Bernstein polynomial estimation provides a robust nonparametric technique for approximating both density and distribution functions. Based on the properties of Bernstein polynomials, which uniformly ...
Polynomials and power functions are the foundation for modelling non-linear relationships. Polynomial functions such as quadratic, cubic and quartic model variables raised to exponents of different ...
Abstract: This paper presents our investigations aimed at improving the orthogonality properties of polynomial higher-order hierarchical basis functions leading to better conditioned MoM matrices and ...
Abstract: The main focus of this investigation is the applications of Sigmoid functions. Due to its various uses in physics, engineering, and computer science, we introduce Bell-based ...
The study of polynomial sequences and their moment properties occupies a central role in contemporary mathematical research, bridging classical analysis with modern combinatorial theory. Polynomial ...
Department of Mathematics, Faculty of Science, Hadhramout University, Hadhranout, Yemen. The main aim of this paper is to consider a new generalization of the Hermite matrix polynomials and to derive ...
The polynomial-solutions of the self-adjoint differential equations $D\left[ {\exp \left( { - x_1^{2k}} \right)Dy} \right] + \lambda {x^{2k - 2}}\exp \left( { - {x ...
A three-complex-parameter class of orthogonal Laurent polynomials on the unit circle associated with basic hypergeometric or q-hypergeometric functions is considered. To be precise, we consider the ...
We present wavelet bases made of piecewise (low degree) polynomial functions with an (arbitrary) assigned number of vanishing moments. We study some of the properties of these wavelet bases; in ...
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