Results 131 to 140 of about 10,275,715 (164)

An integral formula for holomorphic functions on strictly pseudoconvex hypersurfaces

Duke Mathematical Journal, 1975
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Weak pre-orthogonal adaptive Fourier decomposition in Bergman spaces of pseudoconvex domains

Complex Variables and Elliptic Equations, 2021
We study a weak greedy type algorithm called the weak pre-orthogonal adaptive Fourier decomposition (WPOAFD) for the Bergman space on a bounded pseudoconvex domain Ω with smooth boundary.
Hio Tong Wu, I. Leong, Tao Qian
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The Squeezing Function: Exact Computations, Optimal Estimates, and a New Application

Journal of Geometric Analysis, 2023
We present a new application of the squeezing function sD\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength ...
Gautam Bharali, Diganta Borah, Sushil Gorai   +2 more
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On the convexifiability of pseudoconvex C2-functions [PDF]

Mathematical Programming, 1980
We present new criteria that characterize functions which are convex transformable by a suitable strictly increasing function. We concentrate on twice continuously differentiable pseudoconvex and strictly pseudoconvex functions, and derive conditions which are both necessary and sufficient for these functions to be convex transformable.
Israel Zang, Siegfried Schaible
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Online Distributed Optimization With Strongly Pseudoconvex-Sum Cost Functions

IEEE Transactions on Automatic Control, 2020
In this paper, the problem of online distributed optimization is investigated, where the sum of locally dynamic cost functions is considered to be strongly pseudoconvex.
Kaihong Lu, Gangshan Jing, Long Wang
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On the Pseudoconvexity of a Quadratic Fractional Function

Optimization, 2002
In this paper we give a necessary and sufficient condition for the pseudoconvexity of a function f which is the ratio of a quadratic function over an affine function. The obtained results allow to suggest a simple algorithm to test the pseudoconvexity of f and also to characterize the pseudoconvexity of the sum of a linear and a linear fractional ...
Crouzeix, Jean-Pierre, Cambini, A., Martein, L.   +2 more
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Estimates for the Squeezing Function Near Strictly Pseudoconvex Boundary Points with Applications

, 2018
An extension of the estimates for the squeezing function of strictly pseudoconvex domains obtained recently by Fornæss and Wold (Complex analysis and geometry: KSCV10, Gyeongju, Korea, August 2014, vol 144, pp 135–147, 2015) is applied to derive sharp ...
N. Nikolov, Maria Trybuła
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Second-Order Characterizations of Convex and Pseudoconvex Functions [PDF]

Journal of Applied Analysis, 2003
Summary: The present paper gives characterizations of radially u.s.c. convex and pseudoconvex functions \(f: X\to\mathbb{R}\) defined on a convex subset \(X\) of a real linear space \(\mathbb{E}\) in terms of first- and second-order upper Dini-directional derivatives. Observing that the property \(f\) radially u.s.c.
IVANOV, IVAN GINCHEV, VSEVOLOD I. IVANOV
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Quasiconvex, pseudoconvex, and strictly pseudoconvex quadratic functions

Journal of Optimization Theory and Applications, 1981
The purpose of this paper is twofold. Firstly, criteria for quasiconvex and pseudoconvex quadratic functions in nonnegative variables of Cottle, Ferland, and Martos are derived by specializing criteria proved by the author. We do not make use of the concept of positive subdefinite matrices.
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