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convex combinations

Generalization Bounds and Complexities Based on Sparsity and Clustering for Convex Combinations of Functions from Random Classes

Generalization Bounds and Complexities Based on Sparsity and Clustering for Convex Combinations of Functions from Random Classes

... for convex combinations of functions from random classes with certain ...or convex combinations of indicator functions over sets with finite VC dimension, generate classifier functions that ...

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Sequential convex combinations of multiple adaptive lattice filters in cognitive radio channel identification

Sequential convex combinations of multiple adaptive lattice filters in cognitive radio channel identification

... affine combinations, where the mixing coefficient is restricted to be nonnegative and sum up to one and the condition on the mixing parameter is relaxed, allow- ing it to be negative respectively ...the ...

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Compositions and convex combinations of asymptotically regular firmly nonexpansive mappings are also asymptotically regular

Compositions and convex combinations of asymptotically regular firmly nonexpansive mappings are also asymptotically regular

... Because of Minty’s classical correspondence between firmly nonexpansive mappings and maximally monotone operators, the notion of a firmly nonexpansive mapping has proven to be of basic importance in fixed point theory, ...

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Convex combinations, barycenters and convex functions

Convex combinations, barycenters and convex functions

... In this section, we show the connection between the convex combinations and the convex functions. The basic form of Jensen’s inequality is obtained using the assumption of the equality of ...

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On the radius of univalence of convex combinations of analytic functions

On the radius of univalence of convex combinations of analytic functions

... ON THE RADIUS OF UNIVALENCE OF CONVEX COMBINATIONS OF ANALYTIC FUNCTIONS KHALIDA I.. ALOBOUDI and NAEELA ALDIHAN Mathematics Department Science College of Education for Girls Malaz, Sitt[r] ...

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Convex Combinations of Minimal Graphs

Convex Combinations of Minimal Graphs

... that h g is a conformal univalent mapping of D onto a CID domain. Thus, by Theorem 2.2, f is a harmonic univalent mapping with f D being convex in the imaginary direction. We can now apply the Weierstrass ...

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Hyperbolic monotonicity in the Hilbert ball

Hyperbolic monotonicity in the Hilbert ball

... Our proof of Theorem 1.1 uses finite dimensional projections. The separable case is due to Itai Shafrir (see [19, Theorem 2.3]). This proof is presented in Section 3, which also contains a discussion of continuous ...

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Geometry of Finite Dimensional Moment Spaces and Applications to Orthogonal Polynomials

Geometry of Finite Dimensional Moment Spaces and Applications to Orthogonal Polynomials

... Since in this case all the supporting -a planes to Dn are parallel to the x -axis, the linear manifold n Lx will contain, in add.i tion to the simplex of convex combinations of the point[r] ...

98

Optimal bounds for the Neuman Sándor mean in terms of the first Seiffert and quadratic means

Optimal bounds for the Neuman Sándor mean in terms of the first Seiffert and quadratic means

... Inspired by inequalities (.) and (.), in this paper, we present the optimal upper and lower bounds for the Neuman-Sándor mean M(a, b) in terms of the geometric convex combinations of the first Seiffert ...

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Vol 2, No 12 (2011)

Vol 2, No 12 (2011)

... I n this paper, we study a new class of harmonic univalent functions associated with modified generalized – derivative operator in the open unit disk. We obtain numerous sharp results including coefficient conditions, ...

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Extension of Jensen’s inequality to affine combinations

Extension of Jensen’s inequality to affine combinations

... is convex if it contains all binomial convex combinations in C, that is, the combinations αa + βb of points a, b ∈ C and non-negative coefficients α, β ∈ R of the sum α + β = ...The ...

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On Convexity and Approximating the Perimeter of an Ellipse

On Convexity and Approximating the Perimeter of an Ellipse

... Classical and relative recent evaluations and inequalities for the perimeter of the ellipse are recalled and proved in [1]-[3]. We continue this type of results by writing the perimeter of the ellipse as a sum of an ...

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fis convex if its epigraph is a convex set, andf is closed

fis convex if its epigraph is a convex set, andf is closed

... For nonsmooth programs, many approaches have been presented so far and they are often restricted to the convex unconstrained case. In general, the various approaches are based on combinations of the ...

6

Fixed-Ratio Combinations

Fixed-Ratio Combinations

... fixed-ratio combinations (FRCs) of basal insu- lin and a GLP-1 receptor agonist: insulin glargine/lixisenatide 3:1 ratio (iGlarLixi [Soliqua]) and insulin degludec/liraglutide ...

5

Some properties of harmonic convex and harmonic quasi-convex functions

Some properties of harmonic convex and harmonic quasi-convex functions

... of convex function which is known as harmonically convex ...harmonically convex functions which implies that harmonically quasi-convex ...

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ℂ convexity in infinite dimensional
  Banach spaces and
applications to Kergin interpolation

ℂ convexity in infinite dimensional Banach spaces and applications to Kergin interpolation

... Since linear convexity and C -convexity are defined by means of complex lines and hyperplanes, these concepts are equally natural in a general complex Banach space (or, for that matter, any complex locally convex ...

9

On Hadamard and Fej\'{e}r-Hadamard inequalities for Caputo $\small{k}$-fractional derivatives

On Hadamard and Fej\'{e}r-Hadamard inequalities for Caputo $\small{k}$-fractional derivatives

... define convex functions, Hadamard inequality for convex functions, Fej´ er–Hadamard inequality for convex functions, Caputo fractional derivatives and finally Caputo k–fractional ...

13

Spiral like integral operators

Spiral like integral operators

... and Mehrok, T.J.S.: On Univalence of certain analytic functions associated wih starlike, convex and close-to-convex functions, Indian J.. BERNARDI, S.D.: Convex and starlike univalent fu[r] ...

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Convex functions

Convex functions

... First Set of criteria for convexity.. LISTGFHGURES Figure 1... To show that f is convex, we have to verify that the following inequality holds.. i displays a geometric interpTetatio[r] ...

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A note on generalized convex functions

A note on generalized convex functions

... not convex, prove that every η-convex function defined on rectangle is coordinate η-convex but not vice versa, define the coordinate (η 1 , η 2 ...

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