Results 21 to 30 of about 1,628,973 (292)

On approximating minimizers of convex functionals with a convexity constraint by singular Abreu equations without uniform convexity [PDF]

open access: yesProceedings of the Royal Society of Edinburgh: Section A Mathematics, 2019
We revisit the problem of approximating minimizers of certain convex functionals subject to a convexity constraint by solutions of fourth order equations of Abreu type.
N. Le
semanticscholar   +1 more source

On some geometric results for generalized k-Bessel functions

open access: yesDemonstratio Mathematica, 2023
The main aim of this article is to present some novel geometric properties for three distinct normalizations of the generalized kk-Bessel functions, such as the radii of uniform convexity and of α\alpha -convexity.
Toklu Evrim
doaj   +1 more source

Geometric Properties of a Certain Class of Mittag–Leffler-Type Functions

open access: yesFractal and Fractional, 2022
The main objective of this paper is to establish some sufficient conditions so that a class of normalized Mittag–Leffler-type functions satisfies several geometric properties such as starlikeness, convexity, close-to-convexity, and uniform convexity ...
Hari M. Srivastava   +3 more
doaj   +1 more source

Radii of uniform convexity of some special functions [PDF]

open access: yesTurkish Journal of Mathematics, 2018
In this investigation our main aim is to determine the radius of uniform convexity of the some normalized q-Bessel and Wright functions. Here we consider six different normalized forms of q-Bessel functions, while we apply three different kinds of ...
.Ibrah.im Aktacs, Evrim Toklu, H. Orhan
semanticscholar   +1 more source

Uniform Lipschitz-connectedness and metric convexity [PDF]

open access: yesCategories and General Algebraic Structures with Applications
In this paper we continue with our study of uniformly Lipschitz-connected metric spaces.   We obtain further properties of uniformly Lipschitz-connected metric spaces and then obtain a generalisation of a result due to Edelstein.
Paranjothi Pillay, Dharmanand Baboolal
doaj   +1 more source

The radius of uniform convexity of Bessel functions [PDF]

open access: yes, 2017
In this paper, we determine the radius of uniform convexity for three kinds of normalized Bessel functions of the first kind. In the cases considered the normalized Bessel functions are uniformly convex on the determined disks.
E. Deniz, R'obert Sz'asz
semanticscholar   +1 more source

Upper and lower bounds for the Bregman divergence

open access: yesJournal of Inequalities and Applications, 2019
In this paper we study upper and lower bounds on the Bregman divergence ΔFξ(y,x):=F(y)−F(x)−〈ξ,y−x〉 $\Delta_{\mathcal {F}}^{\xi }(y,x):=\mathcal {F}(y)-\mathcal {F}(x)- \langle \xi , y-x \rangle$ for some convex functional F $\mathcal {F}$ on a normed ...
Benjamin Sprung
doaj   +1 more source

Martingale transforms and complex uniform convexity [PDF]

open access: yesTransactions of the American Mathematical Society, 1986
Martingale transforms and Calderon-Zygmund singular integral operators are bounded as operators from L 2 ( L 1 ) {L_2}({L_1}) to L 2 (
Bourgain, J., Davis, W. J.
openaire   +1 more source

On Kolmogorov Entropy Compactness Estimates for Scalar Conservation Laws Without Uniform Convexity [PDF]

open access: yesSIAM Journal on Mathematical Analysis, 2018
In the case of scalar conservation laws $$ u_{t} + f(u)_{x}~=~0,\qquad t\geq 0, x\in\mathbb{R}, $$ with uniformly strictly convex flux $f$, quantitative compactness estimates - in terms of Kolmogorov entropy in ${\bf L}^{1}_{loc}$ - were established in ...
F. Ancona, O. Glass, K. Nguyen
semanticscholar   +1 more source

Characterizations of uniform convexity for differentiable functions

open access: yesApplicable Analysis and Discrete Mathematics, 2019
We consider convex functions in d real variables. For applications, for example in optimization, various strengthened forms of convexity have been introduced.
Osama Alabdali   +2 more
semanticscholar   +1 more source

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