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Convolution Operators with Homogeneous Singular Measures on $R^{3}$ of Polynomial Type. The Remainder Case
Convolution operators Singular measures
2008/7/2
Convolution Operators with Homogeneous Singular Measures on $R^{3}$ of Polynomial Type. The Remainder Case.
Inequalities of Bonferroni-Galambos Type with Applications to the Tutte Polynomial and the Chromatic Polynomial
Bonferroni inequalities Inclusion-exclusion Tutte polynomial Chromatic polynomial Graph Matroid
2008/7/1
Inequalities of Bonferroni-Galambos Type with Applications to the Tutte Polynomial and the Chromatic Polynomial.
We give explicit bounds for the absolute values of the coefficients of the divisors of a complex polynomial. They are expressed in function of the coefficients and of upper and lower bounds for the ro...
Asymptotic Expansion of the Equipoise Curve of a Polynomial Inequality
Polynomial inequality Catalan numbers
2008/7/1
Asymptotic Expansion of the Equipoise Curve of a Polynomial Inequality.
Inequalities for the Maximum Modulus of the Derivative of a Polynomial
Polynomial Derivative Bernstein Inequality Maximum Modulus
2008/7/1
Inequalities for the Maximum Modulus of the Derivative of a Polynomial.
New Inequalities on Polynomial Divisors.
Note On Bernstein's Inequality For The Third Derivative Of A Polynomial
Bernstein's inequality Unit circle
2008/6/27
Note On Bernstein's Inequality For The Third Derivative Of A Polynomial.
On Some Polynomial-like Inequalities of Brenner and Alzer
Polynomial inequalities Switching inequalities Jensen's inequality
2008/6/27
Refinements and extensions are presented for some inequalities of Brenner and Alzer for certain polynomial-like functions.
On the Rate of Convergence of some Orthogonal Polynomial Expansions
Orthogonal polynomial expansion Rate of pointwise and uniform convergence Modulus of variation Generalized variation
2008/6/27
In this paper we estimate the rate of pointwise convergence of certain orthogonal expansions for measurable and bounded functions.
Some Results on the Complex Oscillation Theory of Differential Equations with Polynomial Coefficients
Differential equations Order of growth Exponent of convergence of distinct zeros Wiman-Valiron theory
2008/6/26
Some Results on the Complex Oscillation Theory of Differential Equations with Polynomial Coefficients.
Inequalities for the Polar Derivative of a Polynomial
Polynomials Inequality Polar Derivative
2010/1/22
In this paper we obtain new results concerning maximum modules of the polar derivative of a polynomial with restricted zeros. Our results generalize and refine upon the results of Aziz and Rather [3] ...
The characteristic polynomial of some perturbed tridiagonal k-Toeplitz matrices
characteristic polynomial eigenvalues eigenvectors
2010/9/14
We generalize some recent results on the spectra of tridiagonal matrices, providing explicit expressions for the characteristic polynomial of some perturbed tridiagonal k-Toeplitz matrices. The calcul...
When a regression model is applied as an approximation of underlying model of data, the model checking is important and relevant. In this paper, we investigate the lack-of-fit test for a polynomial er...
On Nonexistence of Algebraic Curve Solutions to Second-order Polynomial Autonomous Systems Over the Complex Field
autonomous system existence algebraic curve irreducibility
2007/12/11
In this paper, by using the method of algebraic analysis, the results in our previous work are generalized. These results are of importance in the qualitative theory of polynomial autonomous systems. ...
Number and Location of Limit Cycles in a Class of Perturbed Polynomial Systems
polynomial system limit cycles stability bifurcation
2007/12/11
In this paper, we investigate the number, location andstability of limit cycles in a class of perturbed polynomialsystems with $(2n+1)$ or $(2n+2)$-degree by constructing detectionfunction and using q...
