Afrika Matematika最新文献

In the paper, the authors establish several identities and relations involving q-analogues of the Pochhammer k-symbol. Moreover, the authors generalize several identities and relations for q-analogues of the Catalan numbers and the Catalan–Qi numbers.

In the current study, we look at the majorization characteristics of the subclass (U_{m}(alpha ,eta ,delta )) of analytical functions described by the fractional Ruscheweyh–Goyal derivative. There are additional linkages made between the major findings of this study and those of prior researchers that are pertinent. Furthermore, we highlight a few novel or established implications of our primary finding.

The purpose of the present paper is to introduce subclasses of (p-)valent functions defined by linear operator. Inclusion relationships for functions in these subclasses are discussed.

In this work, we present methods for constructing representations of polynomial covariance type commutation relations (AB=BF(A)) by linear integral operators in Banach spaces (L_p). We derive necessary and sufficient conditions on the kernel functions for the integral operators to satisfy the covariance type commutation relation for general polynomials F, as well as for important cases, when F is arbitrary affine or quadratic polynomial, or arbitrary monomial of any degree. Using the obtained general conditions on the kernels, we construct concrete examples of representations of the covariance type commutation relations by integral operators on (L_p). Also, we derive useful general reordering formulas for the integral operators representing the covariance type commutation relations, in terms of the kernel functions.

In this paper we introduce a new class of (vartheta )-bi-pseudo-starlike functions with respect to symmetric points associated with telephone numbers and determine the bounds of the initial Taylor–Maclaurin coefficients and the Fekete–Szegö problem for functions belonging to this class. Some special cases of main results presented here are stated which are new and give better improvement to the initial Taylor-Maclaurin coefficients.

A mechanistic model that incorporates public health enlightenment, treatment, and snake developmental stages is developed and rigorously analyzed. The model is used to gain more insights into the dynamics and control of snakebite envenoming (SBE). Some interesting equilibrium points that demonstrate the presence and absence of snakes in a given population were computed. It has been shown that the existence or extinction of snakes in a given community depends on snake existence threshold (R_S). Whenever the threshold is greater than one, snakes exist in the community, while if the threshold is exactly equal to one, then snakes seize to exist. Furthermore, a rigorous qualitative study of the model revealed that each of the snake-free, SBE-free, and SBE-endemic equilibrium points is globally asymptotically stable. In addition, a sensitivity analysis of the model parameters was conducted in order to identify the most influential parameters on SBE transmission dynamics. It is shown that an effective contact rate is the most important parameter. Therefore, preventive strategies that focus on reducing contact between humans and snakes, such as the use of snakebite repellent and protective gloves, are very important in controlling SBE. Finally, simulations have indicated that public health education on the use of snakebite preventive measures in combination with treatment of SBE victims is critical in reducing the number of new cases and deaths, respectively.

The concept of weak algebraic hyperstrutures onstitutes a generalization of the well-known algebraic hyperstrutures. A motivation for the study of hyperstructures comes from chemical reactions. By redox reactions on (Sn, F e, T i, Co, M n, Am) and (Cu), we provide hypergroups, hypergraphs and mathematical model for these redox reactions.

Recently, solving tensor equations (or multilinear systems) has attracted a lot of attention. This paper investigates the tensor form of the Bi-CGSTAB and Bi-CRSTAB methods, by employing Kronecker product, vectorization, and bilinear operator, to solve the generalized coupled Sylvester tensor equations (sum _{i=1}^{n}({mathcal {X}}times _1A_{i1}times _2A_{i2}+mathcal Ytimes _1B_{i1}times _2B_{i2})={mathcal {E}}_1,~sum _{i=1}^{n}(mathcal Xtimes _1C_{i1}times _2C_{i2}+mathcal Ytimes _1D_{i1}times _2D_{i2})={mathcal {E}}_2,) with no matricization. Also some properties of the new methods are presented. By applying multilinear operator, the proposed methods are extended to the general form. Some numerical examples are provided to compare the efficiency of the investigated methods with some existing popular algorithms. Finally, some concluding remarks are given.

In this paper we give in the context of sections of a (Riemannian) almost Hermitian fiber bundle a reformulation of a theory of deformation linked to harmonic maps between almost Hermitian manifolds developped by A. Lichnerowicz.

Generalized frames are natural generalizations of frames. The computation of distances between frames is a crucial concept in frame theory. In this paper we give some basic definitions and results on continuous frames, continuous g-frames, equivalence relations and distances between continuous g-frames. Furthermore, we introduce some equivalency relations between continuous g-frames for a Hilbert space and closed subspaces of (L^{2}({mathfrak {A}})), and we define a distance between continuous g-frames. Finally, we define a new metric on the set of near continuous g-frames and investigate some of its properties.