Motivated by the formula, we investigate factorizations of the lower-triangular Toeplitz matrix with (i; j )th entry equal to x i−j via the Pascal matrix. In this way, a new computational approach to the generalization of ...
We consider an admissible estimator for the rth power of a scale parameter that is lower or upper bounded in a subclass of the scale-parameter exponential family under the entropy loss function. An admissible estimator for ...
We consider an admissible estimator for the rth power of a scale parameter that is lower or upper bounded in a subclass of the scale-parameter exponential family under the entropy loss function. An admissible estimator for ...
Dynamics of a system of hard spheres with inelastic collisions is investigated. This system is a model for granular flow. The map induced by a shift along the trajectory does not preserve the volume of the phase space, and ...
We prove a theorem on ∣ N¯,pn,θn ∣k-summability by using a new general class of power increasing sequences instead of a quasi-η-power increasing sequence. This theorem also includes some new and known results.
Let G be a finite group and let π e (G) be the set of orders of elements from G. Let k ∈ π e (G) and let m k be the number of elements of order k in G. We set nse (G) := {m k | k ∈ π e (G)}. It is proved that PSL(2, q) are ...
We propose a new method of algebraic transformations aimed at finding the traveling-wave solutions of complicated nonlinear wave equations on the basis of simpler equations. The generalized Dullin–Gottwald–Holm (DGH) ...
The paper presents an improved Jackson inequality and the corresponding inverse inequality for the best trigonometric approximation in terms of the moduli of smoothness equivalent to zero on the trigonometric polynomials ...
A generalization of the classical Leray – Schauder fixed point theorem, based on the infinite-dimensional
Borsuk – Ulam type antipode construction, is proposed. A new nonstandard proof of the classical Leray –
Schauder ...
In the paper, we study the boundary-value problems for parameter-dependent anisotropic differential-operator equations with variable coefficients. Several conditions for the uniform separability and Fredholmness in ...
Let G be a finite solvable group and let χ be a nonlinear irreducible (complex) character of G. Also let η (χ) be the number of nonprincipal irreducible constituents of χχ, where χ denotes the complex conjugate of χ. ...
Let G be an arbitrary FC-group, let R be its locally soluble radical, and let L/R = L(G/R). We prove that, for N ⊲ G, G/N is residually finite if R ⊆ N ⊆ L.
The object of the present paper is to study invariant submanifolds of a (k, μ)-contact manifold and to find the necessary and sufficient conditions for an invariant submanifold of a (k, μ)-contact manifold to be totally geodesic.
Very recently Deo, in the paper “Simultaneous approximation by Lupas operators with weighted function of Szasz operators” [J. Inequal. Pure Appl. Math., 5, No. 4 (2004)] claimed to introduce the integral modifications of ...
Amouzegar Kalati, T.; Keskin Tütüncü, D.(Український математичний журнал, 2012)
Let R be a right perfect ring. Let M be a noncosingular lifting module that does not have any relatively projective component. Then M has finite hollow dimension.
We prove that a semialgebraic map is semialgebraically proper if and only if it is proper. As an application of this assertion, we compare the semialgebraically proper actions with proper actions in a sense of Palais.
Le Van Hien(Український математичний журнал, 2005)
We study the stability of solutions of fuzzy differential equations by Lyapunov's second method. By using scale equations and the comparison principle for Lyapunov-like functions, we give sufficient criteria for the stability ...
The numerical-analytic method is applied to systems of differential equations with parameter under the assumption that the corresponding functions satisfy the Lipschitz conditions in matrix notation. We also obtain several ...