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Research ArticleOpen accessEvery word in the titleq-Bernoulli’s EquationSalih Y. Arbab, Sami H. AltoumThe work shows the q-deformation of Bernoulli’s equation, q-derivative and q-calculus are used to form a q-analogous of Bernoulli’s equation. We introduce the theorem of q-Bernoulli’s equation. …American Journal of Applied Sciences, Vol. 17, Issue 1 · 4 Oct 2020 · 7,127 accessesView PDFCite
EditorialOpen accessEvery word in the titleOn Matrix Representation of Bernstein Polynomials for Triple SequencesArulmani Indumathi, Ayhan Esi, Nagarajan SubramanianIn this article, we give an overview of other commonly used basis for the triple sequence space of Bernstein polynomials, the Bernstein basis and put forward a matrix representation of Bernstein polynomials for the triple sequence space and its many useful properties. …Journal of Mathematics and Statistics, Vol. 16, Issue 1 · 21 Aug 2020 · 6,356 accessesView PDFCite
EditorialOpen accessEvery word in the titleFuzzy Bernstein-Stancu Operator of Rough I-Core of Triple SequencesAyhan Esi, Nagarajan Subramanian, M. Kemal OzdemirWe are going to present and investigate some fundamental characteristics of fuzzy Bernstein-Stancu polynomials of rough I-convergent of triple sequence spaces and at the same time examine the set of all fuzzy Bernstein Stancu polynomials of rough I-limits of a triple sequence spaces and also relation between analyticness and fuzzy Bernstein Stancu polynomials of rough I-core of a triple sequence … …Journal of Mathematics and Statistics, Vol. 15, Issue 1 · 17 Dec 2019 · 6,555 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleApplications of q-Umbral Calculus to Modified Apostol Type q-Bernoulli PolynomialsMehmet Acikgoz, Resul Ates, Ugur Duran, Serkan AraciThis article aims to identify the generating function of modified Apostol type q-Bernoulli polynomials. With the aid of this generating function, some properties of modified Apostol type q-Bernoulli polynomials are given. It is shown that aforementioned polynomials are q-Appell. Hence, we make use of these polynomials to have applications on q-Umbral calculus. From those applications, we derive some theorems in … …Journal of Mathematics and Statistics, Vol. 14, Issue 1 · 4 Jan 2018 · 8,182 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleA Computational Method Based on Bernstein Polynomials for Solving FredholmIntegro-Differential Equations under Mixed ConditionsMiloud Moussai, Lakhdar ChiterIn this study, a computational method for solving linear FredholmIntegro-Differential Equation (FIDE) of the first order under the mixed conditions using the Bernstein polynomials. First, we present some properties of these polynomials and the method is explained. These properties are then used to convert the integro-differential equation to a system of linear algebraic equations with unknown Bernstein coefficients. Using Galerkin … …Journal of Mathematics and Statistics, Vol. 13, Issue 1 · 27 Feb 2017 · 7,142 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleMarkov-Modulated Bernoulli-Based Performance Analysis for Gentle BLUE and BLUE Algorithms under Bursty and Correlated TrafficAdeeb Alsaaidah, Mohd Zalisham, Mohd Fadzli, Hussein Abdel-JaberThis paper presents a performance study for Gentle BLUE (GB) under the bursty and correlated properties of aggregated network traffic. The Bernoulli Process (BP) fails to represent the properties of aggregated correlated and bursty traffic, so instead of that, MMBP has been used. MMBP is A 2D discrete-time Markov chain modeling for GB algorithm with two traffic classes, each with … …Journal of Computer Science, Vol. 12, Issue 6 · 30 Jun 2016 · 8,077 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleCHARACTERIZATION OF MARKOV-BERNOULLI GEOMETRIC DISTRIBUTION RELATED TO RANDOM SUMSMohamed Gharib, Mahmoud M. Ramadan, Khaled A.H. Al-AjmiThe Markov-Bernoulli geometric distribution is obtained when a generalization, as a Markov process, of the independent Bernoulli sequence of random variables is introduced by considering the success probability changes with respect to the Markov chain. The resulting model is called the Markov- Bernoulli model and it has a wide variety of application fields. In this study, some characterizations are given … …Journal of Mathematics and Statistics, Vol. 10, Issue 2 · 31 Mar 2014 · 6,706 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleBinding Studies of Natural Product Berberine with DNA G-QuadruplexNagendra K. Sharma, Pooja Lunawat, Manjusha DixitProblem statement: The ends of chromosome had highly repetitive short G and C-rich sequences of DNA. These sequences were known to form stable tetraplex type of secondary structures which help to maintain gene integratity after cell divison. Approach: Any reagent which controls the random cell division would be useful to design anticancer drugs. Therefore a many natural and synthesized molecules … …American Journal of Biochemistry and Biotechnology, Vol. 7, Issue 3 · 22 Sep 2011 · 8,797 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleImproving the Performance of Multivariate Bernoulli Model based Documents Clustering Algorithms using Transformation TechniquesPerumal Pitchandi, Nedunchezhian RajuProblem statement: Document clustering is the most important areas of data mining since they are very much and currently the subject of significant global research since such areas strengthen the enterprises of web intelligence, web mining, web search engine design and so forth. Generative models based on the multivariate Bernoulli and multinomial distributions have been widely used for text classification. … …Journal of Computer Science, Vol. 7, Issue 5 · 7 May 2011 · 7,281 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleA Fast Hybrid Algorithm Approach for the Exact String Matching Problem Via Berry Ravindran and Alpha Skip Search AlgorithmsAbdulwahab Ali AlmazroiProblem statement: String matching algorithm had been an essential means for searching biological sequence database. With the constant expansion in scientific data such as DNA and Protein; the development of enhanced algorithms have even become more critical as the major concern had always been how to raise the performances of these search algorithms to meet challenges of scientific information. Approach: … …Journal of Computer Science, Vol. 7, Issue 5 · 7 May 2011 · 7,398 accessesView PDFCite