Results 111 to 120 of about 11,297,589 (365)
On GT-convexity and related integral inequalities
AIMS Mathematics, 2020 In the paper, the authors introduce a new class of convex functions, GT-convex functions, establish some integral inequalities for GT-convex functions and for the product of two GT-convex functions, and give some applications to classical special means.
Shu-Hong Wang, Xiao-Wei Sun, Bai-Ni Guo
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Characterizations and decomposition of strongly Wright-convex functions of higher order [PDF]
Opuscula Mathematica, 2015 Motivated by results on strongly convex and strongly Jensen-convex functions by R. Ger and K. Nikodem in [Strongly convex functions of higher order, Nonlinear Anal.
Attila Gilányi +3 more
doaj +1 more source
Filomat, 2019 Let A,B, and X be bounded linear operators on a separable Hilbert space such that A,B are positive, X ? ?I, for some positive real number ?, and ? ? [0,1]. Among other results, it is shown that if f(t) is an increasing function on [0,?) with f(0) = 0 such that f(?t) is convex, then ?|||f(?A + (1-?)B) + f(?|A-B|)|||?|||?f(A)X + (1-?)Xf (B ...
Omar Hirzallah, Ata Abu-As’ad
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Coefficient estimates of new classes of q-starlike and q-convex functions of complex order
, 2016 We introduce new classes of q -starlike and q -convex functions of complex order involving the q -derivative operator defined in the open unit disc. Furthermore, we find estimates on the coefficients for second and third coefficients of these classes ...
T. Seoudy, M. Aouf
semanticscholar +1 more source
Chiral Engineered Biomaterials: New Frontiers in Cellular Fate Regulation for Regenerative Medicine
Advanced Functional Materials, EarlyView.Chiral engineered biomaterials can selectively influence cell behaviors in regenerative medicine. This review covers chiral engineered biomaterials in terms of their fabrication methods, cellular response mechanisms, and applications in directing stem cell differentiation and tissue function.
Yuwen Wang +5 more
wiley +1 more source
Global approximation of convex functions by differentiable convex functions on Banach spaces [PDF]
arXiv, 2014 We show that if $X$ is a Banach space whose dual $X^{*}$ has an equivalent locally uniformly rotund (LUR) norm, then for every open convex $U\subseteq X$, for every $\varepsilon >0$, and for every continuous and convex function $f:U \rightarrow \mathbb{R}$ (not necessarily bounded on bounded sets) there exists a convex function $g:X \rightarrow \mathbb{
arxiv
Advanced Functional Materials, EarlyView.Selective soldering via molten metal printing enables component integration, even in heat‐sensitive applications across fields like additive manufacturing, sustainable electronics, and smart textiles. This method overcomes the temperature limitations of existing technologies.
Dániel Straubinger +4 more
wiley +1 more source
Operator log-convex functions and f-divergence functional [PDF]
arXiv, 2013 We present a characterization of operator log-convex functions by using positive linear mappings. Moreover, we study the non-commutative f-divergence functional of operator log-convex functions. In particular, we prove that f is operator log-convex if and only if the non-commutative f-divergence functional is operator log-convex in its first variable ...
arxiv
Infima of convex functions [PDF]
Transactions of the American Mathematical Society, 1989 Let Γ ( X ) \Gamma (X) be the lower semicontinuous, proper, convex functions on a real normed linear space X X . We produce a simple description of what is, essentially, the weakest topology on Γ ( X ) \Gamma (X) such that the value ...
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Disulfide Glass: An Optical Polymer for Commodity Plastics, Precision Optics, and Photonics
Advanced Functional Materials, EarlyView.From oil and glass refining to high performance commodity polymers with enhanced thermomechanical and optical properties—the synthesis of a new high refractive index, highly transparent optical thermoset polymer is reported, termed, disulfide glass that affords a robust optical glass amenable to fabrication of precision optics and thin film photonic ...
Jake Molineux +15 more
wiley +1 more source