Results 61 to 70 of about 360,320 (184)
A hypothesis about the rate of global convergence for optimal methods (Newtons type) in smooth convex optimization [PDF]
Компьютерные исследования и моделирование, 2018 In this paper we discuss lower bounds for convergence of convex optimization methods of high order and attainability of this bounds. We formulate a hypothesis that covers all the cases.
Alexander Vladimirovich Gasnikov +1 more
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Curvature-aided Incremental Aggregated Gradient Method
, 2017 We propose a new algorithm for finite sum optimization which we call the curvature-aided incremental aggregated gradient (CIAG) method. Motivated by the problem of training a classifier for a d-dimensional problem, where the number of training data is $m$
Nedic, Angelia +3 more
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Fekete-Szego Inequalities for Close-to-Convex Functions [PDF]
Proceedings of the American Mathematical Society, 1993 The author claims to extend work of the reviewer [Proc. Am. Math. Soc. 101, 89-95 (1987; Zbl 0635.35019) and Arch. Math. 49, 89-95 (1987; Zbl 0635.30020)] about the Fekete-Szegő problem of maximizing the functional \(| a_ 3-\mu a_ 2^ 2|\) (\(\mu\in\mathbb{R}\)) for close- to-convex functions of order \(\beta\geq 0\). Unfortunately he does not work with
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On Janowski Close-to-Convex Functions Associated with Conic Regions
International Journal of Analysis and Applications, 2020 In this work, we introduce and investigate a class of analytic functions which is a subclass of close-to-convex functions of Janowski type and related to conic regions.
Afis Saliu, Khalida Inayat Noor
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Janowski harmonic close-to-convex functions
International Journal of Mathematical Analysis, 2014 A harmonic mapping in the open unit disc D{double-struck} = {z||z| < 1} onto domain Ω* ⊂ ℂ is a complex valued harmonic function w = f(z) which maps D{double-struck} univalently Ω*. Each such mapping has a canonical representation f(z) = h(z) + g(z), where h(z) and g(z) are analytic in D{double-struck} and h(0) = g(0) = 0, and are called analytic part ...
Turhan, N. +2 more
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On close-to-convex functionsWe consider a new subclass $\widetilde{\mathcal{K}}_u$ of close-to-convex functions in the unit disk $\mathbb{D}:=\{z\in\mathbb{C}:|z|<1\}$. For this class, we obtain sharp estimates of the Fekete-Szegö problem, growth and distortion theorem, radius of convexity and estimate of the pre-Schwarzian norm.
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Subclasses of close-to-convex functions
Tamkang Journal of Mathematics, 2013 We introduce some subclasses of close-to-convex functions and obtain sharp results for coefficients, distortion theorems and argument theorems from which results of several authors follows as special cases.
Harjinder Singh, B.S. Mehrok
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An Arclength Problem for Close-to-Convex Functions [PDF]
Journal of the London Mathematical Society, 1964 Peer Reviewed ; http://deepblue.lib.umich.edu/bitstream/2027.42/135158/1/jlms0757 ...
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On Subclass of 𝑘-Uniformly Convex Functions of Complex Order Involving Multiplier Transformations
Abstract and Applied Analysis, 2012 We introduce a subclass of 𝑘-uniformly convex functions of order 𝛼 with negative coefficients by using the multiplier transformations in the open unit disk 𝑈={𝑧∈ℂ∶|𝑧|
Waggas Galib Atshan, Ali Hamza Abada
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Certain geometric properties of Mittag-Leffler functions
Journal of Inequalities and Applications, 2019 In this paper, some geometric properties of normalized Mittag-Leffler functions are investigated. We focus on starlikeness of order 2μ+η−1 $2\mu +\eta -1$ and convexity in the direction of imaginary axis.
Saddaf Noreen +2 more
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