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Extreme Points

EXTREME POINTS AND AFFINE EQUIVALENCE

EXTREME POINTS AND AFFINE EQUIVALENCE

... The purpose of this note is to use the notions of extreme points and affine transformations — which are studied in the file affine-convex.pdf — to prove that certain standard geometrical figures are not ...

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Fast SVM Training Using Approximate Extreme Points

Fast SVM Training Using Approximate Extreme Points

... approximate extreme points support vector machine (AESVM), that is aimed at overcoming this ...and extreme points is used to compute the representative set in kernel ...

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On extreme points and product properties of a new subclass of p harmonic functions

On extreme points and product properties of a new subclass of p harmonic functions

... In this paper, we introduce a new subclass of p-harmonic functions and investigate the univalence and sense-preserving, extreme points, distortion bounds, convex combination, neighborhoods of mappings ...

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Quaternion Doubly Stochastic Matrices Over Quaternion Vector Spaces and the Extreme Points on a Birkhoffs Theorem

Quaternion Doubly Stochastic Matrices Over Quaternion Vector Spaces and the Extreme Points on a Birkhoffs Theorem

... CONCLUSION In this paper we discuss about he extreme points of this convex set of matrices and convex subsets of H are identified for which these extreme matrices are of a permutation ma[r] ...

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Extreme points and convolution properties of some classes of multivalent functions

Extreme points and convolution properties of some classes of multivalent functions

... This paper deals with the extreme points of closed convex hulls of the classes of multivalent functions related to Ruscheweyh derivatives and then these are used to determine the coeffic[r] ...

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Extreme points and rotundity of Orlicz Sobolev spaces

Extreme points and rotundity of Orlicz Sobolev spaces

... It is well known that Sobolev spaces have played essential roles in solving nonlinear par- tial differential equations. Orlicz-Sobolev spaces are generalized from Sobolev spaces. In this paper, we present sufficient and ...

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On a Subclass of Harmonic Convex Functions of Complex Order

On a Subclass of Harmonic Convex Functions of Complex Order

... We introduce and study a subclass of harmonic convex functions of complex order. Coefficient bounds, extreme points, distortion bounds, convolution conditions, and convex combination are determined for ...

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Symmetrization of the Classical “Attack-defense” Model

Symmetrization of the Classical “Attack-defense” Model

... Abstract: The article considers Germeyer’s “doubled” classic “attack-defense” game, which is symmetrical for the participants in the sense that in one game each participant is an “attack” party and in the other game each ...

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Maximum Power Point Tracking for PV Array under Partially Shaded Conditions Based on Glowworm Swarm Optimization Algorithm

Maximum Power Point Tracking for PV Array under Partially Shaded Conditions Based on Glowworm Swarm Optimization Algorithm

... multiple extreme points of P-U output characteristic curve is analyzed based on the simulation model of partially shaded PV array, and it is applied to the initialization of GSO algorithm, which can find ...

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Vol 7, No 6 (2016)

Vol 7, No 6 (2016)

... Some results like coefficient estimation, radius of convexity, closure theorem, extreme points, convolution and inclusion property of p-valent functions are investigated.. Keywords: an[r] ...

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Digital Watermarking of Audio in Time Domain Multiple Bit Plane based on Chaotic Scrambling

Digital Watermarking of Audio in Time Domain Multiple Bit Plane based on Chaotic Scrambling

... their extreme. The embedding of binary watermark is done into the extreme points of last IMF of all the segments concatenated together through Quantisation Index Modulation (QIM) embedding ...

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Uniform rotundity in every direction of Orlicz Sobolev spaces

Uniform rotundity in every direction of Orlicz Sobolev spaces

... Chen and Hu discussed the extreme points and rotundity of Orlicz-Sobolev spaces with maximum norm and Luxemburg norm (see [, ]). Garkavi first proposed the concept of uniform rotundity in every direction ...

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On Harmonic Functions Defined by Derivative Operator

On Harmonic Functions Defined by Derivative Operator

... Coefficient conditions, such as distortion bounds, convolution con–– n, λ, α, are obditions, convex combination, extreme points, and neighborhood for the class MH tained.. This is an open [r] ...

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8. Certain New Classes of Analytic Functions Defined by Using the Salagean Operator

8. Certain New Classes of Analytic Functions Defined by Using the Salagean Operator

... We provide coefficient inequalities, dis- tortion theorems, extreme points and radius of close-to-convexity, starlikeness and convexity of these classes.. Analytic functions; Salagean oper[r] ...

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A Subclass of Harmonic Functions Associated with Wright’s Hypergeometric Functions

A Subclass of Harmonic Functions Associated with Wright’s Hypergeometric Functions

... For a compact family, the maximum or minimum of the real part of any continuous linear functional occurs at one of the extreme points of the closed convex hull. Un- like many other classes, characterized by ...

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Certain properties of a subclass of harmonic convex functions  of complex order defined by Multiplier transformations

Certain properties of a subclass of harmonic convex functions  of complex order defined by Multiplier transformations

... In this paper, we investigate some properties of harmonic univalent functions of complex order using multiplier transformation.Such as Coefficient bounds, extreme points, distortion bounds, convolution ...

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Ranking Efficient DMUs Using the Ideal point and Norms

Ranking Efficient DMUs Using the Ideal point and Norms

... DMUs, extreme points and the others, also they are capable of ranking the whole DMUs at special cases that previous methods could not ranked them or they can be ranked with hard ...

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Harmonic functions with varying coefficients

Harmonic functions with varying coefficients

... the extreme points theory we obtain necessary and sufficient convolution conditions, coefficients estimates, distortion theorems, and integral mean inequalities for these classes of ...

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A New Subclass of Analytic Functions Involving Al Oboudi Differential Operator

A New Subclass of Analytic Functions Involving Al Oboudi Differential Operator

... The main object of this paper is to introduce and investigate a new subclass of normalized analytic functions in the open unit disc U which is defined by Al-Oboudi differential operator. Coefficient inequalities, ...

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Geometric Properties of Some Class of Univalent Functions by Fixing Finite Many Coefficients

Geometric Properties of Some Class of Univalent Functions by Fixing Finite Many Coefficients

... Abstract. In this article we defined a new subclass of univalent functions normalized with finitely many fixed points. Certain properties of the defined subclass of univalent functions like coefficients ...

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