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Displaying 61 – 80 of 135

Polynomial Expansions for Solutions of Higher-Order Bessel Heat Equation in Quantum Calculus

Ben Hammouda, M.S., Nemri, Akram (2007)

Fractional Calculus and Applied Analysis

Mathematics Subject Class.: 33C10,33D60,26D15,33D05,33D15,33D90In this paper we give the q-analogue of the higher-order Bessel operators studied by I. Dimovski [3],[4], I. Dimovski and V. Kiryakova [5],[6], M. I. Klyuchantsev [17], V. Kiryakova [15], [16], A. Fitouhi, N. H. Mahmoud and S. A. Ould Ahmed Mahmoud [8], and recently by many other authors. Our objective is twofold. First, using the q-Jackson integral and the q-derivative, we aim at establishing some properties of this function with proofs...

Polynomial inequalities for non-commuting operators.

Mccarthy, John E., Timoney, Richard M. (2010)

ELA. The Electronic Journal of Linear Algebra [electronic only]

Polynomial inequalities, functional spaces and best approximation on the real semiaxis with Laguerre weights.

Mastroianni, G. (2002)

ETNA. Electronic Transactions on Numerical Analysis [electronic only]

Polynomial inequalities on general subsets of $R^{N}$

Pierre Goetgheluck (1989)

Colloquium Mathematicae

Polynomial interpolation and asymptotic representations for zeta functions [Book]

Michael I. Ganzburg (2013)

Polynomial selections and separation by polynomials

Szymon Wąsowicz (1996)

Studia Mathematica

K. Nikodem and the present author proved in [3] a theorem concerning separation by affine functions. Our purpose is to generalize that result for polynomials. As a consequence we obtain two theorems on separation of an n-convex function from an n-concave function by a polynomial of degree at most n and a stability result of Hyers-Ulam type for polynomials.

Polynomial set-valued functions

Joanna Szczawińska (1996)

Annales Polonici Mathematici

The aim of this paper is to give a necessary and sufficient condition for a set-valued function to be a polynomial s.v. function of order at most 2.

Polynomial two-point expansions.

A. Clausing (1988)

Aequationes mathematicae

Polynomials and convex sequence inequalities.

Mercer, A.McD. (2005)

JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]

Polynomials and degrees of maps in real normed algebras

Takis Sakkalis (2020)

Communications in Mathematics

Let $𝒜$ be the algebra of quaternions $ℍ$ or octonions $𝕆$ . In this manuscript an elementary proof is given, based on ideas of Cauchy and D’Alembert, of the fact that an ordinary polynomial $f (t) \in 𝒜 [t]$ has a root in $𝒜$ . As a consequence, the Jacobian determinant $| J (f) |$ is always non-negative in $𝒜$ . Moreover, using the idea of the topological degree we show that a regular polynomial $g (t)$ over $𝒜$ has also a root in $𝒜$ . Finally, utilizing multiplication ( $*$ ) in $𝒜$ , we prove various results on the topological degree of products...

Polynomials, sign patterns and Descartes' rule of signs

Vladimir Petrov Kostov (2019)

Mathematica Bohemica

By Descartes’ rule of signs, a real degree $d$ polynomial $P$ with all nonvanishing coefficients with $c$ sign changes and $p$ sign preservations in the sequence of its coefficients ( $c + p = d$ ) has $pos \leq c$ positive and $\neg \leq p$ negative roots, where $pos \equiv c (mod 2)$ and $\neg \equiv p (mod 2)$ . For $1 \leq d \leq 3$ , for every possible choice of the sequence of signs of coefficients of $P$ (called sign pattern) and for every pair $(pos, neg)$ satisfying these conditions there exists a polynomial $P$ with exactly $pos$ positive and exactly $\neg$ negative roots (all of them simple). For $d \geq 4$ this is not...

Currently displaying 61 – 80 of 135

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Displaying 61 – 80 of 135

Polynomial Expansions for Solutions of Higher-Order Bessel Heat Equation in Quantum Calculus

Polynomial inequalities for non-commuting operators.

Polynomial inequalities, functional spaces and best approximation on the real semiaxis with Laguerre weights.

Polynomial inequalities on general subsets of $R^{N}$

Polynomial interpolation and asymptotic representations for zeta functions [Book]

Polynomial selections and separation by polynomials

Polynomial set-valued functions

Polynomial two-point expansions.

Polynomials and convex sequence inequalities.

Polynomials and degrees of maps in real normed algebras

Polynomials, sign patterns and Descartes' rule of signs

Porosity and continuous, nowhere differentiable functions

Porosity, derived numbers and knot points of typical continuous functions

Positive derivatives and increasing functions.

Positive semidefinite matrices, exponential convexity for majorization, and related Cauchy means.

Positive solutions for boundary value problem of nonlinear fractional differential equation.

Positive solutions for boundary value problem of nonlinear fractional differential equation.

Positive solutions for boundary value problems of $N$ -dimension nonlinear fractional differential system.

Positive solutions for boundary-value problems of nonlinear fractional differential equations.

Positive solutions for higher-order nonlinear fractional differential equation with integral boundary condition.

Currently displaying 61 – 80 of 135