Results 1 to 10 of about 3,225,384 (253)
Symmetric functions on spaces $\ell_p(\mathbb{{R}}^n)$ and $\ell_p(\mathbb{{C}}^n)$
Karpatsʹkì Matematičnì Publìkacìï, 2020 This work is devoted to the study of algebras of continuous symmetric polynomials, that is, invariant with respect to permutations of coordinates of its argument, and of $*$-polynomials on Banach spaces $\ell_p(\mathbb{R}^n)$ and $\ell_p(\mathbb{C}^n ...
T.V. Vasylyshyn
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Matrix approach to solve polynomial equations
Results in Applied Mathematics, 2023 Polynomials are widely employed to represent numbers derived from mathematical operations in nearly all areas of mathematics. The ability to factor polynomials entirely into linear components allows for a wide range of problem simplifications. This paper
Samir Brahim Belhaouari +2 more
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Mathematics, 2023 In this paper, a model matching feedback law design technique is applied to a macroeconomical model. We calculate, using computational algebra methodology, which paths of government expenditure and extra taxation will lead the system to a desired dynamic
Stelios Kotsios
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Some properties of shift operators on algebras generated by $*$-polynomials
Karpatsʹkì Matematičnì Publìkacìï, 2018 A $*$-polynomial is a function on a complex Banach space $X,$ which is a sum of so-called $(p,q)$-polynomials. In turn, for non-negative integers $p$ and $q,$ a $(p,q)$-polynomial is a function on $X,$ which is the restriction to the diagonal of some ...
T.V. Vasylyshyn
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Real Root Polynomials and Real Root Preserving Transformations
International Journal of Mathematics and Mathematical Sciences, 2021 Polynomials can be used to represent real-world situations, and their roots have real-world meanings when they are real numbers. The fundamental theorem of algebra tells us that every nonconstant polynomial p with complex coefficients has a complex root.
Suchada Pongprasert +3 more
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Entire Analytic Functions of Unbounded Type on Banach Spaces and Their Lineability
Axioms, 2021 In the paper we establish some conditions under which a given sequence of polynomials on a Banach space X supports entire functions of unbounded type, and construct some counter examples.
Andriy Zagorodnyuk, Anna Hihliuk
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Point-evaluation functionals on algebras of symmetric functions on $(L_\infty)^2$
Karpatsʹkì Matematičnì Publìkacìï, 2019 It is known that every continuous symmetric (invariant under the composition of its argument with each Lebesgue measurable bijection of $[0,1]$ that preserve the Lebesgue measure of measurable sets) polynomial on the Cartesian power of the complex Banach
T.V. Vasylyshyn
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Hilbert polynomials of the algebras of $SL_ 2$-invariants
Karpatsʹkì Matematičnì Publìkacìï, 2018 We consider one of the fundamental problems of classical invariant theory, the research of Hilbert polynomials for an algebra of invariants of Lie group $SL_2$.
N.B. Ilash
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Axioms, 2023 In this paper we formulate necessary conditions for the stability of certain quadrature methods for Mellin type singular integral equations on an interval.
Peter Junghanns, Robert Kaiser
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ITM Web of Conferences, 2018 We review classical concepts of resultants of algebraic polynomials, and we adapt some of these concepts to objects in differential algebra, such as linear differential operators and differential polynomials.
McCallum Scott, Winkler Franz
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