The Approximation of Weighted Hölder Functions by Fourier-Jacobi Polynomials to the Singular Sturm-Liouville Operator

Ahmed H. Kamil

doi:10.21123/bsj.2022.6128

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Publication Date

Thu Dec 01 2022

Journal Name

Baghdad Science Journal

Volume

19

Issue Number

6

DOI

10.21123/bsj.2022.6128

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The Approximation of Weighted Hölder Functions by Fourier-Jacobi Polynomials to the Singular Sturm-Liouville Operator

Best approximation

Jacobi Polynomials

Moduli of smoothness

Sturm-Liouville equation

Weighted Ho ̈lder spaces

Habeeb A. Aal-Rkhais

Ahmed H. Kamil

Khalid Fanoukh Al Oweidi

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In this work, a weighted H lder function that approximates a Jacobi polynomial which solves the second order singular Sturm-Liouville equation is discussed. This is generally equivalent to the Jacobean translations and the moduli of smoothness. This paper aims to focus on improving methods of approximation and finding the upper and lower estimates for the degree of approximation in weighted H lder spaces by modifying the modulus of continuity and smoothness. Moreover, some properties for the moduli of smoothness with direct and inverse results are considered.

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Publication Date

Sun Jan 01 2023

Journal Name

Aip Conference Proceedings

The optical properties of mawsonite Cu6Fe2SNS8 [CFTS] thin films effected by red laser irradiation deposited via semi-computerized spray pyrolysis technique

Bahaa T.

Mushtaq Talib

Nathera

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(1)

Publication Date

Fri Dec 28 2018

Journal Name

Advances In Language And Literary Studies

Simplification Strategies in the Production of English Word-final Obstruent Clusters by Iraqi EFL College Students from A Markedness Theory Perspective

English

Arabic

EFL

Markedness

Obstruents

Phonotactics

Zainab

Mahdi

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This study investigates the phonotactics of English obstruent clusters in the word-final position from a markedness theory perspective among Iraqi EFL College Students whose native language, Arabic, prefers only two-member word-final obstruent cluster as a maximum. The markedness of clusters is measured depending on Iraqi EFL College Students’ utilization of the simplification strategies. This study tries to answer whether or not word-final obstruent clusters are marked or unmarked for Iraqi EFL College Students, and whether or not the markedness of the obstruent cluster increases as to its length. In order to answer these questions, a test has been distributed among 60 Iraqi EFL Fourth-Year College students, Department of English, Colleg

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Publication Date

Sat Dec 02 2017

Journal Name

Al-khwarizmi Engineering Journal

Direction Finding Using GHA Neural Networks

Keywords: Direction of arrival (DOA)

Generalized Hebbian Algorithm (GHA)

Principal component analysis (PCA)

Capon.

N. H.

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This paper adapted the neural network for the estimating of the direction of arrival (DOA). It uses an unsupervised adaptive neural network with GHA algorithm to extract the principal components that in turn, are used by Capon method to estimate the DOA, where by the PCA neural network we take signal subspace only and use it in Capon (i.e. we will ignore the noise subspace, and take the signal subspace only).

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Publication Date

Sat Apr 01 2023

Journal Name

Alexandria Engineering Journal

Employing Sisko non-Newtonian model to investigate the thermal behavior of blood flow in a stenosis artery: Effects of heat flux, different severities of stenosis, and different radii of the artery

MA

Uday

Zahraa

Farag

Hafidh l.

Ali

Muataz

Salema K.

Reem

Iman

Majid

Maboud

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Publication Date

Mon Jun 28 2021

Journal Name

Journal Of The College Of Education For Women

The Sources of Organizational Power Prevailing among Academic Leaders at University of Tabuk and its Relationship to Institutional Creativity from the Viewpoint of Faculty Members: شروق بنت عبد الخالق الأسمري , علي بن حسن القرني

academic leadership

institutional innovation

organizational strength

University of Tabuk

Shurooq Abdul-Khaleq

Ali Hasan

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This study aims to examine the sources of organizational power prevailing among the academic leaders at the University of Tabuk from the faculty members’ viewpoint. The purposes behind such an aim are: to reveal the level of administrative and technical institutional creativity, the nature of the relationship between the reality of organizational power and the level of institutional creativity, and to disclose statistically the significant differences between the averages of faculty members’ responses attributed to the demographic variables (gender, years of experience, academic degree). The study used the descriptive approach, both survey and correlational. A questionnaire was used to collect data from a simple random sample o

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Publication Date

Sat May 01 2021

Journal Name

Journal Of Physics: Conference Series

The effect of the Doping with Cobalt Transition Metal on the Dielectric and Structural Properties of Fe0.5CoxMg0.95-xO Nanoparticles Synthesized by Sol-Gel Assisted Auto-Combustion

Tagreed M.

Omar A.

Imad H.

T.A.

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AbstractThe compound Fe0.5CoxMg0.95-xO where (x= 0.025, 0.05, 0.075, 0.1) was prepared via the sol-gel technique. The crystalline nature of magnesium oxide was studied by X-ray powder diffraction (XRD) analysis, and the size of the sample crystals, ranging between (16.91-19.62nm), increased, while the lattice constant within the band (0.5337-0.4738 nm) decreased with increasing the cobalt concentration. The morphology of the specimens was studied by scanning electron microscopy (SEM) which shows images forming spherical granules in addition to the presence of interconnected chips. The presence of the elements involved in the super ... Show More

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Publication Date

Fri Jul 29 2022

Journal Name

Journal For Vascular Ultrasound

A Comparative Study of the Right and Left Carotid Arteries in Relation to Age for Patients With Diabetes and Hypertension

Introduction: Age

hypertension

and diabetes can cause significant alterations in arterial structure and function

including changes in lumen diameter (LD)

intimal-medial thickness (IMT)

flow velocities

and arterial compliance. These are also considered risk markers of atherosclerosis and cerebrovascular disease. A difference between right and left carotid artery blood flow and IMT has been reported by some researchers

and a difference in the incidence of nonlacunar stroke has been reported between the right and left brain hemispheres. The aim of this study was to determine whether there are differences between the right and left common carotid arteries and internal carotid arteries in patients with hypertension and diabetes for 2 age groups. Methods: We studied 250 patients with both diabetes and hypertension. Patients were divided into 2 age groups with the old age group being 56 to 75 years and the young age group 35 to 55 years. The bilateral common carotid and internal carotid arteries were evaluated with B-mode ultrasound and Doppler examinations. The LD and IMT were measured for both common carotid arteries

and spectral waveform parameters and indices were recorded for both internal carotid arteries. Results: The difference in LD between the left and right common carotid arteries for the old age group was 11.64% and for the young age group was 6.42%

with significant P values of <.05 for both age groups. The difference in IMT between the left and right common carotid arteries was 18.27% in the old age group compared with 15.38% in the young age group

with significant P values of <.05. There was a difference in peak systolic velocity between the left and right internal carotid arteries of 4.85% in the old age group which was not significant

compared with 14.28% in the young age group with a significant P value <.05

whereas the difference in end-diastolic velocity between the left and right internal carotid arteries was not significant for both age groups. Differences between the right and left internal carotid arteries for resistive index

pulsatility index

and pressure gradient were significant only in the young age group. Conclusion: We found significant differences between the right and left common carotid and internal carotid arteries in patients with diabetes and hypertension which were more prominent in the young age group. Values for common carotid IMT and LD were significantly higher in the left common carotid artery versus the right common carotid artery in both age groups. Differences between the 2 carotid sides may be attributed to anatomic variations in the common carotid artery origins which lead to differences in stress between the 2 sides

Ahmed Abduljabar

Samar I.

Anmar Z

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Introduction:

Age, hypertension, and diabetes can cause significant alterations in arterial structure and function, including changes in lumen diameter (LD), intimal-medial thickness (IMT), flow velocities, and arterial compliance. These are also considered risk markers of atherosclerosis and cerebrovascular disease. A difference between right and left carotid artery blood flow and IMT has been reported by some researchers, and a difference in the incidence of nonlacunar stroke has been reported between the right and left brain hemispheres. The aim of this study was to determine whether there are differences between the right and left common carotid arteries and internal carotid arteries in patient

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Publication Date

Sun Jan 27 2019

Journal Name

Journal Of Accounting And Financial Studies ( Jafs )

Waste as a resource of economic resources: A case study using environmentalthe index MIP

Waste

MIP

Preservation of the environment

Resource depletion

صدى مدحت

أ.م.د. فيحاء عبدالله

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Due to increased consumption of resources, especially energy it was necessary to find alternatives characterized by the same quality as well as being of less expensive, and most important of these alternatives are characterized by waste and the fact that humancannot stop consumption. So we have consideredwaste as an alternative and cheap economic resources and by using environmental index the MIP (input materials per unit ,unit / service) is based on the grounds that the product is not the end of itselfit is a product to meet the need of a product or service, awarded a resource input and output within the five basic elements are the raw materials is ecological, Raw materials ecological, water, air and soil erosion for a

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Publication Date

Wed Jun 10 2009

Journal Name

Iraqi Journal Of Laser

Simulation of passively Q-switched rate equation using saturable crystal Dy +2: CaF2 with ruby laser

A-M. K.

Ali A-K.

K. H.

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The simulation of passively Q-switching is four non – linear first order differential equations. The optimization of passively Q-switching simulation was carried out using the constrained Rosenbrock technique. The maximization option in this technique was utilized to the fourth equation as an objective function; the parameters, γa, γc and β as were dealt with as decision variables. A FORTRAN program was written to determine the optimum values of the decision variables through the simulation of the four coupled equations, for ruby laser Q–switched by Dy +2: CaF2.For different Dy +2:CaF2 molecules number, the values of decision variables was predicted using our written program. The relaxation time of Dy +2: CaF2, used with ruby was

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Publication Date

Thu Dec 31 2020

Journal Name

Journal Of Accounting And Financial Studies ( Jafs )

Electronic payment methods used for salary resettlement and its impact on improving the mental image of customers: an applied study of the opinions of a sample of (private) commercial banks 'customers contracting with the Ministry of Higher Education and Scientific Research to localize employees' salaries

electronic banking (concept

media

and forms)

localization of salaries (the concept and its reasons for transferring money)

the mental image of customers

م.م. فاضل عباس

م.م. سندس علي

م.م. محمد حسن

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The research seeks to identify the contemporary events that face the use of electronic payment methods to localize the salaries of state employees and its impact in enhancing the mental image of customers, and to achieve this purpose from the fact that a questionnaire was designed and distributed to an optional sample of (31) individual customers (employees) dealing With the researched private banks, it has been analyzed and reached a number of conclusions and recommendations, the most prominent of which is the lack of modernity of electronic payment methods by customers, which is reflected in the mental image of customers and the achievement of their satisfaction, in the Emiratization project for salaries needs an advanced leade

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