43,367 Results Found

Let X be a commutative normed algebra with a unit element e (or a normed field of characteristic different from 2), where the associated norm is sub-multiplicative. We prove the generalized Hyers-Ulam stability of a mean value-type functional equatio...

We prove the generalized Hyers–Ulam stability of a mean value type functional equation $f\left(x\right)-g\left(y\right)=(x-y)h(x+y)$ by applying a method originated from fixed point theory.

Perceived value is a key factor shaping consumer purchase decisions. In the field of functional snack consumption, generational differences in value perception dimensions significantly influence decision-making processes, creating both challenges and...

China’s social and economic development is in a critical period of transition. With the implementation of the Rural Revitalization Strategy, new rural industries and new formats have developed rapidly. Profound changes have taken place in the h...

We consider the periodic boundary value problem (PBVP) for a semilinear fractional-order delayed functional differential inclusion in a Banach space. We introduce and study a multivalued integral operator whose fixed points coincide with mild solutio...

With the rapid development of short-form videos, more and more people have gained a deep understanding of the functional value of short-form videos. Based on structuration theory, this paper explores the reasons why users use short-form videos. The a...

Milk and dairy products are fundamental items in all social groups’ diets. The production of functional milk and dairy products supplemented with plant extracts is a potential direction of research in the dairy sector. In the present study, chufa (ti...

This paper shows how to obtain highly accurate solutions of eighth-order boundary-value problems of linear and nonlinear ordinary differential equations. The presented method is based on the Theory of Functional Connections, and is solved in two step...

This manuscript introduces the first hp-adaptive mesh refinement algorithm for the Theory of Functional Connections (TFC) to solve hypersensitive two-point boundary-value problems (TPBVPs). The TFC is a mathematical framework that analytically satisf...

The exact conditions sufficient for the unique solvability of the initial value problem for a system of linear fractional functional differential equations determined by isotone operators are established. In a sense, the conditions obtained are optim...

This paper addresses the theoretical issues in k-valued logic, which are crucial for developing solutions in various fields of science and technology. One of the fundamental issues is a complete description of the closed classes of functions of three...

In grassland ecosystems, agriculture and urbanization are two main anthropogenic disturbances to native fauna. Nature preserves at the urban-agricultural interface may include diverse vegetation habitats, providing opportunities for native fauna. Lim...

We consider analytic functions in tubes ${\mathbb{R}}^n+iB\subset {\mathbb{C}}^n$ with values in Banach space or Hilbert space. The base of the tube B will be a proper open connected subset of ${\mathbb{R}}^n$, an open connected cone in ${\mathbb{R}}^n$, an open convex cone in ${\mathbb{R}}^n$, and a regular cone in ${\mathbb{R}}^n$,...

Highly nutritious traditional plants which are rich in bioactive substances are attracting increasing attention. In this study, the nutritional value, chemical composition, biological activities, and feed indices of different parts of Millettia speci...

A class of interval-valued OWA operators can be constructed from interval-valued overlap functions with interval-valued weights, which plays an important role in solving multi-attribute decision making (MADM) problems considering interval numbers as...

The aim of the paper is to generalize results by Sikorska on some functional equations for set-valued functions. In the paper, a tool is described for solving a generalized type of an integral-functional equation for a set-valued function $F:X\to cc$...

In this study, we defined a kind of Fourier expansion of set-valued square-integrable functions. In fact, we have seen that the classical Fourier basis also constitutes a basis for the Hilbert quasilinear space $L_2(\left[-\pi ,\pi \right],\Omega \left(\mathbb{C}\right))$ of $\&Ome$...

In recent years, there has been a significant amount of research on the extension of convex functions which are known as preinvex functions. In this paper, we have used this approach to generalize the preinvex interval-valued function in terms of $({\mathrm{\&p}}_{}$...

Vector-valued analytic functions in ${\mathbb{C}}^n$, which are known to have vector-valued tempered distributional boundary values, are shown to be in the Hardy space $H^p,1\le p<2$, if the boundary value is in the vector-valued $L^p,1\le p<2$, functions. The ana...

In the present paper, a new special function, the so-called extreme value $\mathbb{H}$-function, is introduced. This new function, which is a generalization of the H-function with a particular set of parameters, appears while dealing with products and quotients...

The purpose of this study is to introduce the new class of Hermite–Hadamard inequality for LR-convex interval-valued functions known as LR-interval Hermite–Hadamard inequality, by means of pseudo-order relation ( ${\le }_p$ ). This o...

In this paper, we are concerned with the calculus for fuzzy-valued functions of a single real variable when the adopted representation is the midpoint-radius; in particular, we extend the well-known LU-order to the more general case of the so-called...

In this article, firstly, we establish a novel definition of weighted interval-valued fractional integrals of a function $\breve{\mathsf{{\rm Y}}}$ using an another function $\vartheta \left(\dot{\zeta }\right)$. As an additional observation, it is noted that the new class of weighted interval-valued frac...

We consider known expressions for the eigenvalue of the Balitsky-Fadin-Kuraev-Lipatov (BFKL) equation in $N=4$ super Yang-Mills theory as a real valued function of two variables. We define new real valued functions of two complex conjugate variables th...

In this paper, we create a family of neural network (NN) operators employing a parametrized and deformed half-hyperbolic tangent function as an activation function and a density function produced by the same activation function. Moreover, we consider...

A theory for set-valued functions is developed, which are translative with respect to a linear operator. It is shown that such functions cover a wide range of applications, from projections in Hilbert spaces, set-valued quantiles for vector-valued ra...

Understanding land use functions (LUFs) value is critical for implementing sustainable land resources management and optimizing territorial space in China. However, existing research insufficiently portrays the contributions of land use to economic a...

We introduce a new class of interval-valued preinvex functions termed as harmonically h-preinvex interval-valued functions. We establish new inclusion of Hermite–Hadamard for harmonically h-preinvex interval-valued function via interval-valued...

The present paper is devoted to the properties of entire vector-valued functions of bounded L-index in join variables, where $\mathbf{L}:{\mathbb{C}}^n\to {\mathbb{R}}_{+}^n$ is a positive continuous function. For vector-valued functions from this class we prove some propositions descr...

In this paper, we study the best approximation of a fixed fuzzy-number-valued continuous function to a subset of fuzzy-number-valued continuous functions. We also introduce a method to measure the distance between a fuzzy-number-valued continuous fun...

The connection between generalized convexity and symmetry has been studied by many authors in recent years. Due to this strong connection, generalized convexity and symmetry have arisen as a new topic in the subject of inequalities. In this paper, we...

The decomposition integrals of set-valued functions with regards to fuzzy measures are introduced in a natural way. These integrals are an extension of the decomposition integral for real-valued functions and include several types of set-valued integ...

We study general classes of discrete time dynamic optimization problems and dynamic games with feedback controls. In such problems, the solution is usually found by using the Bellman or Hamilton–Jacobi–Bellman equation for the value funct...

In multiple attribute decision-making in an intuitionistic fuzzy environment, the decision information is sometimes given by intuitionistic fuzzy soft sets. In order to address intuitionistic fuzzy decision-making problems in a more efficient way, ma...

In this article, the authors study the boundedness of the vector-valued inequality for the intrinsic square function and the boundedness of the scalar-valued intrinsic square function on variable exponents Herz spaces ${\dot{K}}_{\rho (·)}^{\alpha ,q(}$...

In this paper, we present the gH-symmetrical derivative of interval-valued functions and its properties. In application, we apply this new derivative to investigate the Karush–Kuhn–Tucker (KKT) conditions of interval-valued optimization p...

Decentralized partially observable Markov decision processes (Dec-POMDPs) are general multi-agent models for planning under uncertainty, but are intractable to solve. Doubly exponential growth of the search space as the horizon increases makes a brut...

The minimization of Exclusive-OR Sum-of-Products (ESOP) expressions in the case of multi-valued input, multi-output binary, and certain types of multi-valued output functions (MVESOP) is approached in this work through a novel nonlinear integer progr...

The goal of this study is to create new variations of the well-known Hermite–Hadamard inequality (HH-inequality) for preinvex interval-valued functions (preinvex I-V-Fs). We develop several additional inequalities for the class of functions who...

Green’s functions for linear two-point boundary-value problems subject to non-homogeneous Neumann’s boundary conditions are derived. It is shown that, for the differential operator $L\left(y\right)=y^{″}+ky$ with $k\ne n\pi /L$ where n is a natural n...

The aim of this study was to examine consumers’ opinions toward adopting electric vehicles (EVs) for light-duty transport in the United Arab Emirates (UAE) from the functional value (i.e., the utility or benefit attained by consumers from the f...

Decision support tools based on multi-attribute analysis involve the use of different types of variables. These variables are aimed at providing a framework that allows preferences to be quantified. This is particularly useful in the field of sustain...

Many authors have recently examined the relationship between symmetry and generalized convexity. Generalized convexity and symmetry have become a new area of study in the field of inequalities as a result of this close relationship. In this article,...

Convexity is crucial in obtaining many forms of inequalities. As a result, there is a significant link between convexity and integral inequality. Due to the significance of these concepts, the purpose of this study is to introduce a new class of gene...

Determining the Jensen–Mercer inequality for interval-valued coordinated convex functions has been a challenging task for researchers in the fields of inequalities and interval analysis. We use ${\ominus }_g$ to establish the Jensen–Mercer ineq...

This paper explores the problem of developing correcting functions that replace multiple unreliable (heuristic) recognition algorithms with a single, consistent decision function. The research concept stems from the fact that, in pattern recognition...

The main purpose of this article is using the elementary methods, the properties of Dirichlet L-functions to study the computational problem of a certain mean square value involving Dirichlet L-functions at positive integer points, and give some exac...

Aggressive behavior in adolescence is influenced by a diversity of individual, family, and social variables. The purpose of this study was to analyze the relationship between family functioning, emotional intelligence, and personal values for develop...

This paper introduces the comprehensive value function, a novel framework designed to address multi-dimensional challenges in sustainability assessment within decision-making processes. Multi-criteria decision-making methods based on multi-attribute...

Background/Objectives: Adequate physical fitness has been associated with cognitive health among adolescents, and psychosocial processes may help explain this relationship. However, evidence regarding the mechanisms linking physical fitness and cogni...