Results 1 to 10 of about 183,031 (208)
Jensen–Steffensen inequality for strongly convex functions [PDF]
Journal of Inequalities and Applications, 2018 The Jensen inequality for convex functions holds under the assumption that all of the included weights are nonnegative. If we allow some of the weights to be negative, such an inequality is called the Jensen–Steffensen inequality for convex functions. In
M. Klaričić Bakula
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On generalized strongly modified h-convex functions [PDF]
Journal of Inequalities and Applications, 2020 We derive some properties and results for a new extended class of convex functions, generalized strongly modified h-convex functions. Moreover, we discuss Schur-type, Hermite–Hadamard-type, and Fejér-type inequalities for this class.
Taiyin Zhao +4 more
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\(h\)-strongly \(E\)-convex functions
Journal of Numerical Analysis and Approximation Theory, 2011 Starting from strongly \(E\)-convex functions introduced by E. A. Youness, and T. Emam, from \(h\)-convex functionsintroduced by S. Varošanec and from the more general conceptof \(h\)-convex functions introduced by A.
Daniela Marian
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Acceleration of the PDHGM on Partially Strongly Convex Functions. [PDF]
J Math Imaging Vis, 2017 We propose several variants of the primal-dual method due to Chambolle and Pock. Without requiring full strong convexity of the objective functions, our methods are accelerated on subspaces with strong convexity. This yields mixed rates, O ( 1 / N 2 ) with respect to initialisation and O(1 / N) with respect to the dual sequence, and the residual part ...
Valkonen T, Pock T.
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Strongly Reciprocally p-Convex Functions and Some Inequalities [PDF]
Journal of Mathematics, 2020 In this paper, we generalize the concept of strong and reciprocal convexity. Some basic properties and results will be presented for the new class of strongly reciprocally p-convex functions. Furthermore, we will discuss the Hermite–Hadamard-type, Jensen-
Hao Li +3 more
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On strongly starlike and strongly convex functions with bounded radius and bounded boundary rotation [PDF]
Journal of Inequalities and Applications, 2020 In this paper, we introduce and investigate new classes of normalized analytic functions in an open unit disk with bounded radius and bounded boundary rotation by using the subordination.
Sabir Hussain, Khalil Ahmad
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New Improvements of the Jensen–Mercer Inequality for Strongly Convex Functions with Applications [PDF]
AxiomsIn this paper, we use the generalized version of convex functions, known as strongly convex functions, to derive improvements to the Jensen–Mercer inequality. We achieve these improvements through the newly discovered characterizations of strongly convex
Muhammad Adil Khan +2 more
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Higher order strongly general convex functions and variational inequalities
AIMS Mathematics, 2020 In this paper, we define and consider some new concepts of the higher order strongly general convex functions with respect to an arbitrary function. Some properties of the higher order strongly general convex functions are investigated under suitable ...
Muhammad Aslam Noor, Khalida Inayat Noor
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An Extended Gradient Method for Smooth and Strongly Convex Functions [PDF]
Mathematics, 2023 In this work, we introduce an extended gradient method that employs the gradients of the preceding two iterates to construct the search direction for the purpose of solving the centralized and decentralized smooth and strongly convex functions ...
Xuexue Zhang, Sanyang Liu, Nannan Zhao
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Generalizations of Ostrowski type inequalities via F-convexity
AIMS Mathematics, 2022 The aim of this article is to give new generalizations of both the Ostrowski's inequality and some of its new variants with the help of the F-convex function class, which is a generalization of the strongly convex functions.
Alper Ekinci +3 more
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