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In this paper we prove that the linear Koszul duality equivalence constructed in a previous paper provides a geometric realization of the Iwahori-Matsumoto involution of affine Hecke algebras.

表示论 · 数学 2013-01-21 Ivan Mirković , Simon Riche

We introduce the concept of quasi-coincidence of a fuzzy interval value with an interval valued fuzzy set. By using this new idea, we introduce the notions of interval valued $(\in,\ivq)$-fuzzy filters of pseudo $BL$-algebras and…

逻辑 · 数学 2009-02-22 J. Zhan , W. A. Dudek , Y. B. Jun

The aim of this study is to investigate less conservative conditions for parameterized linear matrix inequalities (PLMIs) that are formulated as nested fuzzy summations. Such PLMIs are commonly encountered in stability analysis and control…

最优化与控制 · 数学 2023-12-27 Do Wan Kim , Donghwan Lee

In this article we offer some modification of Monte-Carlo method for multiple parametric integral computation and solving of a linear integral Fredholm equation of a second kind (well posed problem). We prove that the rate of convergence of…

泛函分析 · 数学 2011-01-28 E. Ostrovsky , L. Sirota

In this paper, some Ostrowski type inequalities via Riemann-Liouville fractional integrals for h-convex functions, which are super-multiplicative or super-additive, are given. These results not only generalize those of Set (2012) and Tunc…

泛函分析 · 数学 2012-11-21 Wenjun Liu

New identity for fractional integrals have been defined. By using of this identity, we obtained new estimates on generalization of Hadamard, Ostrowski and Simpson type inequalities for s-convex, quasi-convex, m-convex functions via Riemann…

经典分析与常微分方程 · 数学 2012-08-09 Imdat Iscan

Let $X \hookrightarrow \overline{X}$ be an open immersion of smooth varieties over a field of characteristic $p>0$ such that the complement is a simple normal crossing divisor and let $\overline{Z} \subseteq Z \subseteq \overline{X}$ be…

数论 · 数学 2010-07-21 Atsushi Shiho

We establish symmetrization results for the solutions of the linear fractional diffusion equation $\partial_t u +(-\Delta)^{\sigma/2}u=f$ and itselliptic counterpart $h v +(-\Delta)^{\sigma/2}v=f$, $h>0$, using the concept of comparison of…

偏微分方程分析 · 数学 2013-03-13 Juan Luis Vázquez , Bruno Volzone

Fuzzy measures and Choquet asymmetric integral are considered here. As an application to economics some Core-Walras results are given.

泛函分析 · 数学 2018-04-12 Anna Rita Sambucini

In this paper we consider a new kind of inequality related to fractional integration, motivated by Gressman's paper. Based on it we investigate its multilinear analogue inequalities. Combining with the Gressman's work on multilinear…

泛函分析 · 数学 2016-06-17 Ting Chen

In this paper, obtained some new class of Hermite-Hadamard and Hermite-Hadamard-Fejer type inequalities via fractional integrals for the p-hyperbolic convex functions. It is shown that such inequalities are simple consequences of…

泛函分析 · 数学 2019-10-22 Silvestru Sever Dragomir , Berikbol T. Torebek

In this study, we establish a new integral inequalities of Hermite-Hadamard type for $s$-convexity via Katugampola fractional integral. This generalizes the Hadamard fractional integrals and Riemann-Liouville into a single form. We show…

综合数学 · 数学 2019-11-25 Ohud Almutairi , Adem Kilicman

In this paper, first we have established Hermite- Hadamard's inequalities for preinvex functions via fractional integrals. Second we extend some estimates of the right side of a Hermite- Hadamard type inequality for preinvex functions via…

经典分析与常微分方程 · 数学 2014-03-04 Imdat Iscan

The analog of the Schauder inequality for closed surfaces in Euclidean spaces is obtained in this article.

微分几何 · 数学 2007-06-18 Andrei Bodrenko

We describe the relation between integrable Kondo problems in products of chiral $SU(2)$ WZW models and affine $SU(2)$ Gaudin models. We propose a full ODE/IM solution of the spectral problem for these models.

高能物理 - 理论 · 物理学 2021-11-30 Davide Gaiotto , Ji Hoon Lee , Benoit Vicedo , Jingxiang Wu

In the paper, the authors establish some interesting identities and inequalities involving the extended Weyl type fractional integrals.

偏微分方程分析 · 数学 2017-05-17 Praveen Agarwal , Mohamed Jleli , Feng Qi

In this paper, Lyapunov type inequality is establish for fractional boundary value problem involving the k-Prabhakar fractional derivative.

经典分析与常微分方程 · 数学 2017-02-07 Narayan G. Abuj , Deepak B. Pachpatte

In this paper, it is a fuction that is a GA-convex differentiable for a new identity. As a result of this identity, some new and general integral inequalities for differentiable GA-convex functions are obtained.

经典分析与常微分方程 · 数学 2016-08-06 İmdat İşcan , Sercan Turhan

Pseudo equality algebras were initially introduced by Jenei and $\rm K\acute{o}r\acute{o}di$ as a possible algebraic semantic for fuzzy type theory, and they have been revised by Dvure\v{c}enskij and Zahiri under the name of JK-algebras. In…

逻辑 · 数学 2016-04-21 Lavinia Corina Ciungu

In this paper we prove some analogue of Wiman's type inequality for random analytic functions in the polydisc $\mathbb{D}^p=\{z\in\mathbb{C}^p\colon |z_j|<1, j\in\{1,\ldots,p\}\},\ p\in\mathbb{Z}_+$. The obtained inequality is sharp.

复变函数 · 数学 2016-02-16 A. O. Kuryliak , O. B. Skaskiv , S. R. Skaskiv