Results 31 to 40 of about 183,031 (208)
AIMS Mathematics, 2021 In this paper Hadamard type inequalities for strongly (α,m)-convex functions via generalized Riemann-Liouville fractional integrals are studied. These inequalities provide generalizations as well as refinements of several well known inequalities.
Ghulam Farid +3 more
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Separation by strongly h-convex functions [PDF]
Mathematical Inequalities & Applications, 2018 Summary: The convex separation problem is studied intensively in many situation: It is answered for the cases of classical convexity, strong convexity, \(h\)-convexity and strongh-convexity with multiplicative \(h\). In the case of \(h\)-convexity, multiplicativity turns out to be considerably relaxed.
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Criteria for a certain class of the Carathéodory functions and their applications
Journal of Inequalities and Applications, 2020 In this paper, we obtain some potentially useful conditions (or criteria) for the Carathéodory functions as a certain class of analytic functions by applying Nunokawa’s lemma.
Nak Eun Cho +3 more
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Journal of Mathematics, 2021 Convexity theory becomes a hot area of research due to its applications in pure and applied mathematics, especially in optimization theory. The aim of this paper is to introduce a broader class of convex functions by unifying geometrically strong convex ...
Xishan Yu +3 more
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New Criteria for Meromorphic Starlikeness and Close-to-Convexity
Mathematics, 2020 The main purpose of current paper is to obtain some new criteria for meromorphic strongly starlike functions of order α and strongly close-to-convexity of order α .
Ali Ebadian +3 more
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CoCoA: A General Framework for Communication-Efficient Distributed Optimization [PDF]
, 2017 The scale of modern datasets necessitates the development of efficient distributed optimization methods for machine learning. We present a general-purpose framework for distributed computing environments, CoCoA, that has an efficient communication scheme
Forte, Simone +5 more
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On Strongly Convex Functions via Caputo–Fabrizio-Type Fractional Integral and Some Applications
Journal of Mathematics, 2021 The theory of convex functions plays an important role in the study of optimization problems. The fractional calculus has been found the best to model physical and engineering processes.
Qi Li +4 more
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Variants of RMSProp and Adagrad with Logarithmic Regret Bounds [PDF]
, 2017 Adaptive gradient methods have become recently very popular, in particular as they have been shown to be useful in the training of deep neural networks. In this paper we have analyzed RMSProp, originally proposed for the training of deep neural networks,
Hein, Matthias +1 more
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On strongly generalized convex functions
Filomat, 2017 The main objective of this article is to introduce the notion of strongly generalized convex functions which is called as strongly ?-convex functions. Some related integral inequalities of Hermite-Hadamard and Hermite-Hadamard-Fej?r type are also obtained. Special cases are also investigated.
Awan, Muhammad Uzair +3 more
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New Inequalities for Strongly r-Convex Functions
Journal of Function Spaces, 2019 In this study, firstly we introduce a new concept called “strongly r-convex function.” After that we establish Hermite-Hadamard-like inequalities for this class of functions.
Huriye Kadakal
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