Strongly (E,F)-convexity with applications to optimization problems

Ammar A. Enad; Saba Naser Majeed

doi:10.29304/jqcm.2019.11.3.597

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Publication Date

Thu Sep 05 2019

Journal Name

Journal Of Al-qadisiyah For Computer Science And Mathematics

Volume

11

Issue Number

3

DOI

10.29304/jqcm.2019.11.3.597

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Strongly (E,F)-convexity with applications to optimization problems

strongly E-convex sets

strongly E-convex functions

strongly (E

F)-convex sets

strongly (E

F)-convex functions

Ammar A. Enad

Saba Naser Majeed

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In this paper, a new class of nonconvex sets and functions called strongly -convex sets and strongly -convex functions are introduced. This class is considered as a natural extension of strongly -convex sets and functions introduced in the literature. Some basic and differentiability properties related to strongly -convex functions are discussed. As an application to optimization problems, some optimality properties of constrained optimization problems are proved. In these optimization problems, either the objective function or the inequality constraints functions are strongly -convex. 

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Publication Date

Mon Mar 31 2025

Journal Name

Iraqi Statisticians Journal

Hypothesis Testing for Non-Normal Multiple Compact Regression Model

Multiple compact regression model

Bayesian Approach

Bayes Factor

Generalized multivariate transmuted Bessel distribution

Kernel functions

Jaundice percentage in the blood component data.

Ons Edin

Noor Saleem

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Generalized multivariate transmuted Bessel distribution belongs to the family of probability distributions with a symmetric heavy tail. It is considered a mixed continuous probability distribution. It is the result of mixing the multivariate Gaussian mixture distribution with the generalized inverse normal distribution. On this basis, the paper will study a multiple compact regression model when the random error follows a generalized multivariate transmuted Bessel distribution. Assuming that the shape parameters are known, the parameters of the multiple compact regression model will be estimated using the maximum likelihood method and Bayesian approach depending on non-informative prior information. In addition, the Bayes factor was used

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Publication Date

Wed Nov 30 2016

Journal Name

International Business Management

ESTIMATE OF THE MULTIPLIER EFFECT OF THE MONETARY AND FISCAL POLICY ON NON-OIL GROSS DOMESTIC PRODUCT IN THE IRAQI ECONOMY FOR THE PERIOD OF 1990-2014

The monetary policy is a vital method used in implementing monetary stability through: the management of income and adjustment of the price (monetary targets) in order to promote stability and growth of real output (non-cash goals)

the tool of interest rate and direct investment guides or movement towards the desired destination

and supervisory instruments of monetary policy in both quantitative and qualitative. The latter is very important as a standard compass to investigate the purposes of the movement monetary policy in the economy. The public and businesses were given monetary policy signals by those tools. In fiscal policy

there are specific techniques to follow to do the spending and collection of revenue. This is done in order to actualize the adopted goals by the state and the relative closeness between monetary policy and fiscal policy objectives that requires relationship between two policies. Also

in order to achieve the goal of stability and promote economic growth within the tax multiplier. Multiplier of government spending is aiming at the goal of stability automatically and the allocation or distribution of economic stability through a basic introduction of the aim and objective of allocating resources to the required fields. In this vein

the objectives of the fiscal policy can be brought up spontaneously with the provisions of side and control effects which are in consonant with the outcome received in terms of economic cycle. The research showed that the impact of monetary policy in Iraq is insignificant on non-oil gross domestic product through a multiplier of monetary policy (K) and the flexibility of non-oil gross domestic product for money supply (E). Similarly

the impact of fiscal policy on non-oil gross domestic product through the fiscal policy multiplier (K) and the flexibility of non-oil gross domestic product for the government to spend are insignificant

أ.د. باسم

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The monetary policy is a vital method used in implementing monetary stability through: the management of income and adjustment of the price (monetary targets) in order to promote stability and growth of real output (non-cash goals); the tool of interest rate and direct investment guides or movement towards the desired destination; and supervisory instruments of monetary policy in both quantitative and qualitative. The latter is very important as a standard compass to investigate the purposes of the movement monetary policy in the economy. The public and businesses were given monetary policy signals by those tools. In fiscal policy, there are specific techniques to follow to do the spending and collection of revenue. This is done in order to

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Publication Date

Sat Sep 01 2018

Journal Name

Polyhedron

Novel dichloro (bis {2-[1-(4-methylphenyl)-1H-1, 2, 3-triazol-4-yl-κN3] pyridine-κN}) metal (II) coordination compounds of seven transition metals (Mn, Fe, Co, Ni, Cu, Zn and Cd)

The 1

3-dipolar cycloaddition “click” reaction between an azide and an alkyne to give a 1

2

3-triazole was reported by Huisgen in 1961 [1]. In 2002 the Copper(I)-catalyzed Azide-Alkyne Cycloaddition (CuAAC) to prepare a 1

2

3-triazole was reported [2]

[3]. The existence of relatively basic nitrogen atoms in the 1

2

3-triazole rings

and the possibility of introducing additional donor groups in the substituents (Fig. 1)

made the CuAAC “click” reaction an attractive method to prepare differently substituted 1

2

3-triazoles. These compounds have been used as ligands to coordinate to various metal ions that display a range of applications such as in electrochemical and photochemical studies

in supramolecular chemistry

magnetism

metal-ion sensing and catalysis [4]. The reasons for the success of the “click” reaction

is that it is easy to carry out and is widely applicable. It is not affected by a variety of functional groups

and can be carried out with a variety of Cu(I) catalysts and solvents

including aqueous conditions. The Cu(I) catalysts overcome the high activation energy barrier of the non-catalyzed Huisgen reaction by changing the mechanism of the reaction. A large variety of copper catalysts can be used for the CuAAC reaction

on condition that the maximum concentration of Cu(I) species is generated during the reaction. The pre-catalyst can be a Cu(II) salt (usually CuSO4) together with a reducing agent (often sodium ascorbate) or a Cu(I) compound in the presence of a base or amine ligand and a reducing agent to prevent oxidation to Cu(II). Some strong oxidising cupric salts or complexes such as Cu(OAc)2 also work. The solvent is very flexible from organic to aqueous

with the most commonly used combination water + an alcohol (t-BuOH

MeOH or EtOH). The key role of the solvent or solvent mixture is to solubilize the substrates and Cu(I) catalyst in order to ensure rapid reactions. Such aqueous conditions are very useful for biochemical conjugations

as well as for organic syntheses. We recently reported on the synthesis of a series of differently substituted 1

2

3-triazole chromophores

the substituted 2-(1-phenyl-1H-1

2

3-triazol-4-yl)pyridine ligands [5]

see Fig. 2 middle

with substituents R = H (L1)

CH3 (L2)

OCH3 (L3)

COOH

F

Cl

CN

CF3

O(CH2)3CH3 and N(CH3)2. These versatile ligands were found to coordinate to various first row transition metals

such as manganese

cobalt and nickel [6]. Here we extend the series to include more first row transition metal(II) coordination compounds

iron

copper and zinc

as well as a second row transition metal(II) coordination compound

cadmium

containing the 2-(1-(4-methyl-phenyl)-1H-1

2

3-triazol-1-yl)pyridine chromophore (Fig. 2 right with R = CH3). This series of seven novel coordination compounds is the first series of pyridyl-triazole based transition metal coordination compounds where seven different transition metals are coordinated to the same 1

2

3-triazole chromophore

namely 2-(1-(4-methyl-phenyl)-1H-1

2

3-triazol-1-yl)pyridine.

Kinaan M

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