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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Estimates of Upper Bound for Differentiable Functions Associated with
, 2020 Shanhe Wu +2 more
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On some inequalities for strongly reciprocally convex functions
Extracta Mathematicae, 2018 We establish some Hermite-Hadamard and Fejér type inequalities for the class of strongly reciprocally convex functions.
Mireya Bracamonte +2 more
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On Some Problems of Strongly Ozaki Close-to-Convex Functions
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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Unifying Nesterov's Accelerated Gradient Methods for Convex and Strongly Convex Objective Functions: From Continuous-Time Dynamics to Discrete-Time Algorithms [PDF]
, 2023 Jungbin Kim, Insoon Yang
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Certain Conditions For Strongly Starlike And Strongly Convex Functions
, 2010 In the present paper, we investigate a differential subordination involving multiplier transformation related to a sector in the open unit disk E = {z : |z| < 1}. As special cases to our main result, certain sufficient conditions for strongly starlike and strongly convex functions are obtained.
Billing, Sukhwinder Singh +2 more
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Generalization of q-Integral Inequalities for α,ℏ−m-Convex Functions and Their Refinements
Journal of Function SpacesThis article finds q- and h-integral inequalities in implicit form for generalized convex functions. We apply the definition of q−h-integrals to establish some new unified inequalities for a class of α,ℏ−m-convex functions.
Ria H. Egami +4 more
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A note on the optimal convergence rate of descent methods with fixed step sizes for smooth strongly convex functions [PDF]
, 2021 André Uschmajew, Bart Vandereycken
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On p-Valently Meromorphic-Strongly Starlike and Convex Functions
International Journal of Analysis and Applications, 2016 In this paper, we obtain sufficient conditions for analytic function $f(z)$ in the punctured unit disk to be $p$-valently meromorphic-strongly starlike and $p$-valently meromorphic-strongly convex of order $\beta$ and type $\alpha$.
Rahim Kargar, Ali Ebadian, Janusz Sokol
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