Results 81 to 90 of about 11,050,393 (374)
Relatively Smooth Convex Optimization by First-Order Methods, and Applications [PDF]
SIAM Journal on Optimization, 2016 The usual approach to developing and analyzing first-order methods for smooth convex optimization assumes that the gradient of the objective function is uniformly smooth with some Lipschitz constant $L$.
Haihao Lu, R. Freund, Y. Nesterov
semanticscholar +1 more source
Root Function and Convex Function
Communications Faculty Of Science University of Ankara, 1974 Many authors [1], [2], [3], [4] considered the problems under different weak conditions which imply the continuity of the functions. In this section, we will consider convex functions on a commutative topological group with a root function.
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Approximately convex functions [PDF]
Proceedings of the American Mathematical Society, 1952 So far we have discussed the stability of various functional equations. In the present section, we consider the stability of a well-known functional inequality, namely the inequality defining convex functions: $$f\left( {\lambda x + \left( {1 - \lambda } \right)y} \right) \leqslant \lambda f\left( x \right) + \left( {1 - \lambda } \right)f\left( y \
Stanislaw M. Ulam, Donald H. Hyers
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A universal bound on the variations of bounded convex functions [PDF]
, 2015 Given a convex set $C$ in a real vector space $E$ and two points $x,y\in C$, we investivate which are the possible values for the variation $f(y)-f(x)$, where $f:C\longrightarrow [m,M]$ is a bounded convex function. We then rewrite the bounds in terms of
Kwon, Joon
core
, 2019 For a function defined on a convex set in a Euclidean space, midpoint convexity is the property requiring that the value of the function at the midpoint of any line segment is not greater than the average of its values at the endpoints of the line ...
Moriguchi, Satoko +3 more
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Advanced Engineering Materials, EarlyView.Picosecond direct laser interference patterning (DLIP) enables precise microstructure fabrication on stainless steel. Using a multiscan approach, high‐aspect‐ratio patterns are achieved. Fluence influences structure growth and homogeneity, with smaller periods yielding better uniformity.
Fabian Ränke +5 more
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Unification of Generalized and p-Convexity
Journal of Function Spaces, 2020 In the present note, we will introduce the definition of generalized p convex function. We will investigate some properties of generalized p convex function.
Chahn Yong Jung +5 more
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Quasi Semi and Pseudo Semi (p,E)-Convexity in Non-Linear Optimization Programming
Ibn Al-Haitham Journal for Pure and Applied Sciences, 2023 The class of quasi semi -convex functions and pseudo semi -convex functions are presented in this paper by combining the class of -convex functions with the class of quasi semi -convex functions and pseudo semi -convex functions, respectively.
Revan I. Hazim, Saba N. Majeed
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Advanced Engineering Materials, EarlyView.This study explores the effects of pixel size and spacing when fabricating electroluminescent (EL) multipixel displays. COMSOL simulations identify the impact of pixel dimensions and spacing on electric field distribution and lighting efficiency. Flexible, high‐resolution EL pixel arrays are reverse offset printed, achieving a 96% reduction in pixel ...
Huanghao Dai +3 more
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Subordination by convex functions
International Journal of Mathematics and Mathematical Sciences, 2000 Let K(α), 0 ...
Ram Singh, Sukhjit Singh
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