Results 31 to 40 of about 807,538 (297)
MULTIPLIER TRANSFORMATIONS AND STRONGLY CLOSE-TO-CONVEX FUNCTIONS
Bulletin of the Korean Mathematical Society, 2003 Let \({\mathcal A}\) be the class of functions \(f(z)=z+\sum_{k=2}^\infty a_kz^k\) that are analytic in the unit disc \({\mathcal U}=\{z:|z|
Cho, Nak Eun, Kim, Tae Hwa
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On a problem connected with strongly convex functions [PDF]
Mathematical Inequalities & Applications, 2016 Summary: In this paper we show that the result obtained by \textit{K. Nikodem} and \textit{Z. Páles} [Banach J. Math. Anal. 5, No. 1, 83--87 (2011; Zbl 1215.46016)] can by extended to a more general case. In particular, for a non-negative function \(F\) defined on a real vector space we define \(F\)-strongly convex functions and show that such ...
Mirosław Adamek
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Caputo Fractional Derivative Hadamard Inequalities for Strongly m-Convex Functions [PDF]
Journal of Function Spaces, 2021 In this paper, two versions of the Hadamard inequality are obtained by using Caputo fractional derivatives and strongly m-convex functions. The established results will provide refinements of well-known Caputo fractional derivative Hadamard inequalities ...
Xue Feng +5 more
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On Some Problems of Strongly Ozaki Close-to-Convex Functions [PDF]
Journal of Function Spaces, 2020 The purpose of the current paper is to investigate some geometric properties of the class FOν,γ, called strongly Ozaki close-to-convex functions, such as strongly starlikeness and close-to-convexity.
Zahra Maleki +3 more
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Large deviations rates for stochastic gradient descent with strongly convex functions [PDF]
International Conference on Artificial Intelligence and Statistics, 2022 Recent works have shown that high probability metrics with stochastic gradient descent (SGD) exhibit informativeness and in some cases advantage over the commonly adopted mean-square error-based ones.
D. Bajović, D. Jakovetić, S. Kar
semanticscholar +1 more source
On the Convergence Rate of Quasi-Newton Methods on Strongly Convex Functions with Lipschitz Gradient
Mathematics, 2023 The main results of the study of the convergence rate of quasi-Newton minimization methods were obtained under the assumption that the method operates in the region of the extremum of the function, where there is a stable quadratic representation of the ...
V. Krutikov +3 more
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On strongly convex functions [PDF]
Carpathian Journal of Mathematics, 2016 The main results of this paper give a connection between strong Jensen convexity and strong convexity type inequalities. We are also looking for the optimal Takagi type function of strong convexity. Finally a connection will be proved between the Jensen error term and an useful error function.
Házy, Attila, Makó, Judit
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Axioms, 2022 The logarithmic coefficients are very essential in the problems of univalent functions theory. The importance of the logarithmic coefficients is due to the fact that the bounds on logarithmic coefficients of f can transfer to the Taylor coefficients of ...
Sevtap Sümer Eker +3 more
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Hermite-Hadamard type inequalities for Wright-convex functions of several variables [PDF]
Opuscula Mathematica, 2015 We present Hermite-Hadamard type inequalities for Wright-convex, strongly convex and strongly Wright-convex functions of several variables defined on simplices.
Dorota Śliwińska, Szymon Wąsowicz
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Global Linear Convergence of Evolution Strategies on More Than Smooth Strongly Convex Functions [PDF]
SIAM Journal on Optimization, 2020 Evolution strategies (ESs) are zero-order stochastic black-box optimization heuristics invariant to monotonic transformations of the objective function. They evolve a multivariate normal distribution, from which candidate solutions are generated.
Youhei Akimoto +3 more
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