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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Heintze Karcher type inequalities on capillary hypersurfaces in hyperbolic space
双曲空间 毛细管超表面 海因茨·卡彻型不等式
2023/4/23
In this talk, I will introduce our recent result on Heintze Karcher type inequalities for capillary hypersurfaces supported on different types of umbilical hypersurfaces in hyperbolic space. I will in...
INTEGRAL IDENTITIES AND MINKOWSKI TYPE INEQUALITIES INVOLVING SCHOUTEN TENSOR
INTEGRAL IDENTITIES MINKOWSKI TYPE INEQUALITIES INVOLVING SCHOUTEN TENSOR
2014/4/3
New formulas for the integration of the k-th elementary symmetric functions of the Shouten tensor are derived and applied to deduce some
Minkowski type inequalities.
A Note on Coulhon type inequalities
Sobolev inequalities modulus of continuity symmetrization isoperimetric inequalities interpolation
2012/6/29
T. Coulhon introduced an interesting parametrization of Sobolev inequalities. We characterize Coulhon type inequalities in terms of rearrangement inequalities.
On Some New Hadamard-Type Inequalities for Coordinated Quasi-convex Functions
Quasi-convex functions Holder Inequality Power Mean Inequality co-ordinates Lipschitzian function
2011/9/15
Abstract: In this paper, we establish some Hadamard-type inequalities based on coordinated quasi-convexity. Also we define a new mapping associated to coordinated convexity and we prove some propertie...
Self-improving properties for abstract Poincaré type inequalities
Self-improving properties BMO and Lipschitz spaces John-Nirenberg inequalities generalized Poincare-Sobolev inequalities
2011/9/2
Abstract: We study self-improving properties in the scale of Lebesgue spaces of generalized Poincar\'e inequalities in the Euclidean space. We present an abstract setting where oscillations are given ...
The Hadamard Type Inequalities for M-Convex Functions
The Hadamard Type Inequalities M-Convex Functions
2010/11/11
In this paper we obtained some new Hadamard-Type inequalities for functions whose derivatives absolute values m-convex. Some applications to special means of real numbers are given.
Best constants in Rosenthal-type inequalities and the Kruglov operator
Rosenthal-type inequalities the Kruglov operator
2010/11/11
Let $X$ be a symmetric Banach function space on $[0,1]$ with the Kruglov property, and let $\mathbf{f}=\{f_k\}_{{k=1}}^n$, $n\ge1$ be an arbitrary sequence of independent random variables in $X$. Thi...
Some Hadamard-Type Inequalities for Coordinated P-Convex Functions and Godunova-Levin Functions
Hadamard’s inequality co-ordinated convex Godunova-Levin functions
2011/3/1
In this paper we established new Hadamard-type inequalities for functions that co-ordinated Godunova-Levin functions and co-ordinated P−convex functions, therefore we proved a new inequality inv...
Hermite-Hadamard Type Inequalities via (α,m)- Convexity
Convexity Hermite-Hadamard inequality H¨older’s integral inequality
2010/12/13
In this paper, we establish some integral inequalities for functions whose second derivatives in absolute value are ( ,m)− convex.
On the Hadamard type inequalities involving product of two convex functions on the co-ordinates
Convex, s− convex Co-ordinates Product of functions Hadamard’s inequality
2010/12/9
In this paper some Hadamard-type inequalities for product of convex funcitons of 2−variables on the co-ordinates are given.
On Hadamard-Type Inequalities for Co--ordinated r-Convex Functions
r− Convex Hadamard-Type Inequalities Co–ordinates
2010/12/9
In this paper we defined r−convexity on the coordinates and we established some Hadamard-Type Inequalities.
Tur醤-Type Inequalities for Some $q$-Special Functions
Turan's inequality $q$-polygamma functions $q$-zeta function
2010/1/22
In this paper, we give new Turán-type inequalities for some q-special functions, using a q- analogue of a generalization of the Schwarz inequality.
Non-homogeneous Bell-type Inequalities for Two- and Three-qubit States
Non-homogeneous Bell-type Inequalities Two- and Three-qubit States
2010/4/9
A systematic approach is presented to construct non-homogeneous two- and three-qubit Bell-type inequalities. When projector-like terms are subtracted from homogeneous two-qubit CHSH polynomial, non-ho...
Hardy-Type Inequalities On The Real Line
Real Hardy's inequality Inequalities in $H_1$ spaces
2010/1/22
We prove a certain type of inequalities concerning the integral of the Fourier transform of a function integrable on the real line.
We consider Poincar?type inequalities of integral form for variable exponents. We give conditions under which these inequalities do not hold as well as conditions under which they hold.