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We proof existence theorems for the Dirichlet problem for hypersurfaces of constant special Lagrangian curvature in Hadamard manifolds. The first results are obtained using the continuity method and approximation and then refined using two…

微分几何 · 数学 2009-08-26 Graham Smith

Base on some simple facts of Hadamard product, characterizations of positive definite preserving linear transformations on real symmetric matrix spaces with an additional assumption "$\ra T(E_{ii})=1, i=1,2,..., n$" or "$T(A)>0\to A> 0$",…

环与代数 · 数学 2010-08-10 Huynh Dinh Tuan , Tran Thi Nha Trang , Doan The Hieu

We obtain a Landau -- Hadamard type inequality for mappings defined on the whole real axis and taking values in Riemannian manifolds. In terms of an auxiliary convex function, we find conditions under which the boundedness of covariant…

经典分析与常微分方程 · 数学 2017-08-08 Igor Parasyuk

In this paper, we have established some generalized integral inequalities of Hermite-Hadamard-Fej\'er type for generalized fractional integrals. The results presented here would provide generalizations of those given in earlier works.

经典分析与常微分方程 · 数学 2017-06-20 Abdullah Akkurt , Hüseyin Yildirim

Szalai et al. (SIAM J. on Sci. Comp. 28(4), 2006) gave a general construction for characteristic matrices for systems of linear delay-differential equations with periodic coefficients. First, we show that matrices constructed in this way…

动力系统 · 数学 2015-03-17 Jan Sieber , Robert Szalai

Convolutions or Hadamard products of analytic functions is a well explored area of research and many nice results are available in literature. On the other hand, very little is known in general about the convolutions of univalent harmonic…

复变函数 · 数学 2019-11-07 Chinu Singla , Sushma Gupta , Sukhjit Singh

In this paper, we derive a new proof on some sharp double integral inequalities of the Hermite-Hadamard type. Our approach is mainly based on well-known Taylor's theorem with the integral remainder.

泛函分析 · 数学 2008-05-06 Vu Nhat Huy , Wenjun Liu , Quoc Anh Ngo

The aim of this paper is to present an extragradient method for variational inequality associated to a point-to-set vector field in Hadamard manifolds and to study its convergence properties. In order to present our method the concept of…

最优化与控制 · 数学 2018-04-26 E. E. A. Batista , G. C. Bento , O. P. Ferreira

In this paper, we obtained some new estimates on generalization of Hadamard, Ostrowski and Simpson-like type inequalities for harmonically quasi-convex functions via Riemann Liouville fractional integral.

经典分析与常微分方程 · 数学 2014-01-14 İmdat İscan

It is well-known that the evaluation of the permanent of an arbitrary $(-1,1)$-matrix is a formidable problem. Ryser's formula is one of the fastest known general algorithms for computing permanents. In this paper, Ryser's formula has been…

组合数学 · 数学 2013-11-12 José Andrés Armario

In this paper we generalize the known DDVV-type inequalities for real (skew-)symmetric and complex (skew-)Hermitian matrices to arbitrary real, complex and quaternionic matrices. Inspired by the Erd\H{o}s-Mordell inequality, we establish…

微分几何 · 数学 2020-11-30 Jianquan Ge , FaGui Li , Yi Zhou

In this paper some Hadamard-type inequalities for convex functions of 3-variables on a rectanguler box are given. We also define a mapping related to convex functions on a rectanguler box.

经典分析与常微分方程 · 数学 2011-04-01 M. E. Ozdemir , Ahmet Ocak Akdemir

In this paper, we establish several new convex dominated functions and then we obtain new Hadamard type inequalities.

经典分析与常微分方程 · 数学 2012-02-10 M. Emin Ozdemir , Havva Kavurmaci , Mevlut Tunc

In this paper, a new class of convex functions as a generalization of convexity which is called (h-m)-convex functions and some properties of this class is given. We also prove some Hadamard's type inequalities.

经典分析与常微分方程 · 数学 2011-04-01 M. E. Ozdemir , Ahmet Ocak Akdemir , Erhan Set

This paper aims to characterize the function appearing in the weighted Hermite-Hadamard inequality. We provide improved inequalities for the weighted means as applications of the obtained results. Modifications of the weighted…

综合数学 · 数学 2023-01-02 Shigeru Furuichi , Nicuşor Minculete , Hamid Reza Moradi

In this paper we obtain quite general and definitive forms for Hardy-Littlewood type inequalities. Moreover, when restricted to the original particular cases, our approach provides much simpler and straightforward proofs and we are able to…

In this paper, we first get a criterion formula for whether a differential form is holomorphic with respect to the generalized complex structure induced by $\epsilon$. Next, we get the local extensions of $\overline\partial$-closed forms on…

微分几何 · 数学 2018-03-13 Kang Wei

In this paper we achieve some new Hadamard type inequalities using elementary well known inequalities for functions whose first derivatives absolute values are s-geometrically and geometrically convex. And also we get some applications for…

经典分析与常微分方程 · 数学 2013-02-06 Mevlut Tunc , Ibrahim Karabayir

This monograph is associated with the renowned Hermite-Hadamard's integral inequality of $2$-variables on the co-ordinates. In this article we established several inequalities of the type of Hadamard's for the mappings whose absolute values…

泛函分析 · 数学 2015-08-21 M. I. Bhatti , M. Muddassar , F. Yasin

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