Zobrazeno 1 - 10
of 241
pro vyhledávání: '"26D20"'
Autor:
Soltanov, Kamal N., Sert, Ugur
In this article, we study the properties of a class of functional spaces which arise from the investigation of nonlinear differential equations. We establish some integral inequalities then by applying these inequalities, we prove some lemmas and the
Externí odkaz:
http://arxiv.org/abs/2310.06478
The aim of this paper is twofold. In the first part of this paper we focus on a functional involving a weighted curvature integral and the quermassintegrals. We prove upper and lower bounds for this functional in the class of convex sets, which provi
Externí odkaz:
http://arxiv.org/abs/2309.14191
Autor:
Latif Muhammad Amer
Publikováno v:
Demonstratio Mathematica, Vol 57, Iss 1, Pp 82-215 (2024)
In this study, some mappings related to the Fejér-type inequalities for GAGA-convex functions are defined over the interval [0,1]{[}0,1]. Some Fejér-type inequalities for GAGA-convex functions are proved using these mappings. Properties of these ma
Externí odkaz:
https://doaj.org/article/87e403b5a48d403a86e537ede871835e
Autor:
Pinelis, Iosif
Based on an apparently new Lagrange-type identity, a Cauchy--Schwarz-type inequality is proved. The mentioned identity is obtained by using certain ``macro'' variables; it is hoped that such a method can be used to prove or produce other identities a
Externí odkaz:
http://arxiv.org/abs/2303.03310
Autor:
Sadov, Sergey
A review of author's work on cyclic inequalities of Shapiro-Diananda type and related optimization problems is presented.
Comment: 22 pp
Comment: 22 pp
Externí odkaz:
http://arxiv.org/abs/2212.05968
Autor:
Sadov, Sergey
The function $\inf_n nx^{1/n}$ has the asymptotics $eu+e d^2(u)/(2u)+O(1/u^2)$ as $x\to\infty$, where $u=\log x$ and $d(u)$ is the distance from $u$ to the nearest integer. We generalize this observation. First, the curves $y=nx^{1/n}$ can be written
Externí odkaz:
http://arxiv.org/abs/2210.07614
Autor:
Sadov, Sergey
Let $\mathbf{x}=(x_1,\dots,x_n)$ be an $n$-tuple of positive real numbers and the sequence $(x_i)_{i\in\mathbb{Z}}$ be its $n$-periodic extension. Given an $n$-tuple $\mathbf{r}=(r_1,\dots,r_n)$ of positive integers, let $a_i$ be the arithmetic mean
Externí odkaz:
http://arxiv.org/abs/2210.00360
This preprint is a text for students and teachers on inequalities. Some standard topics are covered on application of calculus to inequality proving. Many examples are considered, stated, solved or partially solved. Some problems are standard, but so
Externí odkaz:
http://arxiv.org/abs/2209.02585
Autor:
Nantomah, Kwara
Publikováno v:
Arab Journal of Mathematical Sciences, 2022, Vol. 30, Issue 1, pp. 57-66.
Externí odkaz:
http://www.emeraldinsight.com/doi/10.1108/AJMS-09-2021-0230
Autor:
Behrens, Brian, Dhar, Sougata
We derive Lyapunov-type inequalities for general third order nonlinear equations involving multiple $\psi$-Laplacian operators of the form \begin{equation*} (\psi_{2}((\psi_{1}(u'))'))' + q(x)f(u) = 0, \end{equation*} where $\psi_{2}$ and $\psi_{1}$
Externí odkaz:
http://arxiv.org/abs/2204.07529