Results 1 to 10 of about 40 (40)
Concrete Operators, 2022 In this article we continue our investigation of the Paatero space. We prove that the intersection of every Paatero class V(k) with every Hardy space Hp is closed in that Hp and associate singular continuous measures to elements of V(k).
Andreev Valentin V. +2 more
doaj +1 more source
A Cauchy-type generalization of Flett's theorem
Demonstratio Mathematica, 2021 We prove a Cauchy-type generalization of Flett’s theorem and note its geometric interpretations. Several other mean value theorems extending further the result, which involve both real and complex functions, are also proved.
Markov Lubomir
doaj +1 more source
More on zeros and approximation of the Ising partition function
Forum of Mathematics, Sigma, 2021 We consider the problem of computing the partition function $\sum _x e^{f(x)}$ , where $f: \{-1, 1\}^n \longrightarrow {\mathbb R}$ is a quadratic or cubic polynomial on the Boolean cube $\{-1, 1\}^n$ .
Alexander Barvinok, Nicholas Barvinok
doaj +1 more source
On the Zeros of Polynomials with Restricted Coefficients
Annales Mathematicae Silesianae, 2023 Let P(z)=∑j=0najzjP\left( z \right) = \sum\nolimits_{j = 0}^n {{a_j}{z^j}} be a polynomial of degree n such that an ≥ an−1 ≥ . . . ≥ a1 ≥ a0 ≥ 0. Then according to Eneström-Kakeya theorem all the zeros of P (z) lie in |z| ≤ 1.
Zargar B. A., Gulzar M. H., Ali M.
doaj +1 more source
Results in Physics, 2021 In this paper, the sub-equation method is used to obtain new types of complex traveling wave solutions of the time-fractional Burgers-Fisher equation. In this work is to compare the exact complex traveling wave solutions of new types and the numerical ...
Asıf Yokus +4 more
doaj +1 more source
Starlike and convexity properties of q-Bessel-Struve functions
Demonstratio Mathematica, 2022 This paper introduces three different normalization associated with the second and third q-Bessel-Struve functions. We use Hadamard factorizations to determine the radii of starlike and convexity of these functions.
Oraby Karima M., Mansour Zeinab S. I.
doaj +1 more source
Extensions of the Eneström-Kakeya theorem for matrix polynomials
Special Matrices, 2019 The classical Eneström-Kakeya theorem establishes explicit upper and lower bounds on the zeros of a polynomial with positive coefficients and has been generalized for positive definite matrix polynomials by several authors.
Melman A.
doaj +1 more source
An integral that counts the zeros of a function
Open Mathematics, 2018 Given a real function f on an interval [a, b] satisfying mild regularity conditions, we determine the number of zeros of f by evaluating a certain integral. The integrand depends on f, f′ and f″.
Hungerbühler Norbert, Wasem Micha
doaj +1 more source
Shapiro’s problem on polynomials with large partial sums of coefficients
Forum of Mathematics, SigmaGiven a polynomial $\sum _\nu a_\nu X^\nu $ of degree $
Marc Technau
doaj +1 more source
Computation of the zeros of a quaternionic polynomial using matrix methods
Arab Journal of Basic and Applied SciencesIn a recent paper, Ishfaq Dar (2024), worked on the problem of locating the zeros of quaternion polynomials by introducing various matrix techniques.
N. A. Rather +4 more
doaj +1 more source