Deterding, Stephen
Published in
Analysis and Mathematical Physics

Let U be an open subset of C\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathbb {C}$$\end{document} with boundary point x0\documentclass[12pt]{minimal} \usepackage{...

Salimov, R. B.
Published in
Russian Mathematics

We study behavior of singular integral at neighborhood of the point at infinity. Its density satisfies the Hölder condition on the any finite part of the real axis, and at the infinity point it vanishes as power of logarithm with exponent lesser than −1.

Panday, B. Jaiswal, J. P.
Published in
Numerical Analysis and Applications

The aim of this article is to investigate the local convergence analysis of the multi-step Homeier-like approach in order to approximate the solution of nonlinear equations in Banach spaces, which fulfilled the Lipschitz as well as Hölder continuity condition. The Hölder condition is more relax than Lipschitz condition. Also, the existence and uniq...

Kats, B. A. Mironova, S. R. Pogodina, A. Yu.
Published in
Russian Mathematics

We consider singular integral equations on non-smooth rectifiable curves and on certain classes of curves of infinite length.

Salimov, R. B.
Published in
Lobachevskii Journal of Mathematics

We study the behavior of singular integral along the real axis in the neighborhood of the point at infinity, when its density satisfy Hölder condition in any finite part of the real axis and is continuous function in the neighborhood of the point at infinity, which decreases with the order of decreasing same as the lower then the minus first power ...

Bahoura, Samy Skander

We give blow-up analysis for a Brezis and Merle's problem with Dirichlet and Holderian condition. Also, we derive a compactness criterion.

Vetokhin, A. N.
Published in
Mathematical Notes

The properties of topological entropy as a function on a compact family of maps of a compact metric space are studied.

Salimov, R. B.
Published in
Russian Mathematics

We study properties of a singular integral with the Hilbert kernel at a fixed point, where the modulus of continuity of its density has logarithmic order, and the integral is not necessarily convergent.

Ostrovska, Sofiya
Published in
Journal of Inequalities and Applications

The limit q-Bernstein operator Bq emerges naturally as a modification of the Szász-Mirakyan operator related to the Euler probability distribution. At the same time, this operator serves as the limit for a sequence of the q-Bernstein polynomials with 0

Cabuzel, Catherine