Results 21 to 30 of about 4,423 (156)
Mathematical Problems in Engineering, Volume 2022, Issue 1, 2022., 2022 This paper aims at studying optimality conditions and duality theorems of an approximate quasi weakly efficient solution for a class of nonsmooth vector optimization problems (VOP). First, a necessary optimality condition to the problem (VOP) is established by using the Clarke subdifferential.
Wenjing Li, Guolin Yu, S. K. Mishra
wiley +1 more source
On the Fock Kernel for the Generalized Fock Space and Generalized Hypergeometric Series
Journal of Function Spaces, Volume 2021, Issue 1, 2021., 2021 In this paper, we compute the reproducing kernel Bm,α(z, w) for the generalized Fock space Fm,α2ℂ. The usual Fock space is the case when m = 2. We express the reproducing kernel in terms of a suitable hypergeometric series 1Fq. In particular, we show that there is a close connection between B4,α(z, w) and the error function.
Jong-Do Park, Guozhen Lu
wiley +1 more source
Midpoint Inequalities via Strong Convexity Using Positive Weighted Symmetry Kernels
Journal of Function Spaces, Volume 2021, Issue 1, 2021., 2021 In the present research, we generalize the midpoint inequalities for strongly convex functions in weighted fractional integral settings. Our results generalize many existing results and can be considered as extension of existing results.
Hengxiao Qi +4 more
wiley +1 more source
Estimates on the Bergman Kernels in a Tangential Direction on Pseudoconvex Domains in C3
Abstract and Applied Analysis, 2018 Let Ω be a smoothly bounded pseudoconvex domain in C3 and assume that TΩreg(z0)
Sanghyun Cho
doaj +1 more source
Asymptotic expansion of the Bergman kernel for weakly pseudoconvex tube domains in C^2 [PDF]
, 1996 In this paper we give an asymptotic expansion of the Bergman kernel for certain weakly pseudoconvex tube domains of finite type in C^2. Our asymptotic formula asserts that the singularity of the Bergman kernel at weakly pseudoconvex points is essentially
Kamimoto, Joe
core +5 more sources
On generalized pseudoconvex functions
Journal of Mathematical Analysis and Applications, 1989 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tanaka, Yoshihiro +2 more
openaire +1 more source
Construction of P.S.H. functions on weakly pseudoconvex domains [PDF]
Duke Mathematical Journal, 1989 In vorliegenden Arbeit wird ein neuer Beweis für die Tatsache gegeben, daß jeder Randpunkt eines glatten pseudokonvexen Gebietes \(\Omega \subset \subset {\mathbb{C}}^ 2\), das von endlichem Typ ist, Peak-Punkt bzgl. A(\({\bar \Omega}\)):\(=C({\bar \Omega})\cap {\mathcal O}(\Omega)\) ist. Dies war vom \textit{E. Bedford} und dem ersten Autor [Ann. Math.
Fornaess, John Erik, Sibony, Nessim
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On Generalized Strongly p‐Convex Functions of Higher Order
Journal of Mathematics, Volume 2020, Issue 1, 2020., 2020 The aim of this paper is to introduce the definition of a generalized strongly p‐convex function for higher order. We will develop some basic results related to generalized strongly p‐convex function of higher order. Moreover, we will develop Hermite–Hadamard‐, Fejér‐, and Schur‐type inequalities for this generalization.
Muhammad Shoaib Saleem +5 more
wiley +1 more source
Pseudoconvexity properties of average cost functions
Numerical Algebra, Control & Optimization, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Enkhbat, R. +2 more
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Pseudoconvex domains spread over complex homogeneous manifolds
, 2012 Using the concept of inner integral curves defined by Hirschowitz we generalize a recent result by Kim, Levenberg and Yamaguchi concerning the obstruction of a pseudoconvex domain spread over a complex homogeneous manifold to be Stein.
A. Borel +23 more
core +3 more sources