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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Sharp Lp estimates and size of nodal sets of generalized Steklov eigenfunctions
Steklov-eigenfunctions 尖锐 Lp 估计 节点集
2023/4/13
We prove sharp Lp estimates for the Steklov eigenfunctions on compact manifolds with boundary in terms of their L2 norms on the boundary. We prove it by establishing Lp bounds for the harmonic extensi...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：On a generalized Sasa-Satsuma equation (II)
广义 萨萨-萨摩方程 达尔布变换 孤子解 Darboux变换
2023/5/8
In this talk, we will investigate the Darboux transformation and soliton solutions for a generalized Sasa-Satsuma (gSS) equation. We first give the construction of Darboux transformation, and then we ...
Generalized eigenfunctions and a Borel Theorem on the Sierpinski Gasket
Generalized eigenfunctions Borel Theorem Sierpinski Gasket
2015/12/10
There is a well developed theory (see [5, 9]) of analysis on certain types of fractal sets, of which the Sierpinski Gasket (SG) is the simplest non-trivial example. In this theory the fractals are vie...
A new generalization of generalized hypergeometric functions
generalized hypergeometric functions Complex Variables
2012/6/15
In this paper a natural generalization of the familiar H -function of Fox namely the I -function is proposed. Convergence conditions, various series representations, elementary properties and special ...
Differential subordination and superordination results for an operator associated with the generalized bessel functions
Generalized Bessel functions univalent functions Hadamard product subordination superordination
2012/4/23
We obtain many subordination and superordination results, using a new operator Bc ?f by means of the normalized form of the generalized Bessel functions of ?rst kind, which is defined as z [B^c_(\kapp...
Generalized quasi-Einstein manifolds with harmonic Weyl tensor
Generalized quasi-Einstein harmonic Weyl tensor
2011/2/28
In this paper we introduce the notion of generalized quasi–Einstein manifold, which
generalizes the concepts of Ricci soliton, Ricci almost soliton and quasi–Einstein manifolds. We prove that a compl...
Zeros of nonpositive type of generalized Nevanlinna functions with one negative square
Nevanlinna functions negative square
2010/11/15
A generalized Nevanlinna function $Q(z)$ with one negative square has precisely one generalized zero of nonpositive type in the closed extended upper halfplane. The fractional linear transformation d...
Rainwater-Simons-type convergence theorems for generalized convergence methods
Rainwater-Simons-type convergence theorems generalized convergence methods
2010/11/17
We extend the well-known Rainwater-Simons convergence theorem to various generalized convergence methods such as strong matrix summability, statistical convergence and almost convergence. In fact we ...
Stability of a Generalized Mixed Type Additive, Quadratic, Cubic and Quartic Functional Equation
Additive function Quadratic function Cubic function Quartic function Generalized Hyers-Ulam-Rassias stability Ulam-Gavruta-Rassias stability J.M. Rassias stability
2010/4/16
In this paper, we obtain the general solution and the generalized Hyers-Ulam-Rassias stability of the generalized mixed type of functional equation for fixed integers with ![]()
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In this paper we establish some generalized double inequalities involving the q- gamma function.
On Certain Subclasses of Meromorphically Multivalent Functions Associated with the Generalized Hypergeometric Function
Meromorphic function $p$-valent Subordination Hypergeometric function Hadamard product
2010/1/22
In the present paper, we investigate several inclusion relationships and other interesting properties of certain subclasses of meromorphically multivalent functions which are defined here by means of ...
Optimization of Positive Generalized Polynomials under $ \boldsymbol{l^p}$ Constraints
constrained optimization convex optimization combinatorial optimization subhomogeneous functions labeling
2009/1/23
The problem of maximizing a non-negative generalized polynomial of degree at most $p$ on the $l_p$-sphere is shown to be equivalent to a concave one. Arguments where the maximum is attained are charac...
On Smoothing of Parametric Minimax-Functions and Generalized Max-Functions via Regularization
parametric minimax problems semi-infinite optimization non-differentiable optimization convex parametric optimization duality theory regularization
2009/1/23
The paper deals with a smoothing procedure for parametric minimax-functions, arising from parameter dependend convex-concave games. In this framework generalized max-functions (i.e. maximum value func...
Characterizations of Generalized Monotone Nonsmooth Continuous Maps using Approximate Jacobians
Monotone maps quasimonotone maps pseudomonotone maps approximate Jacobians
2009/1/22
This paper presents necessary and/or sufficient conditions for a continuous map to be monotone, quasimonotone or pseudomonotone. The results are given in terms of approximate Jacobian matrices which r...
Certain Properties of Generalized Orlicz Spaces
Banach Function spaces generalized Orlicz class generalized Orlicz space Luxemburg norm Young function Young's inequality imbedding convergence separability
2010/1/22
In the context of generalized Orlicz spaces , the concepts of inclusion, convergence and separability are studied.