Results 101 to 110 of about 1,143,382 (359)
On Bazilevič and convex functions [PDF]
Transactions of the American Mathematical Society, 1969 (2) zf'(z) = f(z)'g(z)lh(z) and (3) Reh(z) = Re(zf'(z)/f(z)'1-,g(z)") > 0 in IzI < 1. Thomas [12] called a function satisfying the condition (3) a Bazilevic function of type /. Let C(r) denote the curve which is the image of the circle Izi =r < 1 under the mapping w =f(z), and let L(r) denote the length of C(r). Let M(r) = maxj2j = r I f(z) 1.
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Journal of Inequalities and Applications, 2014 The paper provides the characteristic properties of half convex functions. The analytic and geometric image of half convex functions is presented using convex combinations and support lines. The results relating to convex combinations are applied to quasi-arithmetic means.
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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
Hermite-Hadamard type inequalities for r-convex functions in q-calculus
Le Matematiche, 2015 The aim of this work is to establish the q-analogue of Hermite-Hadamard inequalities for convex functions and r-convex functions.
Kamel Brahim, Riahi Latifa, Sabrina Taf
doaj
A convexity of functions on convex metric spaces of Takahashi and applications [PDF]
arXiv, 2015 We quickly review and make some comments on the concept of convexity in metric spaces due to Takahashi. Then we introduce a concept of convex structure based convexity to functions on these spaces and refer to it as $W-$convexity. $W-$convex functions generalize convex functions on linear spaces. We discuss illustrative examples of (strict) $ W-$convex
arxiv
Differential Stability of Convex Discrete Optimal Control Problems
, 2017 Differential stability of convex discrete optimal control problems in Banach spaces is studied in this paper. By using some recent results of An and Yen [Appl. Anal.
An, Duong Thi Viet, Toan, Nguyen Thi
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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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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
Journal of Inequalities and Applications, 2019 In this paper, we introduce the notion of exponentially p-convex function and exponentially s-convex function in the second sense. We establish several Hermite–Hadamard type inequalities for exponentially p-convex functions and exponentially s-convex ...
Naila Mehreen, Matloob Anwar
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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