals.</p> Arun Kumar Tripathy, Pragnya Senapati ##submission.copyrightStatement## Sat, 10 Mar 2018 00:00:00 +0000 Inverse System in The Category of Intuitionistic Fuzzy Soft Modules <p>This paper begins with the basic concepts of soft module. Later, we introduce inverse system in the category of intutionistic fuzzy soft modules and prove that its limit exists in this category. Generally, limit of inverse system of exact sequences of intutionistic fuzzy soft modules is not exact. Then we define the notion &nbsp;which is first derived functor of the inverse limit functor. Finally, using methods of homology algebra, we prove that the inverse system limit of exact sequence of intutionistic fuzzy soft modules is exact.</p> S. E. Abdullayev, Sadi Bayramov ##submission.copyrightStatement## Fri, 16 Mar 2018 09:03:02 +0000