In this paper, I study to solve functional inequalities and equations of type Cauchy-Jensen with 3k-variables in a general form. I first introduce the con-cept of the general Cauchy-Jensen equation and next, I use the direct method of proving the solutions of the Jensen-Cauchy functional inequalities relative to the general Cauchy-Jensen equations and then I show that their solutions are mappings that are additive mappings calculated and finally apply the de-rivative setup on fuzzy algebra also ...

Mathematics 

In this article, I use the direct method to study two general functional inequalities with multivariables. First, I prove that the g(λ)-function inequalities (1) and (2) are additive in (α₁;α₂)-homogeneous F-spaces. After that, I continue to prove that the g(λ)-function inequality (1) and (2) are quadratic in the (α₁;α₂)-homogeneous F-space. That is the main result in this paper.

Mathematics 

This paper explores various applications of advanced mathematics in fields such as economics, management, psychology, and other disciplines, as well as in everyday life and work through the literature review method. It reveals the close connection between advanced mathematics and other professions, deepening the understanding of the historical and practical background of advanced mathematics. The paper finds that only by choosing appropriate mathematical methods for different problems can proble...

Mathematics 

In this paper, we investigate the existence of normalized solutions to the coupling of the nonlinear Schrödinger-Maxwell equations. In the mass-subcritical case, we by weak lower semmicontinuity of norm prove that the equations satisfying normalization condition exist a normalized ground state solution.

Mathematics 

In this article, I study the establishment of the quadratic-additive η-function inequality with 3k-variables on the homogeneous complex Banach space and prove the quadratic-additive η-function equation related to the additive and quadratic η-functional inequalities in (α₁,α₂)-homogeneous Banach complex space.

Mathematics 

In this paper, I work on expanding the Quadratic Φ(μ₁,μ₂)-function inequalities by relying on the general quadratic functional equation with 2k-variables on the fuzzy Banach space. That’s the main result of this.

Mathematics 

In this paper, we study the existence of normalized solutions to the Klein-Gordon-Maxwell systems. In the mass-subcritical case, we prove that the systems satisfying normalization conditions have a normalized ground state solution.

Mathematics 

In this paper we provide a computational approach to a minimization problem for the value function associated with an affine optimal control problem subject to terminal-constraint with quadratic cost plus a potential, for a fixed final time and initial point. We study the global minimization problem of the value function over the attainable set and the regularity properties of the value function at a global minimizer point. On the other hand, in the global minimization of the value function, by ...

Mathematics 

In this paper, I study to establish general Cauchy-Jensen μ_j-function inequalities by relying on general Cauchy-Jensen equations with 3k-variables on complex Banach spaces. First, I investigated the Cauchy-Jensen μ_j-function inequalities in complex Banach spaces and then I establish Isomorphisms between Unital Banach Algebras. These are the main results of this paper.

Mathematics 

This paper presents the analysis of a two-stage negative binomial group testing estimator of the prevalence of a rare trait when imperfect diagnostic tests with known sensitivity and specificity were used. The study utilized the method of Maximum Likelihood Estimation (MLE) to obtain the estimator and the Cramer-Rao lower bound method to compute the Fischer information of the estimator. The properties of the constructed estimator are discussed and the efficiency of the constructed estimator rela...

Mathematical Statistics  Mathematics