JOURNAL OF ADVANCES IN MATHEMATICS 2023-09-05T05:54:40+00:00 Editorial Office Open Journal Systems Exponential Fit to Food Degradation Experiment 2023-09-05T05:50:42+00:00 T.X. Truedell A.L. Moore W.T. Tekalign A. Atena <p>Students in the Principles of Biology I course use a lot of course time preparing solutions each week in their course<br />based research experience. This experiment was designed to determine the degradation rates of prepared solutions of<br />various plant-based foods (i.e., Napa cabbage, rice, peanuts, and apple) under refrigeration as a means of reducing the<br />amount of time for solution preparation. Scaling from the original lab procedures, approximately sixty milliliters of<br />filtrate were prepared from the listed foods and testing was conducted on a thrice-weekly schedule. The concentration<br />of proteins and carbohydrates were measured using the Bradford’s assay and Benedict’s test, respectively. The data<br />revealed a noticeable trend in degradation in protein for all the samples. The rice sample proved to be an outlier with<br />a marked increase in reducing sugars, while the other samples gradually decreased.</p> 2023-10-01T00:00:00+00:00 Copyright (c) 2023 T.X. Truedell, A.L. Moore, W.T. Tekalign, A. Atena Research and Application of Digital Classroom Teaching Development in the Post-Pandemic Era 2023-09-05T05:54:40+00:00 Tongxing Li Yongfeng Zhang Xiaoyu Tan <p><span style="font-weight: 400;">With the continuous development of information technology, digital classrooms are becoming more adapted to the demands of talent cultivation in the modern era. The digital classroom teaching model is a reform of traditional teaching methods, and constructing a digital classroom allows for more flexible organization of instructional design, fostering students' creative thinking and enhancing their overall qualities. Seizing the opportunity for the development of applied universities, our school is constructing a locally distinctive path of information technology. This article takes higher mathematics as an example to elaborate on the practical application experience of digital classroom teaching development. In conclusion, this article summarizes the shortcomings in the process of digital classroom construction, which holds certain reference value and significance for future work.</span></p> 2023-09-25T00:00:00+00:00 Copyright (c) 2023 Tongxing Li, Yongfeng Zhang, Xiaoyu Tan THE FEKETE -SZEGO ̈ PROBLEM OF ANALYTIC FUNCTIONS BASED ON THE DEFERENtIAL OPERTOR AND CERTAIN SUBCLASSES 2023-07-31T05:58:08+00:00 LY VAN AN <p>In this paper I use the operators D<sup>m</sup><sub>β,η</sub>(η, φ)f, S<sub>m</sub>(d, β, η) and C<sub>m(</sub>d, β, η).To establish |a<sub>3</sub>−μa<sup>2</sup><sub>2</sub> | -functional inequalities for the Fekete-Szeg ̈o problem. That’s my main result.</p> 2023-08-17T00:00:00+00:00 Copyright (c) 2023 văn an lý Oscillatory Behavior of Higher Order Nonlinear Mixed Type Difference Equations With a Nonlinear Neutral Term 2023-07-02T21:27:58+00:00 Ali Çakır ozkan ocalan Mustafa Kemal Yıldız <p>This paper discusses higher order nonlinear neutral mixed type difference equations of the form</p> <p>Δ^{m}[x(n)+p(n)h(x(σ(n)))]+q(n)f(x(τ(n)))=0, n=0,1,2,…,</p> <p>where (p(n)), (q(n)) are sequences of nonnegative real numbers, h, f:R→R are continuous and nondecreasing with uh(u)&gt;0, uf(u)&gt;0 for all u≠0, and (σ(n)) and (τ(n)) are sequences of integers such that</p> <p>lim_{n→∞}τ(n)=lim_{n→∞}σ(n)=∞.</p> <p>In general, we will examine the oscillatory behavior of the solutions for the above equation. Especially, when m is even, the result obtained here complements studies related to the oscillation of the above equation. In addition, examples showing the accuracy of the results are given.</p> 2023-07-27T00:00:00+00:00 Copyright (c) 2023 Ali Çakır, ozkan ocalan, Mustafa Kemal Yıldız Some Statistical Approximation based on Post-Widder operators 2023-05-20T06:38:50+00:00 prerna Sharma Diwaker Sharma <p>In the present paper, we study the convergence of real and modified Post-Widder operators in C, which is known as the extension of approximation of these operators from the real axis in the complex plane. In this direction, we also investigate error estimation in simultaneous approximation and a Voronovskaya-type asymptotic formula.&nbsp;</p> 2023-06-26T00:00:00+00:00 Copyright (c) 2023 prerna Sharma, Diwaker Sharma Quasi Triple Operator on Hilbert Space 2023-02-16T11:35:42+00:00 Dr.Alaa Hussein Mohammed <p><span style="font-weight: 400;">In this pepar we given a newclass of operators onHilbert space called</span><span style="font-weight: 400;">quasi triple operator</span><span style="font-weight: 400;">and</span> <span style="font-weight: 400;">-Quasi Triple Operator </span><span style="font-weight: 400;">. We study the operator and introdus some properties ofit </span></p> 2023-03-06T00:00:00+00:00 Copyright (c) 2023 Dr.Alaa Hussein Mohammed Applications of the ideals in the measure theory and integration 2023-02-02T13:12:30+00:00 Doris DODA Sokol SHURDHI <p><span style="font-weight: 400;">In this paper, we will represent some applications to various problems of mass theory and integration, by using the concept of local convergences and exhaustive sequences. We will continue the idea of point-wise I -convergence, Ideal exhaustiveness that was introduced by </span><span style="font-weight: 400;">Komisarsk</span><span style="font-weight: 400;">i [3], and </span><span style="font-weight: 400;">Kostyrko, Sal´at and Wilczy´nski</span><span style="font-weight: 400;"> [4]. The equi-integrable introduced in Bohner-type ideal integrals and a new study on the application of symmetric differences have been presented in the theory of mass and continuous functions, continuing the results of </span><span style="font-weight: 400;">Boccuto, Das, Dimitriou, Papanastassiou </span><span style="font-weight: 400;">[2].</span><span style="font-weight: 400;"> </span><span style="font-weight: 400;"><br /></span></p> 2023-02-28T00:00:00+00:00 Copyright (c) 2023 Doris DODA, Sokol SHURDHI Use of Mixed Operator Method to a fractional Hadamard Dirichlet boundary value problem 2022-11-28T14:12:45+00:00 Lakhdar Ragoub <p>The purpose of this paper is to deal with the following nonlinear Hadamard fractional boundary value problem</p> <p><sup>H</sup>D<sup>α</sup><sub>1</sub>+ u(t) + f(t, u(t), u(t)) + g(t, u(t)) = 0,<br />1 &lt; t &lt; e, 1 &lt; α ≤ 2,<br />u(1) = u(e) = 0,</p> <p>where <sup>H</sup>D<sup>α</sup> <sub>1</sub>+ is the Hadamard fractional derivative operator. Using the mixed monotone operator method, we prove an existence and uniqueness result for this mixed fractional Hadamard boundary value problem. As an application of this result, we give one example to establish an existence and uniqueness of a positive solution.</p> <p> </p> 2023-02-08T00:00:00+00:00 Copyright (c) 2023 Lakhdar Ragoub