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European Journal of Mathematical Analysis
ISSN 2733-3957 · Ada Academica · 76 articles in the index
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Journal Article
Hybrid Inertial Iterative Method for Fixed point, Variational Inequality and Generalized Mixed Equilibrium Problems in Banach Space
In this paper, we introduced a hybrid inertial iterative method which converges strongly to a common element of solution of generalized mixed equilibrium, variational inequality and fixed point problems in a two uniformly smooth and uniformly convex Banach space. Our hybrid inertial iterative…
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Journal Article
A New Study on Generalized Reverse Derivations of Semi-prime Ring
The aim of this paper is to extend the ideas from Generalized reverse derivation to Generalized (α, β)-reverse derivations on Semi-prime ring. We prove that, if 0≠d be reverse derivation in R and a Generalized (α, β)-reverse derivation g, then g is β-strong commutative preserved. Next we can prove…
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Journal Article
Tensorial Simpson 1/8 Type Inequalities for Convex Functions of Selfadjoint Operators in Hilbert Space
Several Simpson 1 8 tensorial type inequalities for selfadjoint operators have been obtained with variation depending on the conditions imposed on the function f ||1/8[f(A)⊗1 + 6f(A⊗1 + 1⊗B/2) + 1⊗f(B)] − ∫01f(λ1⊗B + (1−λ)A⊗1)dλ|| ≤ 5||1⊗B − A⊗1||/32 ||f’||I,+∞.
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Journal Article
A Unified Kantorovich-type Convergence Analysis of Newton-like Methods for Solving Generalized Equations under the Aubin Property
Numerous applications from diverse disciplines reduce to solving generalized equations in a Banach space setting. These equations are solved mostly iteratively, when a sequence is generated approximating a solution provided that certain conditions are valid on the starting point and the operators…
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Journal Article
Hardy-Littlewood-Sobolev Theorem for Bourgain-Morrey Spaces and Approximation
In this paper, we establish an extension of the Hardy-Littlewood-Sobolev theorem to the setting of the Bourgain-Morrey space Mαq,p(Rd) (1 ≤ q, p, α ≤ ∞), which theory goes back to Bourgain in 1991. We also prove that Mα q,p(R d ) is included in the closure of the Lebesgue space Lα in the…
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Journal Article
Conditional Least Squares Estimation for Fractional Super Levy Processes in Nonlinear SPDEs
We consider infinite dimensional extension of affine models as super Levy processes satisfying a nonlinear SPDE. We obtain the asymptotics of the conditional least squares estimators. Finally we obtain the Berry-Esseen inequality.
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Journal Article
On the Dirichlet Boundary Value Problem for the Cauchy-Riemann Equations in the Half Disc
In this article, we investigate the Dirichlet boundary value problem for the Cauchy-Riemann equations in the half disc. First, using the technique of parqueting–reflection and the Cauchy-Pompeiu representation formula for a half disc, we obtain an integral representation formula in the half disc…
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Journal Article
Frame Operators for Frames in Krein Spaces
In recent years, frames in Krein spaces and several generalizations have been extensively studied. In this paper, we propose an alternative way of looking at the notion of frames in Krein spaces and give a necessary and sufficient condition for a sequence in a Krein space to be a Bessel sequence…
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Journal Article
On the Stability of Hyers Orthogonality Functional Equations in Non-Archimedean Spaces
In this paper, we investigate the stability of specially orthogonally functional equations deriving from additive and quadratic functions 4f(x+y)+4f(x−y)+10f(x)+14f(−x)−3f(y)−3f(−y)=f(2x+y)+f(2x−y) and f(x+y+z/2)+f(x+y−z/2)+f(x−y+z/2)+f(y+z−x/2)=f(x)+f(y)+f(z) where f is a mapping from Abelian…
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Journal Article
Finite Difference Method for Solving Second-Order Boundary Value Problems with High-Order Accuracy
When researching and solving practical problems in continuous environments, through modeling methods, the vast majority of problems lead to models described by equations containing differential operators. In case the problem model is not complicated, we often obtain simple partial differential…
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Journal Article
Convexity Properties in Non-Newtonian Calculus and Their Applications
The study presented some results on convexity properties in non-Newtonian calculus. Also presented is the Jensen-Steffensen inequality in non-Newtonian calculus and some applications. The research was mainly on positive real numbers.
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Journal Article
Duals of Continuous Frames in Hilbert C∗-Modules
The concept of frame is an exciting, dynamic, and fast-paced subject with applications in numerous fields of mathematics and engineering. The purpose of this paper is to introduce equivalent ∗-continuous frames and to present ordinary duals of constructed ∗-continuous frames by an adjointable and…
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Journal Article
Boundedness of Some Commutators in Total Fofana Spaces
In this paper, we find necessary and sufficient conditions for the boundedness of the commutator of the Hardy-Littlewood maximal operator in total Fofana spaces. We also give in these spaces the boundedness of some sublinear operators and their commutators.
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Journal Article
Global Analysis of Meningitis Disease With Optimal Control
The meningitis epidemic has impacted lives negatively, especially in Sub-Sahara Africa, dubbed the ‘Meningitis Belt’. The epidemic has been a public health concern due to an improper understanding of the disease’s dynamics. To implement a control measure that will help minimize the epidemic, we…
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Journal Article
The Jacobi Mate of an Oval
We introduce and study the Jacobi mate Cj of an Euclidean oval C. We focus here on the curvature of Cj and on some examples.
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Journal Article
Extremal Functions and Calderon’s Formulas for the Riemann-Liouville Two-Wavelet Transform
The Riemann-Liouville operator has been extensively investigated and his witnessed a remarkable development in numerous fields of harmonic analysis. Knowing the fact of the study of the time-frequency analysis are both theoritically interesting and pratically useful, we investigated several…
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Journal Article
Best Proximity Point of Generalized θ-φ-Proximal Non-self Contractions
In this manuscript, motivated and inspired by results of Best proximity point of generalized F -proximal non-self contractions, we introduce the concept of generalized θ-φ-proximal contraction and prove new best proximity results for these contractions in the setting of a metric space. Our results…
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Journal Article
Global Stability Analysis of Onchocerciasis Transmission Dynamics with Vigilant Compartment in Two Interacting Populations
A deterministic compartmental model for the transmission dynamics of onchocerciasis with vigilant compartment in two interacting populations is studied. The model is qualitatively analyzed to investigate its global asymptotic behavior with respect to disease-free and endemic equilibria. It is…
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Journal Article
Modified Viscosity Iterative Algorithm for Solving Variational Inclusion and Fixed Point Problems in Real Hilbert Space
This paper introduces a new iterative algorithm, called the Modified Viscosity Iterative algorithm, designed to solve problems related to Variational Inclusion and Fixed point in real Hilbert spaces. The algorithm is specifically tailored to handle Multivalued Quasi-Nonexpansive and Demicontractive…
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Journal Article
The Constants to Measure the Differences Between Isosceles and α-β Orthogonalities
In this paper, by combining the isosceles orthogonality and α−β orthogonality of Banach spaces, we first introduce a new geometric constant. We demonstrate some basic properties about it, such as calculating its value in the common norm spaces. Moreover, the necessary and sufficient conditions for…