Two-sided inequalities with nonmonotone sublinear operators
Journal Title: Карпатські математичні публікації - Year 2015, Vol 7, Issue 1
Abstract
The theorems on solutions and their two-sided estimates for one class of nonlinear operator equations x=Fx with nonmonotone operators.
Authors and Affiliations
M. Kopach, A. F. Obshta, B. A. Shuvar
On estimates for the Jacobi transform in the space Lp(R+,Jα,β(x)dx)
In this paper, we prove the estimates for the Jacobi transform in Lp(R+,Jα,β(x)dx) as applied to some classes of functions characterized by a generalized modulus of continuity.
The convergence classes for analytic functions in the Reinhardt domains
Let L0 be the class of positive increasing on [1,+∞) functions l such that l((1+o(1))x)=(1+o(1))l(x) (x→+∞). We assume that α is a concave function such that α(ex)∈L0 and function β∈L0 such that ∫+∞1α(x)/β(x)dx<+∞. In th...
The nonlocal problem for the differential-operator equation of the even order with the involution
In this paper, the problem with boundary non-self-adjoint conditions for differential-operator equations of the order $2n$ with involution is studied. Spectral properties of operator of the problem is investigated. By a...
Fourier coefficients associated with the Riemann zeta-function
We study the Riemann zeta-function $\zeta(s)$ by a Fourier series method. The summation of $\log|\zeta(s)|$ with the kernel $1/|s|^{6}$ on the critical line $\mathrm{Re}\; s = \frac{1}{2}$ is the main result of our inves...
Wiener weighted algebra of functions of infinitely many variables
In this article we consider a weighted Wiener type Banach algebra of infinitely many variables. The main result is a description of the spectrum of this algebra.