Results 31 to 40 of about 10,963,226 (321)
Hermite-Hadamard Type Inequalities for the Class of Convex Functions on Time Scale
Mathematics, 2019 We investigate a time scale version of two auxiliary functions for the class of convex functions. We derive several novel dynamic inequalities for these classes of convex functions.
S. Rashid +4 more
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On the Sublinear Convergence Rate of Multi-Block ADMM
, 2015 The alternating direction method of multipliers (ADMM) is widely used in solving structured convex optimization problems. Despite of its success in practice, the convergence properties of the standard ADMM for minimizing the sum of $N$ $(N\geq 3)$ convex
Lin, Tianyi +2 more
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A Robust Accelerated Optimization Algorithm for Strongly Convex Functions [PDF]
American Control Conference, 2017 This work proposes an accelerated first-order algorithm we call the Robust Momentum Method for optimizing smooth strongly convex functions. The algorithm has a single scalar parameter that can be tuned to trade off robustness to gradient noise versus ...
Saman Cyrus +3 more
semanticscholar +1 more source
Smooth convex extensions of convex functions [PDF]
Calculus of Variations and Partial Differential Equations, 2019 Final ...
Azagra, Daniel, Mudarra, Carlos
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Convex Functions and Spacetime Geometry
, 2001 Convexity and convex functions play an important role in theoretical physics. To initiate a study of the possible uses of convex functions in General Relativity, we discuss the consequences of a spacetime $(M,g_{\mu \nu})$ or an initial data set $(\Sigma,
+12 more
core +2 more sources
On Integral Inequalities for Product and Quotient of Two Multiplicatively Convex Functions
Asian Research Journal of Mathematics, 2019 In this paper, we derived integral inequalities of Hermite-Hadamard type in the setting of multiplicative calculus for multiplicatively convex and convex functions.
M. Ali +4 more
semanticscholar +1 more source
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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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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On the Subdifferentiability of Convex Functions [PDF]
Proceedings of the American Mathematical Society, 1965 (Thus the subgradients of f correspond to the nonvertical supporting hyperplanes to the convex set consisting of all the points of E (DR lying above the graph of f.) The set of subgradients of f at x is denoted by of(x). If of(x) is not empty, f is said to be subdifferenticable at x.
A. Brøndsted, R. T. Rockafellar
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Advanced Biology, EarlyView.The unrolling of the peltate leaves in Syngonium podophyllum is analyzed and quantified (left‐hand side to center). These measurements serve to verify a mathematical model for leaf unrolling based on the model used in Schmidt (2007). An additional formula for obtaining a layer mismatch from a prescribed radius is derived.
Michelle Modert +4 more
wiley +1 more source